


Paper's Title:
Inequalities for Discrete FDivergence Measures: A Survey of Recent Results
Author(s):
Sever S. Dragomir^{1,2}
^{1}Mathematics, School of Engineering
& Science
Victoria University, PO Box 14428
Melbourne City, MC 8001,
Australia
Email: sever.dragomir@vu.edu.au
^{2}DSTNRF Centre of Excellence in the Mathematical and Statistical Sciences,
School of Computer Science & Applied Mathematics,
University of the Witwatersrand,
Private Bag 3, Johannesburg 2050,
South Africa
URL:
http://rgmia.org/dragomir
Abstract:
In this paper we survey some recent results obtained by the author in providing various bounds for the celebrated fdivergence measure for various classes of functions f. Several techniques including inequalities of Jensen and Slater types for convex functions are employed. Bounds in terms of KullbackLeibler Distance, Hellinger Discrimination and Varation distance are provided. Approximations of the fdivergence measure by the use of the celebrated Ostrowski and Trapezoid inequalities are obtained. More accurate approximation formulae that make use of Taylor's expansion with integral remainder are also surveyed. A comprehensive list of recent papers by several authors related this important concept in information theory is also included as an appendix to the main text.
Paper's Title:
Inequalities for Functions of Selfadjoint Operators on Hilbert Spaces:
a Survey of Recent Results
Author(s):
Sever S. Dragomir^{1,2}
^{1}Mathematics,
College of Engineering
& Science
Victoria University, PO Box 14428
Melbourne City, MC 8001,
Australia
Email: sever.dragomir@vu.edu.au
^{2}DSTNRF Centre of Excellence in the Mathematical and Statistical Sciences,
School of Computer Science & Applied Mathematics,
University of the Witwatersrand,
Private Bag 3, Johannesburg 2050,
South Africa
URL:
https://rgmia.org/dragomir
Abstract:
The main aim of this survey is to present recent results concerning inequalities for continuous functions of selfadjoint operators on complex Hilbert spaces. It is intended for use by both researchers in various fields of Linear Operator Theory and Mathematical Inequalities, domains which have grown exponentially in the last decade, as well as by postgraduate students and scientists applying inequalities in their specific areas.
Paper's Title:
Ostrowski Type Inequalities for Lebesgue Integral: a Survey of Recent Results
Author(s):
Sever S. Dragomir^{1,2}
^{1}Mathematics, School of Engineering
& Science
Victoria University, PO Box 14428
Melbourne City, MC 8001,
Australia
Email: sever.dragomir@vu.edu.au
^{2}DSTNRF Centre of Excellence in the Mathematical and Statistical Sciences,
School of Computer Science & Applied Mathematics,
University of the Witwatersrand,
Private Bag 3, Johannesburg 2050,
South Africa
URL:
http://rgmia.org/dragomir
Abstract:
The main aim of this survey is to present recent results concerning Ostrowski type inequalities for the Lebesgue integral of various classes of complex and realvalued functions. The survey is intended for use by both researchers in various fields of Classical and Modern Analysis and Mathematical Inequalities and their Applications, domains which have grown exponentially in the last decade, as well as by postgraduate students and scientists applying inequalities in their specific areas.
Paper's Title:
Polynomial Dichotomy of C_{0}Quasi Semigroups in Banach Spaces
Author(s):
Sutrima^{1,2}, Christiana Rini Indrati^{2}, Lina Aryati^{2}
^{1}Department of Mathematics,
Universitas Sebelas Maret,
PO Box 57126, Surakarta,
Indonesia.
Email: sutrima@mipa.uns.ac.id
^{2}Department of Mathematics,
Universitas Gadjah Mada,
PO Box 55281, Yogyakarta,
Indonesia.
Email: rinii@ugm.ac.id,
lina@ugm.ac.id
Abstract:
Stability of solutions of the problems is an important aspect for application purposes. Since its introduction by Datko [7], the concept of exponential stability has been developed in various types of stability by various approaches. The existing conditions use evolution operator, evolution semigroup, and quasi semigroup approach for the nonautonomous problems and a semigroup approach for the autonomous cases. However, the polynomial stability based on C_{0}quasi semigroups has not been discussed in the references. In this paper we propose a new stability for C_{0}quasi semigroups on Banach spaces i.e the polynomial stability and polynomial dichotomy. As the results, the sufficient and necessary conditions for the polynomial and uniform polynomial stability are established as well as the sufficiency for the polynomial dichotomy. The results are also confirmed by the examples.
Paper's Title:
Attempts to Define a BaumConnes Map Via Localization of Categories for Inverse Semigroups
Author(s):
Bernhard Burgstaller
Departamento de Matematica,
Universidade Federal de Santa Catarina,
CEP 88.040900 FlorianopolisSC,
Brasil.
Email:
bernhardburgstaller@yahoo.de
URL:
http://mathematik.work/bernhardburgstaller/index.html
Abstract:
An induction functor in inverse semigroup equivariant KKtheory is considered, and together with %a restriction functors certain results similar to those known from the Mackey machinery are shown. It is also verified that for any socalled Econtinuous inverse semigroup its equivariant KKtheory satisfies the universal property and is a triangulated category.
Paper's Title:
On an Autocorrection Phenomenon of the Eckhoff Interpolation
Author(s):
A. Poghosyan
Institute of Mathematics, National Academy
of Sciences,
24b Marshal Baghramian ave., Yerevan 0019,
Republic of Armenia
arnak@instmath.sci.am
Abstract:
The paper considers the KrylovLanczos and the Eckhoff interpolations of a function with a discontinuity at a known point. These interpolations are based on certain corrections associated with jumps in the first derivatives. In the Eckhoff interpolation, approximation of the exact jumps is accomplished by the solution of a system of linear equations. We show that in the regions where the 2periodic extension of the interpolated function is smooth, the Eckhoff interpolation converges faster compared with the KrylovLanczos interpolation. This accelerated convergence is known as the autocorrection phenomenon. The paper presents a theoretical explanation of this phenomenon. Numerical experiments confirm theoretical estimates.
Paper's Title:
Lie Group Theoretic Approach of OneDimensional BlackScholes Equation
Author(s):
P. L. Zondi and M. B. Matadi
Department of Mathematical sciences,
Faculty of Sciences & Agriculture, University of Zululand,
P Bag X1001, KwaDlangezwa 3886,
South Africa.
Email: matadim@unizulu.ac.za
zondip@unizulu.ac.za
Abstract:
This study discusses the Lie Symmetry Analysis of BlackScholes equation via a modified local oneparameter transformations. It can be argued that the transformation of the BlackScholes equation is firstly obtained by means of riskless rate. Thereafter, the corresponding determining equations to the reduced equation are found. Furthermore, new symmetries of the BlackScholes equation are constructed and lead to invariant solutions.
Paper's Title:
On Some Relations Among the Solutions of the Linear Volterra Integral Equations
Author(s):
Ismet Ozdemir and Faruk Temizer
Inönü Üniversitesi Eğitim Fakültesi,
44280Malatya,
Turkey
Abstract:
The sufficient conditions for y_{1}(x)≤ y_{2}(x) were given in [1] such that y_{m}(x)=f_{m}(x)+∫_{a}^{x} K_{m}(x, t)y_{m}(t)dt,(m=1,2) and x∈ [a, b]. Some properties such as positivity, boundedness and monotonicity of the solution of the linear Volterra integral equation of the form f(t)=1∫_{0}^{t}K(tτ)f(τ)dτ=1K*f, (0≤ t<∞) were obtained, without solving this equation, in [3,4,5,6]. Also, the boundaries for functions f', f'',..., f^{(n)},(n ∈ N) defined on the infinite interval [0, ∞) were found in [7,8].
In this work, for the given equation f(t)=1K* f and n≥ 2, it is derived that there exist the functions L_{2}, L_{3},..., L_{n} which can be obtained by means of K and some inequalities among the functions f, h_{2}, h_{3},..., h_{i} for i=2, 3,...., n are satisfied on the infinite interval [0, ∞), where h_{i} is the solution of the equation h_{i}(t)=1L_{i}* h_{i} and n is a natural number.
Paper's Title:
Estimates of Norms on Krein Spaces
Author(s):
Satheesh K. Athira, P. Sam Johnson and K. Kamaraj
Department of Mathematical and Computational Sciences,
National Institute of Technology Karnataka,
Surathkal, Mangaluru 575 025,
India.
Email: athirachandri@gmail.com
Department of Mathematical and
Computational Sciences,
National Institute of Technology Karnataka,
Surathkal, Mangaluru 575 025,
India.
Email:sam@nitk.edu.in
Department of Mathematics,
University College of Engineering Arni,
Anna University, Arni 632 326,
India.
Email: krajkj@yahoo.com
Abstract:
Various norms can be defined on a Krein space by choosing different underlying fundamental decompositions. Some estimates of norms on Krein spaces are discussed and a few results in Bognar's paper are generalized.
Paper's Title:
Polyanalytic Functions on Subsets of Z[i]
Author(s):
Abtin Daghighi
Linköping University,
SE581 83,
Sweden.
Email: abtindaghighi@gmail.com
Abstract:
For positive integers q we consider the kernel of the powers L^{q} where L is one of three kinds of discrete analogues of the CauchyRiemann operator. The first two kinds are wellstudied, but the third kind less so. We give motivations for further study of the third kind especially since its symmetry makes it more appealing for the cases q≥ 2.
From an algebraic perspective it makes sense that the chosen multiplication on the kernels is compatible with the choice of pseudopowers. We propose such multiplications together with associated pseudopowers. We develop a prooftool in terms of certain sets of uniqueness.
Paper's Title:
Expected Utility with Subjective Events
Author(s):
Jacob Gyntelberg and Frank Hansen
Bank for International Settlements,
Basel,
Switzerland
Tohoku University, Institute for International Education,
Sendai,
Japan
Abstract:
We provide a new theory of expected utility with subjective events modeled by a lattice of projections. This approach allows us to capture the notion of a ``small world'' as a context dependent or local state space embedded into a subjective set of events, the ``grand world''. For each situation the decision makers' subjective ``small world'' reflects the events perceived to be relevant for the act under consideration. The subjective set of events need not be representable by a classical state space. Maintaining preference axioms similar in spirit to the classical axioms, we obtain an expected utility representation which is consistent across local state spaces and separates subjective probability and utility. An added benefit is that this alternative expected utility representation allows for an intuitive distinction between risk and uncertainty.
Paper's Title:
Some New Generalizations of Jensen's Inequality with Related Results and Applications
Author(s):
Steven G. From
Department of Mathematics
University of Nebraska at Omaha
Omaha, Nebraska 681820243.
Email: sfrom@unomaha.edu
Abstract:
In this paper, some new generalizations of Jensen's inequality are presented. In particular, upper and lower bounds for the Jensen gap are given and compared analytically and numerically to previously published bounds for both the discrete and continuous Jensen's inequality cases. The new bounds compare favorably to previously proposed bounds. A new method based on a series of locally linear interpolations is given and is the basis for most of the bounds given in this paper. The wide applicability of this method will be demonstrated. As byproducts of this method, we shall obtain some new HermiteHadamard inequalities for functions which are 3convex or 3concave. The new method works to obtain bounds for the Jensen gap for nonconvex functions as well, provided one or two derivatives of the nonlinear function are continuous. The mean residual life function of applied probability and reliability theory plays a prominent role in construction of bounds for the Jensen gap. We also present an exact integral representation for the Jensen gap in the continuous case. We briefly discuss some inequalities for other types of convexity, such as convexity in the geometric mean, and briefly discuss applications to reliability theory.
Paper's Title:
An Algorithm to Compute GaussianType Quadrature Formulae
that Integrate Polynomials and Some Spline Functions Exactly
Author(s):
Allal Guessab
Laboratoire de Mathématiques Appliquées,
Université de Pau, 64000, Pau,
France.
allal.guessab@univpau.fr
URL: http://www.univpau.fr/~aguessab/
Abstract:
It is wellknown that for sufficiently smooth integrands on an interval, numerical integration can be performed stably and efficiently via the classical (polynomial) Gauss quadrature formulae. However, for many other sets of integrands these quadrature formulae do not perform well. A very natural way of avoiding this problem is to include a wide class among arbitrary functions (not necessary polynomials) to be integrated exactly. The spline functions are natural candidates for such problems. In this paper, after studying Gaussian type quadrature formulae which are exact for spline functions and which contain boundary terms involving derivatives at both end points, we present a fast algorithm for computing their nodes and weights. It is also shown, taking advantage of the close connection with ordinary Gauss quadrature formula, that the latter are computed, via eigenvalues and eigenvectors of real symmetric tridiagonal matrices. Hence a new class of quadrature formulae can then be computed directly by standard software for ordinary Gauss quadrature formula. Comparative results with classical Gauss quadrature formulae are given to illustrate the numerical performance of the approach.
Paper's Title:
Inequalities for the Čebyšev Functional of Two Functions of Selfadjoint Operators in Hilbert Spaces
Author(s):
S. S. Dragomir
School of Engineering and Science
Victoria University, PO 14428
Melbourne City MC,
Victoria 8001,
Australia
sever.dragomir@vu.edu.au
URL: http://www.staff.vu.edu.au/RGMIA/dragomir/
Abstract:
Some recent inequalities for the Čebyšev functional of two functions of selfadjoint linear operators in Hilbert spaces, under suitable assumptions for the involved functions and operators, are surveyed.
Paper's Title:
Bounds on the Jensen Gap, and Implications for MeanConcentrated Distributions
Author(s):
Xiang Gao, Meera Sitharam, Adrian E. Roitberg
Department of Chemistry, and Department
of Computer & Information Science & Engineering,
University of Florida,
Gainesville, FL 32611,
USA.
Email: qasdfgtyuiop@gmail.com
URL:
https://scholar.google.com/citations?user=t2nOdxQAAAAJ
Abstract:
This paper gives upper and lower bounds on the gap in Jensen's inequality, i.e., the difference between the expected value of a function of a random variable and the value of the function at the expected value of the random variable. The bounds depend only on growth properties of the function and specific moments of the random variable. The bounds are particularly useful for distributions that are concentrated around the mean, a commonly occurring scenario such as the average of i.i.d. samples and in statistical mechanics.
Paper's Title:
A Unifying View of Some Banach Algebras
Author(s):
R. Kantrowitz
Mathematics & Statistics Department,
Hamilton College,
198 College Hill Road,
Clinton, NY 13323, USA.
Email: rkantrow@hamilton.edu
Abstract:
The purpose of this article is to shed light on a unifying framework for some normed algebras and, in particular, for some Banach algebras. The focus is on linear operators T between normed algebras X and Y and specified subalgebras A of Y. When the action of T on products in X satisfies a certain operative equation, the subspace T^{1}(A) is stable under the multiplication of X and is readily equipped with a family of canonical submultiplicative norms. It turns out that many familiar and important spaces are encompassed under this versatile perspective, and we offer a sampling of several such. In this sense, the article presents an alternative lens through which to view a host of normed algebras. Moreover, recognition that a normed linear space conforms to this general structure provides another avenue to confirming that it is at once stable under multiplication and also outfitted with an abundance of equivalent submultiplicative norms.
Paper's Title:
Trace Inequalities for Operators in Hilbert Spaces: a Survey of Recent Results
Author(s):
Sever S. Dragomir^{1,2}
^{1}Mathematics,
School of Engineering
& Science
Victoria University,
PO Box 14428
Melbourne City, MC 8001,
Australia
Email: sever.dragomir@vu.edu.au
^{2}DSTNRF Centre of Excellence in the Mathematical and Statistical Sciences,
School of Computer Science & Applied Mathematics,
University of the Witwatersrand,
Private Bag 3, Johannesburg 2050,
South Africa
URL:
https://rgmia.org/dragomir
Abstract:
In this paper we survey some recent trace inequalities for operators in Hilbert spaces that are connected to Schwarz's, Buzano's and Kato's inequalities and the reverses of Schwarz inequality known in the literature as Cassels' inequality and ShishaMond's inequality. Applications for some functionals that are naturally associated to some of these inequalities and for functions of operators defined by power series are given. Further, various trace inequalities for convex functions are presented including refinements of Jensen inequality and several reverses of Jensen's inequality. HermiteHadamard type inequalities and the trace version of Slater's inequality are given. Some Lipschitz type inequalities are also surveyed. Examples for fundamental functions such as the power, logarithmic, resolvent and exponential functions are provided as well.
Paper's Title:
Timelike Surfaces with a Common Line of Curvature in Minkowski 3Space
Author(s):
M.K. Saad, A.Z. Ansari, M. Akram and F. Alharbi
Department of Mathematics ,
Faculty of Science,
Islamic University of Madinah,
KSA
Abstract:
In this paper, we analyze the problem of constructing a timelike surface family from a given nonnull curve line of curvature. Using the Frenet frame of the nonnull curve in Minkowski space E_{1}^{3} we express the family of surfaces as a linear combination of the components of this frame, and derive the necessary and sufficient conditions for the coefficients to satisfy both the line of curvature and the isoparametric requirements. In addition, a necessary and sufficient condition for the given nonnull curve to satisfy the line of curvature and the geodesic requirements is investigated. The extension to timelike surfaces of revolution is also outlined. Meanwhile, some representative nonnull curves are chosen to construct the corresponding timelike surfaces which possessing these curves as lines of curvature. Results presented in this paper have applications in geometric modeling and the manufacturing of products. In addition, some computational examples are given and plotted.
Paper's Title:
Existence and Approximation of Traveling Wavefronts for the Diffusive MackeyGlass Equation
Author(s):
C. RamirezCarrasco and J. MolinaGaray
Facultad de Ciencias Basicas,
Universidad Catolica del Maule, Talca,
Chile
Email: carloshrc1989@gmail.com
molina@imca.edu.pe
Abstract:
In this paper, we consider the diffusive MackeyGlass model with discrete delay. This equation describes the dynamics of the blood cell production. We investigate the existence of traveling wavefronts solutions connecting the two steady states of the model. We develop an alternative proof of the existence of such solutions and we also demonstrate the existence of traveling wavefronts moving at minimum speed. The proposed approach is based on the use technique of upperlower solutions. Finally, through an iterative procedure, we show numerical simulations that approximate the traveling wavefronts, thus confirming our theoretical results.
Paper's Title:
Some Stability Results For Fixed Point Iteration Processes
Author(s):
M. O. Olatinwo, O. O. Owojori, and C. O. Imoru
Department of Mathematics, Obafemi Awolowo University,
IleIfe,
Nigeria.
polatinwo@oauife.edu.ng
walejori@oauife.edu.ng
cimoru@oauife.edu.ng
Abstract:
In this paper, we present some stability results for both the general Krasnoselskij and the Kirk's iteration processes. The method of Berinde \cite{VBE1} is employed but a more general contractive condition than those of Berinde \cite{VBE1}, Harder and Hicks \cite{HAM}, Rhoades \cite{RHO1} and Osilike \cite{OSI1} is considered.
Paper's Title:
An Approximation of Jordan Decomposable Functions for a Lipschitz Function
Author(s):
Ibraheem Alolyan
Mathematics Department,
College of Science, King Saud University
P.O.Box: 2455, Riyadh 11451,
Saudi Arabia
ialolyan05@yahoo.com
Abstract:
The well known Jordan decomposition theorem gives the useful characterization that any function of bounded variation can be written as the difference of two increasing functions. Functions which can be expressed in this way can be used to formulate an exclusion test for the recent Cellular Exclusion Algorithms for numerically computing all zero points or the global minima of functions in a given cellular domain [2,8,9]. In this paper we give an algorithm to approximate such increasing functions when only the values of the function of bounded variation can be computed. For this purpose, we are led to introduce the idea of εincreasing functions. It is shown that for any Lipschitz continuous function, we can find two εincreasing functions such that the Lipschitz function can be written as the difference of these functions.
Paper's Title:
Real Interpolation Methods and Quasilogarithmic Operators
Author(s):
Ming Fan
School of Industrial Technology and Management,
Dalarna University, 781 88 Borlänge, Sweden
fmi@du.se
URL: http://users.du.se/~fmi
Abstract:
The purpose of this paper is to deal with nonlinear quasilogarithmic operators, which possesses the uniformly bounded commutator property on various interpolation spaces in the sense of BrudnyiKrugljak associated with the quasipower parameter spaces. The duality, and the domain and range spaces of these operators are under consideration. Some known inequalities for the Lebesgue integration spaces and the trace classes are carried over to the noncommutative symmetric spaces of measurable operators affiliated with a semifinite von Neumann algebra.
Paper's Title:
On Reformations of 2Hilbert Spaces
Author(s):
M. Eshaghi Gordji, A. Divandari, M. R. Safi and Y. J. Cho
Department of Mathematics, Semnan
University,
P.O. Box 35195363, Semnan,
Iran
meshaghi@semnan.ac.ir, madjid.eshaghi@gmail.com
Department of Mathematics, Semnan
University,
Iran
Department of Mathematics, Semnan
University,
Iran
safi@semnan.ac.ir, SafiMohammadReza@yahoo.com
Department of Mathematics Education and
the RINS,
Gyeongsang National University
Chinju 660701,
Korea
Abstract:
In this paper, first, we introduce the new concept of (complex) 2Hilbert spaces, that is, we define the concept of 2inner product spaces with a complex valued 2inner product by using the 2norm. Next, we prove some theorems on Schwartz's inequality, the polarization identity, the parallelogram laws and related important properties. Finally, we give some open problems related to 2Hilbert spaces.
Paper's Title:
Inverse problems for parabolic equations
Author(s):
A. G. Ramm
Mathematics Department,
Kansas State University,
Manhattan, KS 665062602,
USA
ramm@math.ksu.edu
URL: http://www.math.ksu.edu/~ramm
Abstract:
Let _{} in _{}, where _{} is a bounded domain with a smooth connected boundary _{}, _{}, _{} is the deltafunction. Assume that _{}, _{} on _{}. Given the extra data _{}, _{}, can one find _{}, _{} and _{} Here _{} is some number. An answer to this question and a method for finding _{}, _{} and _{} are given.
Paper's Title:
Positive Solutions for Systems of Threepoint Nonlinear Boundary Value Problems
Author(s):
J. Henderson and S. K. Ntouyas
Department of Mathematics, Baylor University
Waco, Texas
767987328 USA.
Johnny_Henderson@baylor.edu
URL: http://www3.baylor.edu/~Johnny_Henderson
Department of Mathematics, University of Ioannina
451 10 Ioannina,
Greece.
sntouyas@cc.uoi.gr
URL: http://www.math.uoi.gr/~sntouyas
Abstract:
Values of λ are determined for which there exist positive solutions of the system of threepoint boundary value problems, u''(t)+ λa(t)f(v(t))=0, v''(t)+λb(t)g(u(t))=0, for 0 < t <1, and satisfying, u(0) = 0, u(1)=α u(η), v(0) = 0, v(1)=α v(η). A GuoKrasnosel'skii fixed point theorem is applied.
Paper's Title:
Approximation of Common Fixed Points of a Finite Family of Asymptotically Demicontractive Mappings in Banach Spaces
Author(s):
Yuchao Tang,^{ }Yong Cai, Liqun Hu and Liwei Liu
Department of Mathematics, NanChang University,
Nanchang 330031, P.R. China
Department of Mathematics, Xi'an Jiaotong University,
Xi'an 710049, P.R.
China
Abstract:
By virtue of new analytic techniques, we analyze and
study
several strong convergence theorems for the approximation of
common fixed points of asymptotically demicontractive mappings
via the multistep iterative sequence with errors in Banach
spaces. Our results improve and extend the corresponding ones
announced by Osilike , Osilike and Aniagbosor, Igbokwe, Cho et
al., Moore and Nnoli, Hu and all the others.
Paper's Title:
Inclusion Properties of a Certain Subclass of Strongly CloseToConvex Functions
Author(s):
S. M. Khairnar and M. More
Department of Mathematics,
Maharashtra Academy of Engineerring,
Alandi 412 105, Pune, Maharashtra,
INDIA.
smkhairnar2007@gmail.com,
meenamores@gmail.com.
Abstract:
The purpose of this paper is to derive some inclusion and argument properties of a new subclass of strongly closetoconvex functions in the open unit disc. We have considered an integral operator defined by convolution involving hypergeometric function in the subclass definition. The subclass also extends to the class of αspirallike functions of complex order.
Paper's Title:
Approximation of an AQCQFunctional Equation and its Applications
Author(s):
Choonkil Park and Jung Rye Lee
Department of Mathematics,
Research Institute for Natural Sciences,
Hanyang University, Seoul 133791,
Korea;
Department of Mathematics,
Daejin University,
Kyeonggi 487711,
Korea
baak@hanyang.ac.kr
jrlee@daejin.ac.kr
Abstract:
This paper is a survey on the generalized HyersUlam stability of an AQCQfunctional equation in several spaces. Its content is divided into the following sections:
1. Introduction and preliminaries.
2. Generalized HyersUlam stability of an AQCQfunctional equation in Banach spaces: direct method.
3. Generalized HyersUlam stability of an AQCQfunctional equation in Banach spaces: fixed point method.
4. Generalized HyersUlam stability of an AQCQfunctional equation in random Banach spaces: direct method.
5. Generalized HyersUlam stability of an AQCQfunctional equation in random Banach spaces: fixed point method.
6. Generalized HyersUlam stability of an AQCQfunctional equation in nonArchimedean Banach spaces: direct method.
7. Generalized HyersUlam stability of an AQCQfunctional equation in nonArchimedean Banach spaces: fixed point method.
Paper's Title:
Invariant Subspaces Close to Almost Invariant Subspaces for Bounded Linear Operators
Author(s):
M. A. Farzaneh, A. Assadi and H. M. Mohammadinejad
Department of Mathematical and
Statistical Sciences,
University of Birjand,
PO Box 97175/615, Birjand,
Iran.
Email: farzaneh@birjand.ac.ir
Department of Mathematical and
Statistical Sciences,
University of Birjand,
PO Box 97175/615, Birjand,
Iran.
Email: assadiaman@birjand.ac.ir
Department of Mathematical and
Statistical Sciences,
University of Birjand,
PO Box 97175/615, Birjand,
Iran.
Email: hmohammadin@birjand.ac.ir
Abstract:
In this paper, we consider some features of almost invariant subspace notion. At first, we restate the notion of almost invariant subspace and obtain some results. Then we try to achieve an invariant subspace completely close to an almost invariant subspace. Also, we introduce the notion of "almost equivalent subspaces" to simply the subject related to almost invariant subspaces and apply it.
Paper's Title:
Sharp Inequalities Between Hölder and Stolarsky Means of Two Positive Numbers
Author(s):
M. Bustos Gonzalez and A. I. Stan
The University of Iowa,
Department of Mathematics,
14 MacLean Hall,
Iowa City, Iowa,
USA.
Email:
margaritabustosgonzalez@uiowa.edu
The Ohio State University at Marion,
Department of Mathematics,
1465 Mount Vernon Avenue,
Marion, Ohio,
USA.
Email: stan.7@osu.edu
Abstract:
Given any index of the Stolarsky means, we find the greatest and least indexes of the H\"older means, such that for any two positive numbers, the Stolarsky mean with the given index is bounded from below and above by the Hölder means with those indexes, of the two positive numbers. Finally, we present a geometric application of this inequality involving the FermatTorricelli point of a triangle.
Paper's Title:
Local and Global Existence and Uniqueness Results for Second and Higher Order Impulsive Functional Differential Equations with Infinite Delay
Author(s):
Johnny Henderson and Abdelghani Ouahab
Department of Mathematics, Baylor University,
Waco, Texas 767987328
USA.
Johnny_Henderson@baylor.edu
Laboratoire de Mathématiques, Université de Sidi Bel Abbés
BP 89, 22000 Sidi Bel Abbées,
Algérie.
ouahab@univsba.dz
Abstract:
In this paper, we discuss the local and global existence and uniqueness results for second and higher order impulsive functional differential equations with infinite delay. We shall rely on a nonlinear alternative of LeraySchauder. For the global existence and uniqueness we apply a recent Frigon and Granas nonlinear alternative of LeraySchauder type in Fréchet spaces.
Paper's Title:
On Stable Numerical Differentiation
Author(s):
N. S. Hoang and A. G. Ramm
Mathematics Department, Kansas State University
Manhattan, KS 665062602,
U. S. A.
nguyenhs@math.ksu.edu
ramm@math.ksu.edu
URL:http://math.ksu.edu/~ramm
Abstract:
Based on a regularized Volterra equation, two different approaches for numerical differentiation are considered. The first approach consists of solving a regularized Volterra equation while the second approach is based on solving a disretized version of the regularized Volterra equation. Numerical experiments show that these methods are efficient and compete favorably with the variational regularization method for stable calculating the derivatives of noisy functions.
Paper's Title:
Extreme Curvature of Polynomials and Level Sets
Author(s):
Stephanie P. Edwards, arah J. Jensen, Edward Niedermeyer, and Lindsay Willett
Department of Mathematics,
Hope College,
Holland, MI 49423,
U.S.A.
Email: sedwards@hope.edu
Email: tarahjaye@gmail.com
Email: eddie.niedermeyer@gmail.com
Email: willettlm1@gmail.com
WWW: http://math.hope.edu/sedwards/
Abstract:
Let f be a real polynomial of degree n. Determining the maximum number of zeros of kappa, the curvature of f, is an easy problem: since the zeros of kappa are the zeros of f'', the curvature of f is 0 at most n2 times. A much more intriguing problem is to determine the maximum number of relative extreme values for the function kappa. Since kappa'=0 at each extreme point of kappa, we are interested in the maximum number of zeros of kappa'. In 2004, the first author and R. Gordon showed that if all the zeros of f'' are real, then f has at most n1 points of extreme curvature. We use level curves and auxiliary functions to study the zeros of the derivatives of these functions. We provide a partial solution to this problem, showing that f has at most n1 points of extreme curvature, given certain geometrical conditions. The conjecture that f has at most n1 points of extreme curvature remains open.
Paper's Title:
Construction of a Frame Multiresolution Analysis on Locally Compact Abelian Groups
Author(s):
R. Kumar and Satyapriya
Department of Mathematics,
Kirori Mal College,
University of Delhi,
Delhi,
India.
Email: rajkmc@gmail.com
Department of Mathematics,
University of Delhi,
Delhi,
India.
Email: kmc.satyapriya@gmail.com
Abstract:
The frame multiresolution analysis (FMRA) on locally compact Abelian groups has been studied and the results concerning classical MRA have been worked upon to obtain new results. All the necessary conditions, which need to be imposed on the scaling function φ to construct a wavelet frame via FMRA, have been summed up. This process of construction of FMRA has aptly been illustrated by sufficient examples.
Paper's Title:
A Self Adaptive Method for Solving Split Bilevel Variational Inequalities Problem in Hilbert Spaces
Author(s):
Francis Akutsah^{1}, Ojen Kumar Narain^{2}, Funmilayo Abibat Kasali^{3} Olawale Kazeem Oyewole^{4} and Akindele Adebayo Mebawondu^{5}
^{1}School
of Mathematics,
Statistics and Computer Science,
University of KwaZuluNatal, Durban,
South Africa.
Email: 216040405@stu.ukzn.ac.za,
akutsah@gmail.com
^{2}School
of Mathematics,
Statistics and Computer Science,
University of KwaZuluNatal, Durban,
South Africa.
Email: naraino@ukzn.ac.za
^{3}Mountain Top University,
Prayer City, Ogun State,
Nigeria.
Email: fkasali@mtu.edu.ng
^{4}TechnionIsrael
Institute of Technology.
Email: 217079141@stu.ukzn.ac.za,
oyewoleolawalekazeem@gmail.co
^{5}School
of Mathematics,
Statistics and Computer Science,
University of KwaZuluNatal, Durban,
South Africa.
DSTNRF Centre of Excellence in Mathematical and Statistical Sciences (CoEMaSS),
Johannesburg,
South Africa.
Mountain Top University,
Prayer City, Ogun State,
Nigeria.
Email: dele@aims.ac.za
Abstract:
In this work, we study the split bilevel variational inequality problem in two real Hilbert spaces. We propose a new modified inertial projection and contraction method for solving the aforementioned problem when one of the operators is pseudomonotone and Lipschitz continuous while the other operator is αstrongly monotone. The use of the weakly sequential continuity condition on the Pseudomonotone operator is removed in this work. A Strong convergence theorem of the proposed method is proved under some mild conditions. In addition, some numerical experiments are presented to show the efficiency and implementation of our method in comparison with other methods in the literature in the framework of infinite dimensional Hilbert spaces. The results obtained in this paper extend, generalize and improve several.
Paper's Title:
Numerical Studies on Dynamical Systems Method for Solving Illposed Problems with Noise
Author(s):
N. H. Sweilam and A. M. Nagy
Mathematics Department, Faculty of Science,
Cairo University,
Giza, Egypt.
n_sweilam@yahoo.com
Mathematics Department, Faculty of Science,
Benha University,
Benha, Egypt.
abdelhameed_nagy@yahoo.com
Abstract:
In this paper, we apply the dynamical systems method proposed by A. G. RAMM, and the the variational regularization method to obtain numerical solution to some illposed problems with noise. The results obtained are compared to exact solutions. It is found that the dynamical systems method is preferable because it is easier to apply, highly stable, robust, and it always converges to the solution even for large size models.
Paper's Title:
On Segal's Quantum Option Pricing
Author(s):
Andreas Boukas
Department of Mathematics and Natural Sciences,
American College of Greece
Aghia Paraskevi 15342, Athens,
Greece.
andreasboukas@acgmail.gr
Abstract:
We apply the noncommutative extension of classical Itô stochastic calculus, known as quantum stochastic calculus, to the quantum BlackScholes model in the sense of Segal and Segal [4]. Explicit expressions for the best quantum option price and the associated optimal quantum portfolio are derived.
Paper's Title:
On the Numerical Solution for Deconvolution Problems with Noise
Author(s):
N. H. Sweilam
Cairo University, Faculty of Science, Mathematics Department,
Giza, Egypt.
nsweilam@yahoo.com
Abstract:
In this paper three different stable methods for solving numerically deconvolution problems with noise are studied. The methods examined are the variational regularization method, the dynamical systems method, and the iterative regularized processes. Gravity surveying problem with noise is studied as a model problem. The results obtained by these methods are compared to the exact solution for the model problem. It is found that these three methods are highly stable methods and always converge to the solution even for large size models. The relative higher accuracy is obtained by using the iterative regularized processes.
Paper's Title:
Equilibria and Periodic Solutions of Projected Dynamical Systems on Sets with Corners
Author(s):
Matthew D. Johnston and MonicaGabriela Cojocaru
Department of Applied Mathematics, University of Waterloo,
Ontario, Canada
mdjohnst@math.uwaterloo.ca
Department of Mathematics & Statistics, University of
Guelph,
Ontario, Canada
mcojocar@uoguelph.ca
Abstract:
Projected dynamical systems theory represents a bridge between the static worlds of variational inequalities and equilibrium problems, and the dynamic world of ordinary differential equations. A projected dynamical system (PDS) is given by the flow of a projected differential equation, an ordinary differential equation whose trajectories are restricted to a constraint set K. Projected differential equations are defined by discontinuous vector fields and so standard differential equations theory cannot apply. The formal study of PDS began in the 90's, although some results existed in the literature since the 70's. In this paper we present a novel result regarding existence of equilibria and periodic cycles of a finite dimensional PDS on constraint sets K, whose points satisfy a corner condition. The novelty is due to proving existence of boundary equilibria without using a variational inequality approach or monotonicity type conditions.
Paper's Title:
ANormal Operators In Semi Hilbertian Spaces
Author(s):
A. Saddi
Department of Mathematics,
College of Education for Girls in Sarat Ebeidah 61914, Abha,
King Khalid University
Saudi Arabia
adel.saddi@fsg.rnu.tn
Abstract:
In this paper we study some properties and inequalities of Anormal operators in semiHilbertian spaces by employing some known results for vectors in inner product spaces. We generalize also most of the inequalities of (α,β)normal operators discussed in Hilbert spaces [7].
Paper's Title:
A Multivalued Version of the RadonNikodym Theorem, via the Singlevalued Gould Integral
Author(s):
Domenico Candeloro^{1}, Anca Croitoru^{2}, Alina Gavriluţ^{2}, Anna Rita Sambucini^{1}
^{1}Dept. of Mathematics and Computer
Sciences,
University of Perugia,
1, Via Vanvitelli  06123, Perugia,
Italy.
Email: domenico.candeloro@unipg.it,
anna.sambucini@unipg.it
^{2}Faculty of Mathematics,
Al. I. Cuza University,
700506 Iaşi,
Romania.
Email: croitoru@uaic.ro,
gavrilut@uaic.ro
Abstract:
In this paper we consider a Gould type integral of real functions with respect to a compact and convex valued not necessarily additive measure. In particular we will introduce the concept of integrable multimeasure and, thanks to this notion, we will establish an exact RadonNikodym theorem relative to a fuzzy multisubmeasure which is new also in the finite dimensional case. Some results concerning the Gould integral are also obtained.
Paper's Title:
Cubic Alternating Harmonic Number Sums
Author(s):
Anthony Sofo
Victoria University,
College of Engineering and Science,
Melbourne City,
Australia.
Email:
Anthony.Sofo@vu.edu.au
Abstract:
We develop new closed form representations of sums of cubic alternating harmonic numbers and reciprocal binomial coefficients. We also identify a new integral representation for the ζ (4) constant.
Paper's Title:
Estimation for Bounded Solutions of Some Nonlinear Integral Inequalities with Delay in Several Variables
Author(s):
Smakdji Mohamed Elhadi, Denche Mouhamed and Khellaf Hassane
Department of Mathematics
University of Frčres Mentouri
PO Box 25000, Ain Elbay,
Constantine,
Algeria.
Email: khellafhassane@umc.edu.dz
Abstract:
In this paper, some new nonlinear retarded integral inequalities of GronwallBellman type for functions of two and nindependents variables are investigated. The derived results can be applied in the study of differentialintegral equations with time delay. An example is given to illustrate the application of our results.
Paper's Title:
Viability
Theory And Differential Lanchester Type Models For Combat.
Differential Systems.
Author(s):
G. Isac and A. Gosselin
Department Of
Mathematics, Royal Military College Of Canada,
P.O. Box 17000, Stn Forces, Kingston,
Ontario, Canada K7k 7b4
isacg@rmc.ca
gosselina@rmc.ca
URL:
http://www.rmc.ca/academic/math_cs/isac/index_e.html
URL:
http://www.rmc.ca/academic/math_cs/gosselin/index_e.html
Abstract:
In 1914, F.W. Lanchester proposed several mathematical models based on differential equations to describe combat situations [34]. Since then, his work has been extensively modified to represent a variety of competitions including entire wars. Differential Lanchester type models have been studied from many angles by many authors in hundreds of papers and reports. Lanchester type models are used in the planning of optimal strategies, supply and tactics. In this paper, we will show how these models can be studied from a viability theory stand point. We will introduce the notion of winning cone and show that it is a viable cone for these models. In the last part of our paper we will use the viability theory of differential equations to study Lanchester type models from the optimal theory point of view.
Paper's Title:
Norm Estimates for the Difference between Bochner’s Integral and the Convex Combination of Function’s Values
Author(s):
P. Cerone, Y.J. Cho, S.S. Dragomir, J.K. Kim, and S.S. Kim
School of
Computer Science and Mathematics,
Victoria University of Technology,
Po Box 14428, Mcmc 8001, Victoria, Australia.
pietro.cerone@vu.edu.au
URL:
http://rgmia.vu.edu.au/cerone/index.html
Department of
Mathematics Education, College of Education,
Gyeongsang National University, Chinju 660701, Korea
yjcho@nongae.gsnu.ac.kr
School of
Computer Science and Mathematics,
Victoria University of Technology,
Po Box 14428, Mcmc 8001, Victoria, Australia.
sever.dragomir@vu.edu.au
URL:
http://rgmia.vu.edu.au/SSDragomirWeb.html
Department of
Mathematics, Kyungnam University,
Masan,, Kyungnam 631701, Korea
jongkyuk@kyungnam.ac.kr
Department of
Mathematics, Dongeui University,
Pusan 614714, Korea
sskim@dongeui.ac.kr
Abstract:
Norm estimates are developed between the Bochner integral of a vectorvalued function in Banach spaces having the RadonNikodym property and the convex combination of function values taken on a division of the interval [a, b].
Paper's Title:
Shape Diagrams for 2D Compact Sets  Part I: Analytic Convex Sets.
Author(s):
S. Rivollier, J. Debayle and J.C. Pinoli
Ecole Nationale Supérieure des Mines de SaintEtienne,
CIS  LPMG, UMR CNRS 5148, 158 cours Fauriel,
42023 SaintEtienne Cedex 2, France.
rivollier@emse.fr;
debayle@emse.fr; pinoli@emse.fr
Abstract:
Shape diagrams are representations in the Euclidean plane introduced to study 3dimensional and 2dimensional compact convex sets. Such a set is represented by a point within a shape diagram whose coordinates are morphometrical functionals defined as normalized ratios of geometrical functionals. Classically, the geometrical functionals are the area, the perimeter, the radii of the inscribed and circumscribed circles, and the minimum and maximum Feret diameters. They allow thirtyone shape diagrams to be built. Most of these shape diagrams can also been applied to more general compact sets than compact convex sets. Starting from these six classical geometrical functionals, a detailed comparative study has been performed in order to analyze the representation relevance and discrimination power of these thirtyone shape diagrams. The purpose of this paper is to present the first part of this study, by focusing on analytic compact convex sets. A set will be called analytic if its boundary is piecewise defined by explicit functions in such a way that the six geometrical functionals can be straightforwardly calculated. The second and third part of the comparative study are published in two following papers [19.20]. They are focused on analytic simply connected sets and convexity discrimination for analytic and discretized simply connected sets, respectively.
Paper's Title:
Hyperbolic Models Arising in the Theory of Longitudinal Vibration of Elastic Bars
Author(s):
^{1}I. Fedotov, ^{1}J. Marais, ^{1,2}M. Shatalov and ^{1}H.M. Tenkam
^{1}Department of Mathematics and Statistics,
Tshwane University
of
Technology
Private Bag X6680, Pretoria 0001
South Africa.
fedotovi@tut.ac.za,
julian.marais@gmail.com,
djouosseutenkamhm@tut.ac.za.
^{2}Manufacturing and
Materials
Council of Scientific and Industrial
Research (CSIR)
P.O. Box 395, Pretoria, 0001
South Africa.
mshatlov@csir.co.za
Abstract:
In this paper a unified approach to the
derivation of families of one
dimensional hyperbolic differential equations and boundary conditions describing
the longitudinal vibration of elastic bars is outlined. The longitudinal and
lateral displacements are expressed in the form of a power series expansion in
the lateral coordinate. Equations of motion and boundary conditions are derived
using Hamilton's variational principle. Most of the well known models in this
field fall within the frames of the proposed theory, including the classical
model, and the more elaborated models proposed by by Rayleigh, Love, Bishop,
Mindlin, Herrmann and McNiven. The exact solution is presented for the
MindlinHerrmann case in terms of Green functions. Finally, deductions regarding
the accuracy of the models are made by comparison with the exact
PochhammerChree solution for an isotropic cylinder.
Paper's Title:
Generalizing Polyhedra to Infinite Dimension
Author(s):
Paolo d'Alessandro
Department of Mathematics, Third University of Rome,
Lgo S.L. Murialdo 1, 00146 Rome, Italy.
URL:
http://www.mat.uniroma3.it/users/dalex/dalex.html.
Abstract:
This paper generalizes polyhedra to infinite dimensional Hilbert spaces as countable intersections of closed semispaces. Highlights are the structure theory that shows that a polyhedron is the sum of compact set (in a suitable topology) plus a closed pointed cone plus a closed subspace, giving the internal representation of polyhedra. In the final part the dual range space technique is extended to the solution of infinite dimensional LP problems.
Paper's Title:
Euler Series Solutions for Linear Integral Equations
Author(s):
Mostefa Nadir and Mustapha Dilmi
Department of Mathematics,
University of Msila 28000,
ALGERIA.
Email: mostefanadir@yahoo.fr
Email: dilmiistapha@yahoo.fr
Abstract:
In this work, we seek the approximate solution of linear integral equations by truncation Euler series approximation. After substituting the Euler expansions for the given functions of the equation and the unknown one, the equation reduces to a linear system, the solution of this latter gives the Euler coefficients and thereafter the solution of the equation. The convergence and the error analysis of this method are discussed. Finally, we compare our numerical results by others.
Paper's Title:
On Statistically ΦConvergence
Author(s):
Supama
Department of Mathematics,
Gadjah Mada
University,
Yogyakarta 55281,
Indonesia.
Email: supama@ugm.ac.id
Abstract:
The idea of statistical convergence was introduced by Antoni Zygmund in 1935. Based on in the idea of Zygmund, Henry Fast and Hugo Steinhaus independently introduced a concept of statistical convergence as a generalization of an ordinary convergence in the same year 1951. In this paper, by using the Orlicz function, we introduce a concept of statistical Φconvergence, as a generalization of the statistical convergence. Further, we observe some basic properties and some topological properties of the statistical Φconvergent sequences
Paper's Title:
Two Further Methods for Deriving Four Results Contiguous to Kummer's Second Theorem
Author(s):
I. Kim and J. Kim
Department of Mathematics Education,
Wonkwang University,
Iksan, 570749,
Korea.
Email: iki@wku.ac.kr
Department of Mathematics Education,
Wonkwang University,
Iksan, 570749,
Korea.
Email: joohyung@wku.ac.kr
Abstract:
In the theory of generalized hypergeometric function, transformation and summation formulas play a key role. In particular, in one of the Kummer's transformation formulas, Kim, et al. in 2012, have obtained ten contiguous results in the form of a single result with the help of generalization of Gauss's second summation theorem obtained earlier by Lavoie, et al.. In this paper, we aim at presenting four of such results by the technique of contiguous function relations and integral method developed by MacRobert.
Paper's Title:
Topological Aspects of Scalarization in Vector Optimization Problems.
Author(s):
Peter I. Kogut, Rosanna Manzo and Igor V. Nechay
Department of Differential Equations,
Dnipropetrovsk National University, Naukova
STR.,
13,
49010 Dnipropetrovsk,
Ukraine
p.kogut@i.ua
Universitŕ di Salerno,
Dipartimento di Ingegneria dell'Informazione e Matematica Applicata,
Via Ponte don Melillo, 84084 Fisciano (SA),
Italy
manzo@diima.unisa.it
Department of Technical Cybernetics,
Dnipropetrovsk Technical University,
Acad. Lazarjan
STR., 2,
49010 Dnipropetrovsk,
Ukraine
i.nechay@i.ua
Abstract:
In this paper, we study vector optimization problems in partially ordered Banach spaces. We suppose that the objective mapping possesses a weakened property of lower semicontinuity and make no assumptions on the interior of the ordering cone. We derive sufficient conditions for existence of efficient solutions of the above problems and discuss the role of topological properties of the objective space. We discuss the scalarization of vector optimization problems when the objective functions are vectorvalued mappings with a weakened property of lower semicontinuity. We also prove the existence of the socalled generalized efficient solutions via the scalarization process. All principal notions and assertions are illustrated by numerous examples.
Paper's Title:
Shape Diagrams for 2D Compact Sets  Part II: Analytic Simply Connected Sets.
Author(s):
S. Rivollier, J. Debayle and J.C. Pinoli
Ecole Nationale Supérieure des Mines de SaintEtienne,
CIS  LPMG, UMR CNRS 5148, 158 cours Fauriel,
42023 SaintEtienne Cedex 2, France.
rivollier@emse.fr;
debayle@emse.fr; pinoli@emse.fr
Abstract:
Shape diagrams are representations in the Euclidean plane introduced to study 3dimensional and 2dimensional compact convex sets. However, they can also been applied to more general compact sets than compact convex sets. A compact set is represented by a point within a shape diagram whose coordinates are morphometrical functionals defined as normalized ratios of geometrical functionals. Classically, the geometrical functionals are the area, the perimeter, the radii of the inscribed and circumscribed circles, and the minimum and maximum Feret diameters. They allow twentytwo shape diagrams to be built. Starting from these six classical geometrical functionals, a detailed comparative study has been performed in order to analyze the representation relevance and discrimination power of these twentytwo shape diagrams. The first part of this study is published in a previous paper 16. It focused on analytic compact convex sets. A set will be called analytic if its boundary is piecewise defined by explicit functions in such a way that the six geometrical functionals can be straightforwardly calculated. The purpose of this paper is to present the second part, by focusing on analytic simply connected compact sets. The third part of the comparative study is published in a following paper 17. It is focused on convexity discrimination for analytic and discretized simply connected compact sets.
Paper's Title:
A Note On The Global Behavior Of A Nonlinear System of Difference Equations
Author(s):
Norman H. Josephy, Mihaela Predescu and Samuel W. Woolford
Department of Mathematical Sciences,
Bentley University,
Waltham, MA 02452,
U.S.A.
mpredescu@bentley.edu
njosephy@bentley.edu
swoolford@bentley.edu
Abstract:
This paper deals with the global asymptotic stability character of solutions of a discrete time deterministic model proposed by Wikan and Eide in Bulletin of Mathematical Biology, 66, 2004, 16851704. A stochastic extension of this model is proposed and discussed. Computer simulations suggest that the dynamics of the stochastic model includes a mixture of the dynamics observed in the deterministic model.
Paper's Title:
Positive Solutions to a System of Boundary Value Problems for HigherDimensional Dynamic Equations on Time Scales
Author(s):
I. Y. Karaca
Department of Mathematics,
Ege University,
35100 Bornova, Izmir,
Turkey
URL:
http://ege.edu.tr
Abstract:
In this paper, we consider the system of boundary value problems for higherdimensional dynamic equations on time scales. We establish criteria for the existence of at least one or two positive solutions. We shall also obtain criteria which lead to nonexistence of positive solutions. Examples applying our results are also given.
Paper's Title:
Numerical Solution of A System of Singularly Perturbed ConvectionDiffusion BoundaryValue Problems Using Mesh Equidistribution Technique
Author(s):
Pratibhamoy Das and Srinivasan Natesan
Department of Mathematics,
Indian Institute of Technology Guwahati,
Guwahati  781 039,
India.
pratibhamoy@gmail.com
natesan@iitg.ernet.in
URL:
http://www.iitg.ernet.in/natesan/
Abstract:
In this article, we consider a system of singularly perturbed weakly coupled convectiondiffusion equations having diffusion parameters of different magnitudes. These small parameters give rise to boundary layers. An upwind finite difference scheme on adaptively generated mesh is used to obtain a suitable monitor function that gives firstorder convergence which is robust with respect to the diffusion parameters. We present the results of numerical experiments for linear and semilinear system of differential equations to support the effectiveness of our preferred monitor function obtained from theoretical analysis.
Paper's Title:
A Generalization of Ostrowski's Inequality for Functions of Bounded Variation via a Parameter
Author(s):
Seth Kermausuor
Department of Mathematics and Computer
Science,
Alabama State University,
Montgomery, AL 36101,
USA.
Email:
skermausour@alasu.edu
Abstract:
In this paper, we provide a generalization of the Ostrowski's inequality for functions of bounded variation for k points via a parameter λ∈[0,1]. As a by product, we consider some particular cases to obtained some interesting inequalities in these directions. Our results generalizes some of the results by Dragomir in [S. S. DRAGOMIR, The Ostrowski inequality for mappings of bounded variation, Bull. Austral. Math. Soc., 60 (1999), pp. 495508.]
Paper's Title:
Nonlinear System of Mixed Ordered Variational Inclusions Involving XOR Operation
Author(s):
Iqbal Ahmad, Abdullah and Syed Shakaib Irfan
Department of Mechanical Engineering,
College of Engineering, Qassim University
Buraidah 51452, AlQassim,
Saudi Arabia.
Email: iqbal@qec.edu.sa,
i.ahmad@qu.edu.sa
Zakir Husain Delhi College,
University of Delhi,
JLN Marg, New Delhi 110 002,
India.
Email: abdullahdu@qec.edu.sa
Department of Mathematics,
Aligarh Muslim University, Aligarh,
India.
Email: shakaibirfan@gmail.com
Abstract:
In this work, we introduce and solve an NSMOVI frameworks system involving XOR operation with the help of a proposed iterative algorithm in real ordered positive Hilbert spaces. We discuss the existence of a solution of a considered system of inclusions involving XOR operation by applying the resolvent operator technique with XOR operation and also study the strong convergence of the sequences generated by the considered algorithm. Further, we give a numerical example in support of our considered problem which gives the grantee that all the proposed conditions of our main result are fulfilled.
Paper's Title:
A New Method with Regularization for Solving Split Variational Inequality Problems in Real Hilbert Spaces
Author(s):
Francis Akutsah^{1} and Ojen Kumar Narain^{2}
^{1}School
of Mathematics,
Statistics and Computer Science,
University of KwaZuluNatal, Durban,
South Africa.
Email: 216040405@stu.ukzn.ac.za,
akutsah@gmail.com
^{2}School
of Mathematics,
Statistics and Computer Science,
University of KwaZuluNatal, Durban,
South Africa.
Email: naraino@ukzn.ac.za
Abstract:
In this paper, we introduce a new inertial extrapolation method with regularization for approximating solutions of split variational inequality problems in the frame work of real Hilbert spaces. We prove that the proposed method converges strongly to a minimumnorm solution of the problem without using the conventional two cases approach. In addition, we present some numerical experiments to show the efficiency and applicability of the proposed method. The results obtained in this paper extend, generalize and improve several results in this direction.
Paper's Title:
A Review on Minimally Supported Frequency Wavelets
Author(s):
K Pallavi^{1}, M C Lineesh^{1}, A Noufal^{2}
^{1}Department of
Mathematics,
National Institute of Technology Calicut,
Kerala 673601,
India.
Email:
pavikrishnakumar@gmail.com
lineesh@nitc.ac.in
^{2}Department of Mathematics,
Cochin University of Science and Technology,
Kerala 682022,
India.
Email: noufal@cusat.ac.in
Abstract:
This paper provides a review on Minimally Supported Frequency (MSF) wavelets that includes the construction and characterization of MSF wavelets. The characterization of MSF wavelets induced from an MRA is discussed and the nature of the lowpass filter associated with it is explained. The concept of wavelet set and dimension function is introduced to study this class of wavelets. Along with MSF wavelets, selementary wavelets and unimodular wavelets are also considered due to the similarity in definitions. Examples and illustrations are provided for more clarity.
Paper's Title:
High Order Collocation Method for the Generalized KuramotoSivashinsky Equation
Author(s):
Zanele Mkhize, Nabendra Parumasur and Pravin Singh
School of Mathematics, Statistics and
Computer Sciences,
University of KwaZuluNatal,
Private Bag X 54001,
Durban 4000.
Email: mkhizez2@ukzn.ac.za
parumasurn1@ukzn.ac.za
singhp@ukzn.ac.za
URL: https://www.ukzn.ac.za
Abstract:
In this paper, we derive the heptic Hermite basis functions and use them as basis functions in the orthogonal collocation on finite elements (OCFE) method. We apply the method to solve the generalized KuramotoSivashinsky equation. Various numerical simulations are presented to justify the computational efficiency of the proposed method.
Paper's Title:
On the product of Mmeasures in lgroups
Author(s):
A. Boccuto, B. Riěcan, and A. R. Sambucini
Dipartimento di Matematica e Informatica,
via Vanvitelli, 1 I06123 Perugia,
Italy.
boccuto@dipmat.unipg.it
URL:
http://www.dipmat.unipg.it/~boccuto
Katedra Matematiky, Fakulta Prírodných Vied,
Univerzita Mateja Bela,
Tajovského, 40, Sk97401 Banská Bystrica,
Slovakia.
riecan@fpv.umb.sk
Dipartimento di Matematica e Informatica,
via Vanvitelli, 1 I06123 Perugia,
Italy.
matears1@unipg.it
URL:
http://www.unipg.it/~matears1
Abstract:
Some extensiontype theorems and compactness
properties for the
product of lgroupvalued Mmeasures are proved.
Paper's Title:
Shape Diagrams for 2D Compact Sets  Part III: Convexity Discrimination for Analytic and Discretized Simply Connected Sets.
Author(s):
S. Rivollier, J. Debayle and J.C. Pinoli
Ecole Nationale Supérieure des Mines de SaintEtienne,
CIS  LPMG, UMR CNRS
5148,
158 cours Fauriel,
42023 SaintEtienne Cedex 2, France.
rivollier@emse.fr;
debayle@emse.fr; pinoli@emse.fr
Abstract:
Shape diagrams are representations in the Euclidean plane introduced to study 3dimensional and 2dimensional compact convex sets. However, they can also been applied to more general compact sets than compact convex sets. A compact set is represented by a point within a shape diagram whose coordinates are morphometrical functionals defined as normalized ratios of geometrical functionals. Classically, the geometrical functionals are the area, the perimeter, the radii of the inscribed and circumscribed circles, and the minimum and maximum Feret diameters. They allow twentytwo shape diagrams to be built. Starting from these six classical geometrical functionals, a detailed comparative study has been performed in order to analyze the representation relevance and discrimination power of these twentytwo shape diagrams. The two first parts of this study are published in previous papers 8,9. They focus on analytic compact convex sets and analytic simply connected compact sets, respectively. The purpose of this paper is to present the third part, by focusing on the convexity discrimination for analytic and discretized simply connected compact sets..
Paper's Title:
Subordination Results Associated with Hadamard Product
Author(s):
S. Sivasubramanian, C. Ramachandran and B. A. Frasin
Department of Mathematics,
University College of Engineering,
Anna University,
Saram604 307,
India
Department of Mathematics,
University College of Engineering,
Anna University,
Villupuram,
India
Department of Mathematics,
Al alBayt University,
P.O. Box: 130095 Mafraq,
Jordan
Abstract:
In the present investigation, we consider an unified class of functions of complex order using Hadamard's convolution. We obtain a necessary and sufficient condition for functions to be in these classes.
Paper's Title:
Existence Results for Second Order Impulsive Functional Differential Equations with Infinite Delay
Author(s):
M. Lakrib, A. Oumansour and K. Yadi
Laboratoire de Mathématiques, Université Djillali
Liabées, B.P. 89 Sidi Bel Abbčs 22000, Algérie
mlakrib@univsba.dz
oumansour@univsba.dz
Laboratoire de Mathématiques, Université Abou Bekr
Belkaid, B.P. 119 Tlemcen 13000, Algérie
k_yadi@mail.univtlemcen.dz
Abstract:
In this paper we study the existence of solutions for second order impulsive functional differential equations with infinite delay. To obtain our results, we apply fixed point methods.
Paper's Title:
Examples of Fractals Satisfying the Quasihyperbolic Boundary Condition
Author(s):
Petteri Harjulehto and Riku Klén
Department of Mathematics and Statistics,
FI20014 University of Turku,
Finland
Email: petteri.harjulehto@utu.fi
Email: riku.klen@utu.fi
Abstract:
In this paper we give explicit examples of bounded domains that satisfy the quasihyperbolic boundary condition and calculate the values for the constants. These domains are also John domains and we calculate John constants as well. The authors do not know any other paper where exact values of parameters has been estimated.
Paper's Title:
Characterization of Caristi Type Mapping Through its Absolute Derivative
Author(s):
M. Muslikh^{1}, A. Kilicman^{2,3}, S. H. Sapar^{4} and N. Bacho^{5}
^{1}Department of Mathematics,
University of Brawijaya,
Malang 65143, East Java,
Indonesia.
Email: mslk@ub.ac.id
^{2}Department of Mathematics,
Universiti Putra Malaysia,
43400 UPM, Serdang, Selangor,
Malaysia
Email: akilic@upm.edu.my
^{3}Department of Electrical and Electronic Engineering,
Istanbul Gelisim University,
Avcilar, Istanbul,
Turkey
^{4}Department of Mathematics,
Universiti Putra Malaysia,
43400 UPM, Serdang, Selangor,
Malaysia
Email: sitihas@upm.edu.my
^{5}Department of Mathematics,
Universiti Putra Malaysia,
43400 UPM, Serdang, Selangor,
Malaysia
Email: norfifah@upm.edu.my
Abstract:
The purpose of this article to characterize the Caristi type mapping by the absolute derivative. The equivalences of the Caristi mapping with contraction mapping is discussed too. In addition, it was shown that the contraction mapping can be tested through its absolute derivative.
Paper's Title:
Simplicial (co)homology of Band Semigroup
Author(s):
Yasser Farhat
Academic Support Department,
Abu Dhabi Polytechnic,
P.O. Box 111499, Abu Dhabi,
UAE.
Email: yasser.farhat@adpoly.ac.ae, farhat.yasser.1@gmail.com
Abstract:
We consider the Banach algebra l^{1}(S), with convolution, where S is a band semigroup. We prove directly, without using the cyclic cohomology, that the simplicial cohomology groups H^{n}(l^{1}(S), l^{1}(S)^{*}) vanish for all n≥1. This proceeds in three steps. In each step, we introduce a bounded linear map. By iteration in each step, we achieve our goal.
Paper's Title:
Asymptotic Behavior of Mixed Type Functional Equations
Author(s):
J. M. Rassias
Pedagogical Department, E.E., National and
Capodistrian University of Athens, Section of Mathematics And Informatics, 4, Agamemnonos
Str., Aghia Paraskevi, Athens 15342,Greece
jrassias@primedu.uoa.gr
URL:
http://www.primedu.uoa.gr/~jrassias/
Abstract:
In 1983 Skof [24] was the first author to solve the Ulam problem for additive mappings on a restricted domain. In 1998 Jung [14] investigated the HyersUlam stability of additive and quadratic mappings on restricted domains. In this paper we improve the bounds and thus the results obtained by Jung [14], in 1998 and by the author [21], in 2002. Besides we establish new theorems about the Ulam stability of mixed type functional equations on restricted domains. Finally, we apply our recent results to the asymptotic behavior of functional equations of different types.
Paper's Title:
A general theory of decision making
Author(s):
Frank Hansen
Department of Economics,
University of Copenhagen,
Studiestraede 6, DK1455 Copenhagen K
Denmark
Frank.Hansen@econ.ku.dk
URL: http://www.econ.ku.dk/okofh
Abstract:
We formulate a general theory of decision making based on a lattice of observable events, and we exhibit a large class of representations called the general model. Some of the representations are equivalent to the so called standard model in which observable events are modelled by an algebra of measurable subsets of a state space, while others are not compatible with such a description. We show that the general model collapses to the standard model, if and only if an additional axiom is satisfied. We argue that this axiom is not very natural and thus assert that the standard model may not be general enough to model all relevant phenomena in economics. Using the general model we are (as opposed to Schmeidler [16]) able to rationalize Ellsberg's paradox without the introduction of nonadditive measures.
Paper's Title:
Notes on Sakaguchi Functions
Author(s):
Shigeyoshi Owa, Tadayuki Sekine and Rikuo Yamakawa
Department of Mathematics, Kinki University,
HigashiOsaka, Osaka 5778502,
Japan.
owa@math.kindai.ac.jp
Office of Mathematics, College of Pharmacy, Nihon University,
71 Narashinodai, Funabashicity,
Chiba, 2748555, Japan.
tsekine@pha.nihonu.ac.jp
Department of Mathematics, Shibaura Institute of Technology,
Minuma, Saitamacity,
Saitama 3378570, Japan.
yamakawa@sic.shibaurait.ac.jp
Abstract:
By using the definition for certain univalent functions f(z) in the open unit disk U given by K. Sakaguchi [2], two classes S(α) and T(α) of analytic functions in U are introduced. The object of the present paper is to discuss some properties of functions f(z) belonging to the classes S(α) and T(α).
Paper's Title:
Analysis of the Flow Field in Stenosed Bifurcated Arteries Through a Mathematical Model
Author(s):
S. Chakravarty and S. Sen
Department of Mathematics, VisvaBharati University,
Santiniketan 731235,
India
santabrata2004@yahoo.co.in
Abstract:
The present study is dealt with an appropriate mathematical model of the arotic bifurcation in the presence of constrictions using which the physiological flow field is analized. The geometry of the bifurcated arterial segment having constrictions in both the parent and its daughter arterial lumen frequently occurring in the diseased arteries causing malfunction of the cardiovascular system , is formed mathematically with the introduction of appropriate curvatures at the lateral junctions and the flow divider. The flowing blood contained in the stenosed bifurcated artery is treated to be Newtonian and the flow is considered to be two dimensional. The motion of the arterial wall and its effect on local fluid mechanics is not ruled out from the present pursuit. The flow analysis applies the timedependent, twodimensional incompressible nonlinear NavierStokes equations for Newtonian fluid. The flow field can be obtained primarily following the radial coordinate transformation and using the appropriate boundary conditions and finally adopting a suitable finite difference scheme numerically. The influences of the arterial wall distensibility and the presence of stenosis on the flow field, the flow rate and the wall shear stresses are quantified in order to indicate the susceptibility to atherosclerotic lesions and thereby to validate the applicability of the present theoretical model.
Paper's Title:
Coincidences and Fixed Points of Hybrid Maps in Symmetric Spaces
Author(s):
S. L. Singh and Bhagwati Prasad
Vedic MRI, 21 Govind Nagar,
Rishikesh 249201
India
vedicmri@gmail.com
Department of Mathematics, Gurukula Kangri University,
Hardwar 249404,
India
Abstract:
The purpose of this paper is to obtain a new coincidence theorem for a singlevalued and two multivalued operators in symmetric spaces. We derive fixed point theorems and discuss some special cases and applications.
Paper's Title:
Reconstruction of Discontinuities of Functions Given Noisy Data
Author(s):
Eric D. Mbakop
67A Beaver Park Rd,
Framingham, MA, 01702,
U. S. A.
ericsteve86@yahoo.fr
Abstract:
Suppose one is given noisy data of a discontinuous piecewisesmooth function along with a bound on its second derivative. The locations of the points of discontinuity of f and their jump sizes are not assumed known, but are instead retrieved stably from the noisy data. The novelty of this paper is a numerical method that allows one to locate some of these points of discontinuity with an accuracy that can be made arbitrarily small.
Paper's Title:
Existence of Solutions for Third Order Nonlinear Boundary Value Problems
Author(s):
Yue Hu and Zuodong Yang
School of Mathematics and Computer Science, Nanjing Normal University, Jiangsu Nanjing 210097,
China.
huu3y2@163.com
College of Zhongbei, Nanjing Normal University, Jiangsu Nanjing 210046,
China.
zdyang_jin@263.net
yangzuodong@njnu.edu.cn
Abstract:
In this paper, the existence of solution for a class of third order quasilinear ordinary differential equations with nonlinear boundary value problems
(Φ_{p}(u"))'=f(t,u,u',u"), u(0)=A, u'(0)=B, R(u'(1),u"(1))=0
is established. The results are obtained by using upper and lower solution methods.
Paper's Title:
On Sandwich Theorems for Certain Subclass of Analytic Functions Involving DziokSrivastava Operator
Author(s):
T. N. Shanmugam, M. P. Jeyarama and A. Singaravelu
Department of Mathematics
College of Engineering, Anna University
Chennai  600 025,
India
drtns2001@yahoo.com
Department of Mathematics
Easwari Engineering College
Ramapuram, Chennai  600089
Tamilnadu, India
jeyaramanmp@yahoo.co.i
Department of Mathematics
Valliammai Engineering College
Chennai  603203
Tamilnadu, India.
asing59@yahoo.com
Abstract:
The purpose of this present paper is to derive some subordination and superordination results for certain normalized analytic functions in the open unit disk, acted upon by DziokSrivastava operator. Relevant connections of the results, which are presented in this paper, with various known results are also considered.
Paper's Title:
Positive Periodic Solutions for SecondOrder Differential Equations with Generalized Neutral Operator
Author(s):
WingSum Cheung, Jingli Ren and Weiwei Han
Department of Mathematics,
The University of Hong Kong
Pokfulam
Road,
Hong Kong
Department of Mathematics, Zhengzhou University
Zhengzhou 450001,
P.R. China
wscheung@hkucc.hku.hk
renjl@zzu.edu.cn
Abstract:
By some analysis of the neutral operator and an application of the fixedpoint index theorem, we obtain sufficient conditions for the existence, multiplicity and nonexistence of periodic solutions to a secondorder differential equation with the prescribed neutral operator, which improve and extend some recent results of LuGe, WuWang, and Zhang. An example is given to illustrate our results. Moreover, the analysis of the generalized neutral operator will be helpful for other types of differential equations.
Paper's Title:
An Improved Mesh Independence Principle for Solving Equations and their Discretizations using Newton's Method
Author(s):
Ioannis K. Argyros
Cameron university,
Department of Mathematics Sciences,
Lawton, OK 73505,
USA
iargyros@cameron.edu
Abstract:
We improve the mesh independence principle [1] which states that when Newton's method is applied to an equation on a Banach space as well as to their finitedimensional discretization there is a difference of at most one between the number of steps required by the two processes to converge to within a given error tolerance. Here using a combination of Lipschitz and center Lipschitz continuity assumptions instead of just Lipschitz conditions we show that the minimum number of steps required can be at least as small as in earlier works. Some numerical examples are provided whereas our results compare favorably with earlier ones.
Paper's Title:
Inclusion and Neighborhood Properties for Certain Subclasses of Analytic Functions Associated with Convolution Structure
Author(s):
M. K. Aouf
Mathematics Department,
Faculty of Science,
Mansoura University 35516,
Egypt.
mkaouf127@yahoo.com
Abstract:
In this paper we introduce and investigate two new subclasses of multivalently analytic functions of complex order defined by using the familiar convolution structure of analytic functions. In this paper we obtain the coefficient estimates and the consequent inclusion relationships involving the neighborhoods of the pvalently analytic functions.
Paper's Title:
Parachaotic Tuples of Operators
Author(s):
Bahmann Yousefi and Javad Izadi
Department of Mathematics,
Payame Noor University,
P.O. Box 193953697, Tehran,
Iran
b_yousefi@pnu.ac.ir
javadie2003@yahoo.com
Abstract:
In this paper, we introduce parachaotic tuples of operators and we give some relations between parachaoticity and Hypercyclicity Criterion for a tuple of operators.
Paper's Title:
Certain Compact Generalizations of WellKnown Polynomial Inequalities
Author(s):
N. A. Rather and Suhail Gulzar
Department of Mathematics,
University of Kashmir, Hazratbal Srinagar190006,
India.
Abstract:
In this paper, certain sharp compact generalizations of wellknown Bernstientype inequalities for polynomials, from which a variety of interesting results follow as special cases, are obtained.
Paper's Title:
Application of Equivalence Method to Classify MongeAmpčre Equations of Elliptic Type
Author(s):
Moheddine Imsatfia
Email: imsatfia@math.jussieu.fr
Abstract:
In this paper, we apply Cartan's equivalence method to give a local classification of MongeAmpčre equations of elliptic type. Then we find a necessary and sufficient conditions such that a MongeAmpčre equation is either contactomorphic to the Laplace equation or to an EulerLagrange equation.
Paper's Title:
Weak solutions of non coercive stochastic NavierStokes equations in R^{2}
Author(s):
Wilhelm Stannat and Satoshi Yokoyama
Technische Universität Berlin,
Strasse des 17. Juni 136, 10623 Berlin,
Germany.
Graduate School of Mathematical Sciences,
The University of Tokyo,
Komaba, Tokyo 1538914,
Japan.
Email: stannat@math.tuberlin.de
Email: satoshi2@ms.utokyo.ac.jp
Abstract:
We prove existence of weak solutions of stochastic NavierStokes equations in R^{2} which do not satisfy the coercivity condition. The equations are formally derived from the critical point of some variational problem defined on the space of volume preserving diffeomorphisms in R^{2}. Since the domain of our equation is unbounded, it is more difficult to get tightness of approximating sequences of solutions in comparison with the case of a bounded domain. Our approach is based on uniform a priori estimates on the enstrophy of weak solutions of the stochastic 2DNavierStokes equations with periodic boundary conditions, where the periodicity is growing to infinity combined with a suitable spatial cutofftechnique.
Paper's Title:
Mapped Chebyshev Spectral Methods for Solving Second Kind Integral Equations on the Real Line
Author(s):
Ahmed Guechi and Azedine Rahmoune
Department of Mathematics, University of Bordj Bou Arréridj,
El Anasser, 34030, BBA,
Algeria.
Email: a.guechi2017@gmail.com
Email: a.rahmoune@univbba.dz
Abstract:
In this paper we investigate the utility of mappings to solve numerically an important class of integral equations on the real line. The main idea is to map the infinite interval to a finite one and use Chebyshev spectralcollocation method to solve the mapped integral equation in the finite interval. Numerical examples are presented to illustrate the accuracy of the method.
Paper's Title:
On a New Class of Eulerian's Type Integrals Involving Generalized Hypergeometric Functions
Author(s):
Sungtae Jun, Insuk Kim and Arjun K. Rathie
General Education Institute,
Konkuk University, Chungju 380701,
Republic of Korea.
Department of Mathematics Education,
Wonkwang University, Iksan, 570749,
Republic of Korea.
Department of Mathematics,
Vedant College of Engineering and Technology (Rajasthan Technical University),
Bundi323021, Rajasthan,
India.
Email: sjun@kku.ac.kr, iki@wku.ac.kr, arjunkumarrathie@gmail.com
Abstract:
Very recently MasjedJamei and Koepf established interesting and useful generalizations of various classical summation theorems for the _{2}F_{1}, _{3}F_{2}, _{4}F_{3}, _{5}F_{4} and _{6}F_{5} generalized hypergeometric series. The main aim of this paper is to establish eleven Eulerian's type integrals involving generalized hypergeometric functions by employing these theorems. Several special cases have also been given.
Paper's Title:
Solving Two Point Boundary Value Problems by Modified Sumudu Transform Homotopy Perturbation Method
Author(s):
Asem AL Nemrat and Zarita Zainuddin
School of Mathematical Sciences,
Universiti Sains Malaysia,
11800 Penang,
Malaysia.
Email: alnemrata@yahoo.com
zarita@usm.my
Abstract:
This paper considers a combined form of the Sumudu transform with the modified homotopy perturbation method (MHPM) to find approximate and analytical solutions for nonlinear two point boundary value problems. This method is called the modified Sumudu transform homotopy perturbation method (MSTHPM). The suggested technique avoids the roundoff errors and finds the solution without any restrictive assumptions or discretization. We will introduce an appropriate initial approximation and furthermore, the residual error will be canceled in some points of the interval (RECP). Only a first order approximation of MSTHPM will be required, as compared to STHPM, which needs more iterations for the same cases of study. After comparing figures between approximate, MSTHPM, STHPM and numerical solutions, it is found through the solutions we have obtained that they are highly accurate, indicating that the MSTHPM is very effective, simple and can be used to solve other types of nonlinear boundary value problems (BVPs).
Paper's Title:
Kinematic Model for Magnetic Nullpoints in 2 Dimensions
Author(s):
Ali Khalaf Hussain AlHachami
Department of Mathematics,
College of Education For Pure Sciences,
Wasit University,
Iraq.
Email: alhachamia@uowasit.edu.iq
Abstract:
The adjacent configurations of twodimensional magnetic null point centers are analyzed by an immediate examination about the null. The configurations are classified as either potential or nonpotential. By then the nonpotential cases are subdivided into three cases depending upon whether the component of current is less than, equal to or greater than a threshold current. In addition the essential structure of reconnection in 2D is examined. It unfolds that the manner by which the magnetic flux is rebuilt. In this paper, we center on the ramifications of kinematic arrangements; that is, we fathom just Maxwell's conditions and a resistive Ohm's law.
Paper's Title:
Optimal Control Analysis of HIV/AIDS Epidemic Model with an Antiretroviral Treatment
Author(s):
U. Habibah and R. A. Sari
Mathematics Department and Reseach Group
of Biomathematics,
Faculty of Mathematics and Natural Science,
Brawijaya University, Jl. Veteran Malang 65145,
Indonesia.
Email: ummu_habibah@ub.ac.id
Abstract:
A mathematical model of HIV/AIDS is governed by a system of ordinary differential equations in the presence of an antiretroviral treatment (ARV). The theory of optimal control is applied to an epidemic model of HIV/AIDS which an ARV is used as a control strategy in order to prevent the spread of HIV/AIDS. The optimality system is derived by applying the Pontryagin's Minimum Principle. We analyze the boundedness and positivity of solutions, and an existence of the optimal control. Numerical simulations are conducted to obtain numerical solution of the optimally system.
Paper's Title:
Orthogonal Collocation on Finite Elements Using Quintic Hermite Basis
Author(s):
P. Singh, N. Parumasur and C. Bansilal
University of KwaZuluNatal,
School of Mathematics Statistics and Computer Sciences,
Private Bag X54001,
Durban, 4000,
South Africa.
Email: singhprook@gmail.com
parumasurn1@ukzn.ac.za
christelle18@gmail.com
Abstract:
In this paper we consider the orthogonal collocation on finite elements (OCFE) method using quintic Hermite (second degree smooth) basis functions and use it to solve partial differential equations (PDEs). The method is particularly tailored to solve third order BVPS and PDEs and to handle their special solutions such as travelling waves and solitons, which typically is the case in the KdV equation. The use of quintic polynomials and collocation using Gauss points yields a stable high order superconvergent method. OCFE using quintic Hermite basis is optimal since it is computationally more efficient than collocation methods using (first degree smooth) piecewisepolynomials and more accurate than the (third degree smooth) Bsplines basis. Various computational simulations are presented to demonstrate the computational efficiency and versatility of the OCFE method.
Paper's Title:
FeketeSzegö Inequality for Sakaguchi Type of functions in Petal Shaped Domain
Author(s):
E. K. Nithiyanandham and B. Srutha Keerthi
Division of Mathematics, School of
Advanced Sciences,
Vellore Institute of Technology Chennai Campus,
Chennai  600 048,
India.
Email: nithiyankrish@gmail.com
Division of Mathematics, School of
Advanced Sciences,
Vellore Institute of Technology Chennai Campus,
Chennai  600 048,
India.
Email: keerthivitmaths@gmail.com
Abstract:
In this paper, we estimate coefficient bounds,a_2,a_3 and a_4, FeketeSzegö inequality and Toeplitz determinant T_{2}(2) and T_{3}(1) for functions belonging to the following class
the function being holomorphic, we expand using Taylor series and obtain several corollaries and consequences for the main result.
Paper's Title:
Introducing the PicardS3 Iteration for Fixed Points
Author(s):
Pravin Singh, Virath Singh and Shivani Singh
University of KwaZuluNatal,
School of Mathematics Statistics and Computer Sciences,
Private Bag X54001,
Durban, 4000
South Africa.
Unisa,
Department of Decision Sciences,
PO Box 392,
Pretoria, 0003
South Africa.
Email: singhprook@gmail.com
singhv@ukzn.ac.za
shivstarsingh@gmail.com
Abstract:
In this paper we introduce a three step iteration method and show that it can be used to approximate the fixed point of a weak contraction mapping. Furthermore, we prove that this scheme is equivalent to the Mann iterative scheme. A comparison is made with other three step iterative methods by examining the speed of convergence. Results are presented in tables to support our conclusion.
Paper's Title:
DIterative Method for Solving a Delay Differential Equation and a TwoPoint SecondOrder Boundary Value Problems in Banach Spaces
Author(s):
Francis Akutsah^{1}, Akindele Adebayo Mebawondu^{2}, Oluwatosin Babasola^{3}, Paranjothi Pillay^{4} and Ojen Kumar Narain^{5}
^{1}School
of Mathematics,
Statistics and Computer Science,
University of KwaZuluNatal, Durban,
South Africa.
Email: 216040405@stu.ukzn.ac.za,
akutsah@gmail.com
^{2}School
of Mathematics,
Statistics and Computer Science,
University of KwaZuluNatal, Durban,
South Africa.
DSTNRF Centre of Excellence in Mathematical and Statistical Sciences (CoEMaSS),
Johannesburg,
South Africa.
Mountain Top University,
Prayer City, Ogun State,
Nigeria.
Email: dele@aims.ac.za
^{3}Department
of Mathematical Sciences,
University of Bath,
Claverton Down,
Bath, BA2 7AY
UK.
Email: ob377@bath.ac.uk
^{4}School
of Mathematics,
Statistics and Computer Science,
University of KwaZuluNatal, Durban,
South Africa.
Email: pillaypi@ukzn.ac.za
^{5}School
of Mathematics,
Statistics and Computer Science,
University of KwaZuluNatal, Durban,
South Africa.
Email: naraino@ukzn.ac.za
Abstract:
The purpose of this paper is to reestablish the convergence, stability and data dependence results established by [2] and [3] by removing the strong assumptions imposed on the sequences which were used to obtain their results. In addition, we introduced a modified approach using the Diterative method to solve a twopoint secondorder boundary value problem, and also obtain the solution of a delay differential equations using the obtained results in this paper. The results presented in this paper do not only extend and improve the results obtained in [2, 3], it further extends and improve some existing results in the literature.
Paper's Title:
Application of Chebyshev Polynomials to VolterraFredholm Integral Equations
Author(s):
Aissa Lakhal, Mostefa Nadir and Mohamed Nasseh Nadir
Department of Mathematics,
Faculty of Mathematics and
Informatics,
University of Msila,
Algeria.
Email:
aissa.lakhal@univmsila.dz
mostefa.nadir@univmsila.dz
nadir.mohamednasseh@yahoo.com
URL: https://www.mostefanadir.com
Abstract:
The goal of this work is to examine the numerical solution of linear VolterraFredholm integral equations of the second kind using the first, second, third and fourth Chebyshev polynomials. Noting that, the approximate solution is given in the form of series which converges to the exact one. Numerical examples are compared with other methods, in order to prove the applicability and the efficiency of this technical.
Paper's Title:
Bounds for the Extremal Eigenvalues of Positive Definite Matrices
Author(s):
Shivani Singh and Pravin Singh
Unisa, Department of Decision Sciences,
PO Box 392,
Pretoria,
0003,
South Africa.
Email: singhs2@unisa.ac.za
University of KwaZuluNatal,
School of Mathematics Statistics and Computer Sciences
Private Bag X54001,
Durban,
4000,
South Africa.
Email: singhprook@gmail.com
Abstract:
We use a projection to achieve bounds for a vector function of the eigenvalues of a positive definite matrix. For various choices of the monotonic function we are able to obtain bounds for the extremal eigenvalues in terms of the traces of the matrix and its powers. These bounds are relatively simple to compute.
Paper's Title:
Coefficient Bounds for Sakaguchi Kind of Functions Associated with Sine Function
Author(s):
Serap Bulut, H. Priya and B. Srutha Keerth
Kocaeli University,
Faculty of Aviation and Space Sciences,
Arslanbey Campus, 41285 KartepeKocaeli,
Turkey.
Email: serap.bulut@kocaeli.edu.tr
Department of Mathematics,
School of Advanced Sciences,
VIT Chennai Campus, Chennai  600 048,
India.
Email: priyaharikrishnan18@gmail.com,
priya.h2020@vitstudent.ac.in
Department of Mathematics,
School of Advanced Sciences,
VIT Chennai Campus, Chennai  600 048,
India.
Email: keerthivitmaths@gmail.com,
sruthakeerthi.b@vit.ac.in
Abstract:
In this paper, we introduce a new general subclass of analytic functions with respect to symmetric points in the domain of sine function. We obtain sharp coefficient bounds and upper bounds for the FeketeSzegö functional. Also we get sharp bounds for the logarithmic coefficients of functions belonging to this new class.
Paper's Title:
Jordan Canonical Form of Interval Matrices and Applications
Author(s):
S. Hema Surya, T. Nirmala and K. Ganesan
Department of Mathematics, College of
Engineering and Technology,
SRM Institute of Science and Technology,
Kattankulathur,
Chennai603203,
India.
Email: nirmalat@srmist.edu.in
URL:
https://www.srmist.edu.in/faculty/drtnirmala/
Abstract:
A square interval matrix over R can be converted to diagonal form if certain prerequisites are satisfied. However not all square matrices can be diagonalized. As a consequence, we strive the next simplest form to which it can be reduced while retaining important properties such as eigenvalues, rank, nullity, and so on. It turns out that any real interval matrix has a Jordan Canonical Form (JCF) over E if it has n interval eigenvalues in IR. We discuss in this paper a method for computing the Jordan canonical form of an interval matrix using a new pairing technique and a new type of interval arithmetic that will make classifying and analyzing interval matrices easier and more efficient. We conclude with a numerical example that supports the theory and application of predatorprey model.
Paper's Title:
New Reverses of Schwarz, Triangle and Bessel Inequalities in Inner Product Spaces
Author(s):
S. S. Dragomir
School of Computer Science and Mathematics, Victoria
University of Technology, PO BOX
14428, MCMC 8001, VICTORIA, AUSTRALIA.
sever.dragomir@vu.edu.au
URL:
http://rgmia.vu.edu.au/SSDragomirWeb.html
Abstract:
New reverses of the Schwarz, triangle and Bessel inequalities in inner product spaces are pointed out. These results complement the recent ones obtained by the author in the earlier paper [13]. Further, they are employed to establish new Grüss type inequalities. Finally, some natural integral inequalities are stated as well.
Paper's Title:
On Sufficient Conditions for Strong Starlikeness
Author(s):
V. Ravichandran, M. H. Khan, M. Darus, And K. G. Subramanian
School of Mathematical Sciences, Universiti Sains Malaysia,
11800 Usm Penang, Malaysia
vravi@cs.usm.my
Url: http://cs.usm.my/~vravi/index.html
Department of Mathematics, Islamiah College, Vaniambadi 635 751, India
khanhussaff@yahoo.co.in
School of Mathematical Sciences, Faculty of Science and Technology, UKM, Bangi
43600,
Malaysia
maslina@pkrisc.cc.ukm.my
Url:
http://www.webspawner.com/users/maslinadarus
Department of Mathematics, Madras Christian College, Tambaram, Chennai 600 059,
India
kgsmani@vsnl.net
Abstract:
In the present investigation, we obtain some sufficient conditions for a normalized analytic function f(z) defined on the unit disk to satisfy the condition
Paper's Title:
On the Ulam Stability for EulerLagrange Type Quadratic Functional Equations
Author(s):
Matina John Rassias and John Michael Rassias
Statistics and Modelling Science,
University of Strathclyde,
Livingstone Tower,
26 Richmond Str,
Glasgow, Uk, G1 1xh
Pedagogical Department, E. E., National and Capodistrian University of Athens,
Section of Mathematics and Informatics,
4, Agamemnonos Str, Aghia Paraskevi,
Athens 15342, Greece
Abstract:
In 1940 (and 1968) S. M. Ulam proposed the wellknown Ulam stability problem. In 1941 D.H. Hyers solved the HyersUlam problem for linear mappings. In 1951 D. G. Bourgin has been the second author treating the Ulam problem for additive mappings. In 1978 according to P.M. Gruber this kind of stability problems is of particular interest in probability theory and in the case of functional equations of different types. In 19822004 we established the HyersUlam stability for the Ulam problem for different mappings. In 19922000 J.M. Rassias investigated the Ulam stability for EulerLagrange mappings. In this article we solve the Ulam problem for EulerLagrange type quadratic functional equations. These stability results can be applied in mathematical statistics, stochastic analysis, algebra, geometry, as well as in psychology and sociology.
Paper's Title:
Classes of Meromorphic pvalent Parabolic Starlike Functions with Positive Coefficients
Author(s):
S. Sivaprasad Kumar, V. Ravichandran, and G. Murugusundaramoorthy
Department of Applied Mathematics
Delhi College of Engineering,
Delhi 110042, India
sivpk71@yahoo.com
School of Mathematical Sciences
Universiti Sains Malaysia
11800 USM Penang
Malaysia
vravi@cs.usm.my
URL: http://cs.usm.my/~vravi
Department of Mathematics
Vellore Institute of Technology (Deemed University)
Vellore 632 014, India
gmsmoorthy@yahoo.com
Abstract:
In the present paper, we consider two general subclasses of meromorphic pvalent starlike functions with positive coefficients and obtain a necessary and sufficient condition for functions to be in these classes. Also we obtain certain other related results as a consequences of our main results.
Paper's Title:
Solution of the HyersUlam Stability Problem for Quadratic Type Functional Equations in Several Variables
Author(s):
John Michael Rassias
Pedagogical Department, E.E., National and Capodistrian University of Athens,
Section of Mathematics and Informatics,
4, Agamemnonos Str., Aghia Paraskevi,
Athens 15342,
Greece
jrassias@primedu.uoa.gr
URL: http://www.primedu.uoa.gr/~jrassias/
Abstract:
In 1940 (and 1968) S. M. Ulam proposed the wellknown Ulam stability problem. In 1941 D. H. Hyers solved the HyersUlam problem for linear mappings. In 1951 D. G. Bourgin has been the second author treating the Ulam problem for additive mappings. In 1978 according to P. M. Gruber this kind of stability problems is of particular interest in probability theory and in the case of functional equations of different types. In 19822004 we established the HyersUlam stability for the Ulam problem for different mappings. In this article we solve the HyersUlam problem for quadratic type functional equations in several variables. These stability results can be applied in stochastic analysis, financial and actuarial mathematics, as well as in psychology and sociology.
Paper's Title:
The Invariant Subspace Problem for Linear Relations on Hilbert Spaces
Author(s):
Daniel GrixtiCheng
Department of Mathematics and Statistics,
The University of Melbourne,
Melbourne, VIC, 3010
Australia.
D.Grixti@ms.unimelb.edu.au
Abstract:
We consider the invariant subspace problem for linear relations on Hilbert spaces with the aim of promoting interest in the problem as viewed from the theory of linear relations. We present an equivalence between the single valued and multivalued invariant subspace problems and give some new theorems pertaining to the invariant subspace problem for linear relations on a Hilbert space.
Paper's Title:
Existence of Bounded Solutions for a Class of Strongly Nonlinear Elliptic Equations in OrliczSobolev Spaces
Author(s):
Abdelmoujib Benkirane and Ahmed Youssfi
Department of Mathematics and Informatics, Faculty of Sciences
Dhar El Mahraz
University Sidi Mohammed Ben Abdallah
PB 1796 FezAtlas, Fez
Morocco
a.benkirane@menara.ma
ahmed.youssfi@caramail.com
Abstract:
We prove, in the setting of OrliczSobolev spaces, the existence of bounded solutions for some strongly nonlinear elliptic equations with operator of the principal part having degenerate coercivity and lower order terms not satisfying the sign condition. The data have a suitable summability and no Δ_{2}condition is needed for the considered Nfunctions.
Paper's Title:
A Sum Form Functional Equation and Its Relevance in Information Theory
Author(s):
Prem Nath and Dhiraj Kumar Singh
Department of Mathematics
University of Delhi
Delhi  110007
India
pnathmaths@gmail.com
dksingh@maths.du.ac.in
Abstract:
The general solutions of a sum form functional equation containing four unknown mappings have been investigated. The importance of these solutions in relation to various entropies in information theory has been emphasised.
Paper's Title:
Some Inequalities for a Certain Class of Multivalent Functions Using Multiplier Transformation
Author(s):
K. Suchithra, B. Adolf Stephen, A. Gangadharan and S. Sivasubramanian
Department Of Applied Mathematics
Sri Venkateswara College Of Engineering
Sriperumbudur, Chennai  602105,
India.
suchithravenkat@yahoo.co.in
Department Of Mathematics,
Madras Christian College
Chennai  600059,
India.
adolfmcc2003@yahoo.co.in
Department Of Applied Mathematics
Sri Venkateswara College Of Engineering
Sriperumbudur, Chennai  602105,
India.
ganga@svce.ac.in
Department Of Mathematics,
Easwari Engineering College
Ramapuram, Chennai  600089,
India.
ganga@svce.ac.in
Abstract:
The object of the present paper is to derive several inequalities associated with differential subordinations between analytic functions and a linear operator defined for a certain family of pvalent functions, which is introduced here by means of a family of extended multiplier transformations. Some special cases and consequences of the main results are also considered.
Paper's Title:
Some Generalized Difference Sequence Spaces Defined by Orlicz Functions
Author(s):
Ramzi S. N. Alsaedi and Ahmad H. A. Bataineh
Department of Mathematics, King Abdul Aziz University,
Jeddah P.O.Box 80203,
Saudia Arabia
ramzialsaedi@yahoo.co.uk
Department of Mathematics, Al alBayt University,
Mafraq 25113,
Jordan
ahabf2003@yahoo.ca
Abstract:
In this paper, we define the sequence spaces: [V,M,p,u,Δ ],[V,M,p,u,Δ]_{0} and [V,M,p,u,Δ]_{∞}, where for any sequence x=(x_{n}), the difference sequence Δx is given by Δx=(Δx_{n}) = (x_{n}x_{n1}) . We also study some properties and theorems of these spaces. These are generalizations of those defined and studied by Savas and Savas and some others before.
Paper's Title:
Ulam Stability of Functional Equations
Author(s):
Stefan Czerwik and Krzysztof Król
Institute of Mathematics
Silesian University of Technology
Kaszubska 23,
44100 Gliwice,
Poland
Stefan.Czerwik@polsl.pl
Krzysztof.Krol@polsl.pl
Abstract:
In this survey paper we present some of the main results on UlamHyersRassias stability for important functional equations.
Paper's Title:
Applications of Relations and Relators in the Extensions of Stability Theorems for Homogeneous and Additive Functions
Author(s):
Árpád Száz
Institute of Mathematics, University of Debrecen,
H4010 Debrecen,
Pf. 12,
Hungary
szaz@math.klte.hu
Abstract:
By working out an appropriate technique of relations and relators and extending the ideas of the direct methods of Z. Gajda and R. Ger, we prove some generalizations of the stability theorems of D. H. Hyers, T. Aoki, Th. M. Rassias and P. Găvruţă in terms of the existence and unicity of 2homogeneous and additive approximate selections of generalized subadditive relations of semigroups to vector relator spaces. Thus, we obtain generalizations not only of the selection theorems of Z. Gajda and R. Ger, but also those of the present author.
Paper's Title:
Maximal Inequalities for Multidimensionally Indexed Demimartingales and the HájekRényi Inequality for Associated Random Variables
Author(s):
Tasos C. Christofides and Milto Hadjikyriakou
Department of Mathematics and Statistics
University of Cyprus
P.O.Box 20537, Nicosia 1678, Cyprus
tasos@ucy.ac.cy
miltwh@gmail.com
Abstract:
Demimartingales and demisubmartingales introduced by
Newman and
Wright (1982) generalize the notion of martingales and
submartingales respectively. In this paper we define
multidimensionally indexed demimartingales and demisubmartingales
and prove a maximal inequality for this general class of random
variables. As a corollary we obtain a HájekRényi inequality
for multidimensionally indexed associated random variables, the bound of which,
when reduced to the case of single index, is sharper than the bounds already
known in the literature.
Paper's Title:
On the Boundedness of Hardy's Averaging Operators
Author(s):
DahChin Luor
Department of Applied Mathematics,
IShou University, Dashu District,
Kaohsiung City 84001,
Taiwan, R.O.C.
dclour@isu.edu.tw
Abstract:
In this paper we establish scales of sufficient conditions for the boundedness of Hardy's averaging operators on weighted Lebesgue spaces. The estimations of the operator norms are also obtained. Included in particular are the ErdélyiKober operators.
Paper's Title:
Asymptotic Analysis of Positive Decreasing Solutions of a Class of Systems of Second Order Nonlinear Differential Equations in the Framework of Regular Variation
Author(s):
Jaroslav Jaroš, Kusano Takaŝi, Tomoyuki Tanigawa
Department of Mathematical Analysis and
Numerical Mathematics,
Faculty of Mathematics, Physics and Informatics,
Comenius Universiy, 842 48 Bratislava,
Slovakia.
Email: ksntksjm4@gmail.com
Professor Emeritus at: Hiroshima
University,
Department of Mathematics, Faculty of Science,
HigashiHiroshima 7398526,
Japan.
Email: jaros@fmph.uniba.sk
Department of Mathematics, Faculty of
Education,
Kumamoto University, Kumamoto 8608555,
Japan.
Email:
tanigawa@educ.kumamotou.ac.jp
Abstract:
The system of nonlinear differential equations
is under consideration, where α_{i}
and β_{i} are positive constants and
p_{i}(t) and q_{i}(t) are continuous regularly varying functions
on [a,∞). Two kinds of criteria are established for
the existence of strongly decreasing regularly varying solutions with negative
indices of (A) with precise asymptotic behavior at infinity. Fixed point
techniques and basic theory of regular variation are utilized for this purpose.
Paper's Title:
New Stochastic Calculus
Author(s):
Moawia Alghalith
Department of Economics,
University of the West Indies, St. Augustine,
Trinidad and Tobago.
Email:
malghalith@gmail.com
Abstract:
We present new stochastic differential equations, that are more general and simpler than the existing Itobased stochastic differential equations. As an example, we apply our approach to the investment (portfolio) model.
Paper's Title:
Some Double λConvergent Sequence Spaces Over nNormed Spaces
Author(s):
Kuldip Raj, Renu Anand and Seema Jamwal
School of Mathematics,
Shri Mata Vaishno Devi University Katra182320,
Jammu and Kashmir,
India.
Email: kuldipraj68@gmail.com, renuanand71@gmail.com, seemajamwal8@gmail.com
Abstract:
In this paper we introduce some double generalized λconvergent sequence spaces over nnormed spaces defined by MusielakOrlicz function M = (M_{k,l}). We also made an attempt to study some topological and algebraic properties of these sequence spaces.
Paper's Title:
Fractional class of analytic functions Defined Using qDifferential Operator
Author(s):
K . R. Karthikeyan, Musthafa Ibrahim and S. Srinivasan
Department of Mathematics and
Statistics,
Caledonian College of Engineering, Muscat,
Sultanate of Oman.
Email: kr_karthikeyan1979@yahoo.com
College of Engineering,
University of Buraimi, Al Buraimi,
Sultanate of Oman.
Email: musthafa.ibrahim@gmail.com
Department of Mathematics, Presidency
College (Autonomous),
Chennai600005, Tamilnadu,
India.
Abstract:
We define a qdifferential fractional operator, which generalizes Salagean and Ruscheweyh differential operators. We introduce and study a new class of analytic functions involving qdifferential fractional operator. We also determine the necessary and sufficient conditions for functions to be in the class. Further, we obtain the coefficient estimates, extreme points, growth and distortion bounds.
Paper's Title:
A Method of the Study of the Cauchy Problem for~a~Singularly Perturbed Linear Inhomogeneous Differential Equation
Author(s):
E. E. Bukzhalev and A. V. Ovchinnikov
Faculty of Physics,
Moscow State University,
1 Leninskie Gory,
Moscow, 119991,
Russia
Email: bukzhalev@mail.ru
Russian Institute for Scientific and
Technical Information of the Russian Academy of Sciences,
20 Usievicha St., Moscow, 125190,
Russia
Email: ovchinnikov@viniti.ru
Abstract:
We construct a sequence that converges to a solution of the Cauchy problem for a singularly perturbed linear inhomogeneous differential equation of an arbitrary order. This sequence is also an asymptotic sequence in the following sense: the deviation (in the norm of the space of continuous functions) of its nth element from the solution of the problem is proportional to the (n+1)th power of the parameter of perturbation. This sequence can be used for justification of asymptotics obtained by the method of boundary functions.
Paper's Title:
Iterative Algorithm for Split Generalized Mixed Equilibrium Problem Involving Relaxed Monotone Mappings in Real Hilbert Spaces
Author(s):
^{1}U.A. Osisiogu, F.L. Adum, and ^{2}C. Izuchukwu
^{1}Department of Mathematics and
Computer Science,
Ebonyi State University, Abakaliki,
Nigeria.
Email: uosisiogu@gmail.com,
adumson2@yahoo.com
^{2}School of Mathematics,
Statistics and Computer Science,
University of KwaZuluNatal, Durban,
South Africa.
Email: izuchukwuc@ukzn.ac.za,
izuchukwu_c@yahoo.com
Abstract:
The main purpose of this paper is to introduce a certain class of split generalized mixed equilibrium problem involving relaxed monotone mappings. To solve our proposed problem, we introduce an iterative algorithm and obtain its strong convergence to a solution of the split generalized mixed equilibrium problems in Hilbert spaces. As special cases of the proposed problem, we studied the proximal split feasibility problem and variational inclusion problem.
Paper's Title:
Convergence Speed of Some Random ImplicitKirktype Iterations for Contractivetype Random Operators
Author(s):
H. Akewe, K.S. Eke
Department of Mathematics,
Covenant University,
Canaanland, KM 10, Idiroko Road, P. M. B. 1023, Ota, Ogun State,
Nigeria.
Email: hudson.akewe@covenantuniversity.edu.ng,
kanayo.eke@covenantuniversity.edu.ng
Abstract:
The main aim of this paper is to introduce a stochastic version of multistep type iterative scheme called a modified random implicitKirk multistep iterative scheme and prove strong convergence and stability results for a class of generalized contractivetype random operators. The rate of convergence of the random iterative schemes are also examined through an example. The results show that our new random implicit kirk multistep scheme perform better than other implicit iterative schemes in terms of convergence and thus have good potentials for further applications in equilibrium problems in computer science, physics and economics.
Paper's Title:
A Low Order LeastSquares Nonconforming Finite Element Method for Steady Magnetohydrodynamic Equations
Author(s):
Z. Yu, D. Shi and H. Zhu
College of Science,
Zhongyuan
University of Technology,
Zhengzhou 450007,
China.
Email:
5772@zut.edu.cn
School of Mathematics and Statistics,
Zhengzhou University,
Zhengzhou 450001,
China.
Email:
shi_dy@126.com
Mathematics Department,
University of Southern Mississippi,
Hattiesburg MS, 39406,
U.S.A
Email:
huiqing.zhu@usm.edu
Abstract:
A low order leastsquares nonconforming finite element (NFE) method is proposed for magnetohydrodynamic equations with EQ_{1}^{rot} element and zeroorder RaviartThomas element. Based on the above element's typical interpolations properties, the existence and uniqueness of the approximate solutions are proved and the optimal order error estimates for the corresponding variables are derived.
Paper's Title:
Formulation of Approximate Mathematical Model for Incoming Water to Some Dams on Tigris and Euphrates Rivers Using Spline Function
Author(s):
Nadia M. J. Ibrahem, Heba A. Abd AlRazak, and Muna M. Mustafa
Mathematics Department,
College of Sciences for Women,
University of Baghdad, Baghdad,
Iraq.
Email:
Nadiamj_math@csw.uobaghdad.edu.iq
Abstract:
In this paper, we formulate three mathematical models using spline functions, such as linear, quadratic and cubic functions to approximate the mathematical model for incoming water to some dams. We will implement this model on dams of both rivers; dams on the Tigris are Mosul and Amara while dams on the Euphrates are Hadetha and AlHindya.
Paper's Title:
HermiteHadamard Type Inequalities for MNConvex Functions
Author(s):
Sever S. Dragomir^{1,2}
^{1}Mathematics,
College of Engineering
& Science
Victoria University, PO Box 14428
Melbourne City, MC 8001,
Australia
Email: sever.dragomir@vu.edu.au
^{2}DSTNRF Centre of Excellence in the Mathematical and Statistical Sciences,
School of Computer Science & Applied Mathematics,
University of the Witwatersrand,
Private Bag 3, Johannesburg 2050,
South Africa
URL:
https://rgmia.org/dragomir
Abstract:
The present work endeavours to briefly present some of the fundamental results connected to the HermiteHadamard inequality for special classes of convex functions such as AG, AH, GA, GG, GH, HA, HG and HH convex functions in which the author have been involved during the last five years. For simplicity, we call these classes of functions such as MNconvex functions, where M and N stand for any of the Arithmetic (A), Geometric (G) or Harmonic (H) weighted means of positive real numbers. The survey is intended for use by both researchers in various fields of Approximation Theory and Mathematical Inequalities, domains which have grown exponentially in the last decade, as well as by postgraduate students and scientists applying inequalities in their specific areas.
Paper's Title:
Semivectorial Bilevel Optimization on AffineFinslerMetric Manifolds
Author(s):
Faik Mayah^{1}, Ali S Rasheed^{2} and Naseif J. Al Jawari^{3}
^{1}Department of Physics,
College of Sciences,
University of Wasit,
Iraq.
Email: faik.mayah@gmail.com
^{2}Ministry of Higher Education and Scientific Research,
Iraq.
Email: ali.math2018@yahoo.com
ahmedhashem@gmail.com
^{3}Dept.
of Mathematics,
College of Science,
Mustansiriyah University, Baghdad,
Iraq.
Email: nsaif642014@yahoo.com
Abstract:
A Finsler manifold is a differential manifold together with a Finsler metric, in this paper we construct a new class of Finsler metric affine manifolds on bilevel semivectorial with optimization problems. The first steps for this purpose involve the study of bilevel optimization on affine manifolds. The bilevel programming problem can be viewed as a static version of the noncooperative, twoperson game which was introduced in the context of unbalanced economic markets. Bilevel optimization is a special kind of optimization where one problem is embedded within another.
Paper's Title:
Hankel Functional Connected to Lemniscate of Bernoulli
Author(s):
K. Ramanuja Rao, Rajnesh Lal and Kaushal Singh
Fiji National University,
Department of Mathematics & Statistics,
P.O. Box 5529, Lautoka,
Fiji.
Email: ramanuja.kotti@fnu.ac.fj
rajnesh.lal@fnu.ac.fj
kaushal.singh@fnu.ac.fj
Abstract:
The aim of present paper is to derive a higher bound (HB) of 3^{rd} order Hankel determinant for a collection of holomorphic mappings connected with exactly to the right side of the lemniscate of Bernoulli, whose polar coordinates form is r^{2} = 2cos^{2}(2θ). The method carried in this paper is more refined than the method adopted by the authors (see [1]), who worked on this problem earlier.
Paper's Title:
The RAFU remainder in Taylor's formula
Author(s):
A. C. Sanchez
''Santa Eulalia'' High School,
Spain
Email: csanchezalicia@gmail.com
Abstract:
This work is about the remainder in Taylor's formula. Specifically, the RAFU remainder is studied. Its mathematical expression is given. Some examples are shown. Different ways to obtain this remainder are developed.
Paper's Title:
On General Class of Nonlinear Contractive Maps and their Performance Estimates
Author(s):
Olalekan Taofeek Wahab and Salaudeen Alaro Musa
Department of Mathematics and
Statistics
Kwara State University, Malete
P. M. B. 1530 Ilorin,
Nigeria.
Email: taofeek.wahab@kwasu.edu.ng
Abstract:
This paper considers two independent general class of nonlinear contractive maps to study the existence properties of nonlinear operators with prior degenerate. The existence properties are proved in the framework of approximate fixed points with the imposition of the general class of contractive conditions in metrical convex spaces without emphasis on completeness or compactness. For computational purposes, the performance estimates and the sensitivity dependence of these conditions are obtained for the Picard operator. Practical examples are also considered to justify the validity of the conditions. The results ensure no term is lost in the operators with prior degenerate and the conditions are strictly larger class when compare with others in the literature.
Paper's Title:
Toeplitz Determinant for Sakaguchi Type Functions Under Petal Shaped Domain
Author(s):
B. Nandhini and B. Srutha Keerthi
Division of Mathematics, School of
Advanced Sciences,
Vellore Institute of Technology Chennai Campus,
Chennai  600 048,
India.
Email:
nandhinibaskar1996@gmail.com
Division of Mathematics, School of
Advanced Sciences,
Vellore Institute of Technology Chennai Campus,
Chennai  600 048,
India.
Email: keerthivitmaths@gmail.com
Abstract:
We introduce a new general subclass GP^{t,ρ} of Sakaguchi kind function on a Petal shaped domain. We obtain coefficients bounds and upper bounds for the FeketeSzegö functional over the class. From these functions we obtain the bounds of first four coefficients, and then we have derived the Toeplitz determinant T_{2}(2) and T_{3}(1) whose diagonal entries are the coefficients of functions.
Paper's Title:
Walrasian Equilibrium for Setvalued Mapping
Author(s):
M. Muslikh, R.B.E Wibowo, S. Fitri
Department of Mathematics,
University of Brawijaya,
Malang,
Indonesia.
Email: mslk@ub.ac.id
rbagus@ub.ac.id
saadatul@ub.ac.id
Abstract:
In this article, we obtain the existence of Walras equilibrium for setvalued demand mappings in a pure exchange economy. In this case, the setvalued mappings are defined by the loss function. Therefore, we shall summarize the features describing the exchange economy system which contain the loss function.
Paper's Title:
Generalized Composition Operators On Besov Spaces
Author(s):
Vishal Sharma, Sanjay Kumar and Stanzin Dolkar
Department of Mathematics,
Central University of Jammu,
Jammu and Kashmir,
India.
Email: sharmavishal911@gmail.com
Department of Mathematics,
Central University of Jammu,
Jammu and Kashmir,
India.
Email: sanjaykmath@gmail.com
Department of Mathematics,
Central University of Jammu,
Jammu and Kashmir,
India.
Email: stanzin.math@cujammu.ac.in
Abstract:
In this paper, we characterize boundedness, compactness and find the essential norm estimates for generalized composition operators between Besov spaces and S_{p} spaces.
Paper's Title:
Geometrical Properties of Subclass of Analytic Function with Odd Degree
Author(s):
K. Sivagami Sundari and B. Srutha Keerthi
Divison of Mathematics, School of
Advanced Sciences,
Vellore Institute of Technology, Chennai Campus, Chennai  600 127,
India.
Email: sivagamisundari.2298@gmail.com
Divison of Mathematics, School of
Advanced Sciences,
Vellore Institute of Technology, Chennai Campus, Chennai  600 127,
India.
Email: keerthivitmaths@gmail.com
Abstract:
The objective of the paper is to study the geometrical properties of the class B(λ, t). For which we have proved that the radius is optimal ,(i.e) the number cannot be replaced by a larger one. Additionally, the graphs for various values of t and λ are compared in order to study the sharpness of the coefficient bounds.
Paper's Title:
Multivalued Equilibrium Problems with Trifunction
Author(s):
Muhammad Aslam Noor
Etisalat College of Engineering, P.O. Box 980, Sharjah, United Arab Emirates
noor@ece.ac.ae
Abstract:
In this paper, we use the auxiliary principle technique to suggest some new classes of iterative algorithms for solving multivalued equilibrium problems with trifunction. The convergence of the proposed methods either requires partially relaxed strongly monotonicity or pseudomonotonicity. As special cases, we obtain a number of known and new results for solving various classes of equilibrium and variational inequality problems. Since multivalued equilibrium problems with trifunction include equilibrium, variational inequality and complementarity problems as specials cases, our results continue to hold for these problems.
Paper's Title:
Generalized FugledePutnam Theorem and Orthogonality
Author(s):
A. Bachir and A. Sagres
Department of
Mathematics, Faculty of Science, King Khaled
University, Abha, P.O. Box 9004 Kingdom Saudi Arabia
bachir_ahmed@hotmail.com
sagres@hotmail.com
Abstract:
An asymmetric FugledePutnam’s theorem for dominant operators and phyponormal operators is proved, as a consequence of this result, we obtain that the range of the generalized derivation induced by the above classes of operators is orthogonal to its kernel.
Paper's Title:
On a Criteria for Strong Starlikeness
Author(s):
V. Ravichandran, M. Darus, and N. Seenivasagan
School Of Mathematical Sciences,
Universiti Sains Malaysia,
11800 Usm Penang, Malaysia
vravi@cs.usm.my
URL: http://cs.usm.my/~vravi
School of Mathematical Sciences, Faculty of Sciences and Technology,
Ukm, Bangi 43600, Malaysia
maslina@pkrisc.cc.ukm.my
Sindhi College, 123, P. H. Road, Numbal,
Chennai 600 077 India
vasagan2000@yahoo.co.in
Abstract:
In this paper, we are concerned with finding sufficient condition for certain normalized analytic function f(z) defined on the open unit disk in the complex plane to be strongly starlike of order α. Also we have obtained similar results for certain functions defined by Ruscheweyh derivatives and Sălăgean derivatives. Further extension of these results are given for certain pvalent analytic functions defined through a linear operator.
Paper's Title:
Multivalued Hemiequilibrium Problems
Author(s):
Muhammad Aslam Noor
Mathematics Department,
COMSATS Institute of Information Technology,
Sector H8/1, Islamabad,
Pakistan.
noormaslam@hotmail.com
Abstract:
In this paper, we introduce and study a new class of equilibrium problems, known as multivalued hemiequilibrium problems. The auxiliary principle technique is used to suggest and analyze some new classes of iterative algorithms for solving multivalued hemiequilibrium problems. The convergence of the proposed methods either requires partially relaxed strongly monotonicity or pseudomonotonicity. As special cases, we obtain a number of known and new results for solving various classes of equilibrium and variational inequality problems. Since multivalued hemiequilibrium problems include hemiequilibrium, hemivariational inequalities, variational inequalities and complementarity problems as specials cases, our results still hold for these problems.
Paper's Title:
Essential Random Fixed Point Set of Random Operators
Author(s):
Ismat Beg
Centre for Advanced Studies in Mathematics,
Lahore University of Management Sciences (LUMS),
54792Lahore, PAKISTAN.
ibeg@lums.edu.pk
URL: http://web.lums.edu.pk/~ibeg
Abstract:
We obtain necessary and sufficient conditions for the existence of essential random fixed point of a random operator defined on a compact metric space. The structure of the set of essential random fixed points is also studied.
Paper's Title:
Some Approximation for the linear combinations of modified Beta operators
Author(s):
Naokant Deo
Department of Applied Mathematics
Delhi College of Engineering
Bawana Road, Delhi  110042,
India.
dr_naokant_deo@yahoo.com
Abstract:
In this paper, we propose a sequence of new positive linear operators β_{n} to study the ordinary approximation of unbounded functions by using some properties of the Steklov means.
Paper's Title:
The successive approximations method and error estimation in terms of at most the first derivative for delay ordinary differential equations
Author(s):
Alexandru Mihai Bica
Department of Mathematics,
University of Oradea,
Str. Armatei Romane no.5,
410087, Oradea,
Romania
smbica@yahoo.com
abica@uoradea.ro
Abstract:
We present here a numerical method for first order delay ordinary differential equations, which use the Banach's fixed point theorem, the sequence of successive approximations and the trapezoidal quadrature rule. The error estimation of the method uses a recent result of P. Cerone and S.S. Dragomir about the remainder of the trapezoidal quadrature rule for Lipchitzian functions and for functions with continuous first derivative.
Paper's Title:
On the Hohov Convolution Of The Class S_{p}(α,β)
Author(s):
T. N. Shanmugam and S. Sivasubramanian
Department of Mathematics,
Anna University,
Chennai 600025,
Tamilnadu, India.
shan@annauniv.edu
Department of Mathematics,
Easwari Engineering College,
Chennai600089,
Tamilnadu, India,
sivasaisastha@rediffmail.com
Abstract:
Let F(a,b;c;z) be the Gaussian hypergeometric function and I_{a,b;c}(f)=zF(a,b;c;z)*f(z) be the Hohlov operator defined on the class A of all normalized analytic functions. We determine conditions on the parameters a,b,c such that I_{a,b;c}(f) will be in the class of parabolic starlike functions S_{p}(α,β). Our results extend several earlier results.
Paper's Title:
Positive Periodic TimeScale Solutions for Functional Dynamic Equations
Author(s):
Douglas R. Anderson and Joan Hoffacker
Department of Mathematics and Computer Science
Concordia College
Moorhead, MN 56562 USA
andersod@cord.edu
URL: http://www.cord.edu/faculty/andersod/
Department of Mathematical Sciences
Clemson University
Clemson, SC 29634 USA
johoff@clemson.edu
URL: http://www.math.clemson.edu/facstaff/johoff.htm
Abstract:
Using Krasnoselskii's fixed point theorem, we establish the existence of positive periodic solutions to two pairs of related nonautonomous functional delta dynamic equations on periodic time scales, and then extend the discussion to higherdimensional equations. Two pairs of corresponding nabla equations are also provided in an analogous manner.
Paper's Title:
Existence of Nonspurious Solutions to Discrete Boundary Value Problems
Author(s):
Irena Rachunkova and Christopher C. Tisdell
Department of Mathematics
Palacky University
771 46 Olomouc, Czech Republic.
rachunko@risc.upol.cz
URL: http://phoenix.inf.upol.cz/~rachunekl/mathair/mathaen.htm
School of Mathematics
The University of New South Wales
Sydney 2052, Australia.
cct@unsw.edu.au
URL: http://www.maths.unsw.edu.au/~cct
Abstract:
This paper investigates discrete boundary value problems (BVPs) involving secondorder difference equations and twopoint boundary conditions. General theorems guaranteeing the existence and uniqueness of solutions to the discrete BVP are established. The methods involve a sufficient growth condition to yield an a priori bound on solutions to a certain family of discrete BVPs. The em a priori bounds on solutions to the discrete BVP do not depend on the stepsize and thus there are no ``spurious'' solutions. It is shown that solutions of the discrete BVP will converge to solutions of ordinary differential equations.
Paper's Title:
A Reverse of the Triangle Inequality in Inner Product Spaces and Applications for Polynomials
Author(s):
I. Brnetić, S. S. Dragomir, R. Hoxha and J. Pečarić
Department of Applied Mathematics, Faculty of Electrical
Engineering and Computing,
University of Zagreb, Unska 3, 10 000 Zagreb,
Croatia
andrea@zpm.fer.hr
School of Computer Science & Mathematics, Victoria University
Po Box 14428, Melbourne Vic 8001
Australia
sever.dragomir@vu.edu.au
URL:http://rgmia.vu.edu.au/dragomir
Faculty of Applied Technical Sciences, University of Prishtina,
Mother
Theresa 5, 38 000 Prishtina
Kosova
razimhoxha@yahoo.com
Faculty of Textile Technology, University of Zagreb,
Pierottijeva 6, 10000
Zagreb,
Croatia
pecaric@hazu.hr
Abstract:
A reverse of the triangle inequality in inner product spaces related to the celebrated DiazMetcalf inequality with applications for complex polynomials is given.
Paper's Title:
Algebraic Approach to the Fractional Derivatives
Author(s):
Kostadin Trenčevski and Živorad Tomovski
Institute of Mathematics,
St. Cyril and Methodius University,
P.O. Box 162, 1000 Skopje,
Macedonia
kostatre@iunona.pmf.ukim.edu.mk
tomovski@iunona.pmf.ukim.edu.mk
URL:http://www.pmf.ukim.edu.mk
Abstract:
In this paper we introduce an alternative definition of the fractional derivatives and also a characteristic class of so called ideal functions, which admit arbitrary fractional derivatives (also integrals). Further some ideal functions are found, which lead to representations of the Bernoulli and Euler numbers B_{k} and E_{k} for any real number k, via fractional derivatives of some functions at x=0.
Paper's Title:
A Nonlinear Proximal Alternating Directions Method for Structured Variational Inequalities
Author(s):
M. Li
Department of Management Science and Engineering, School of Economics and Management
Southeast University, Nanjing, 210096,
China.
liminnju@yahoo.com
Abstract:
In this paper, we present a nonlinear proximal alternating directions method (NPADM) for solving a class of structured variational inequalities (SVI). By choosing suitable Bregman functions, we generalize the proximal alternating directions method proposed by He, et al.. The convergence of the method is proved under quite mild assumptions and flexible parameter conditions.
Paper's Title:
Isoperimetric Inequalities for Dual Harmonic Quermassintegrals
Author(s):
Yuan Jun, Zao Lingzhi and Duan Xibo
School of Mathematics and Computer Science,
Nanjing Normal University, Nanjing, 210097,
China.
yuanjun_math@126.com
Department of Mathematics, Nanjing Xiaozhuang University,
Nanjing, 211171,
China.
lzhzhao@163.com
Department of Mathematics, Shandong Water Polytechnic,
Shandong, 276826,
China
dxb1111@sohu.com
Abstract:
In this paper, some isoperimetric inequalities for the dual harmonic quermassintegrals are established.
Paper's Title:
On the Asymptotic Behavior of Solutions of Third Order Nonlinear Differential Equations
Author(s):
Ivan Mojsej and Alena Tartaľová
Institute of Mathematics,
Faculty of Science, P. J. Šafárik University,
Jesenná 5, 041 54 Košice,
Slovak Republic
ivan.mojsej@upjs.sk
Department of Applied Mathematics and Business Informatics,
Faculty of Economics,
Technical University,
Nemcovej 32, 040 01 Košice,
Slovak Republic
alena.tartalova@tuke.sk
Abstract:
This paper is concerned with the asymptotic behavior of solutions of nonlinear differential equations of the
third order with quasiderivatives. Mainly, we present the necessary and sufficient conditions for the existence
of nonoscillatory solutions with specified asymptotic behavior as
Paper's Title:
The εSmall Ball Drop Property
Author(s):
C. Donnini and A. Martellotti
Dipartimento
di Statistica e Matematica per la Ricerca Economica,
Universitŕ degli Studi di Napoli "Parthenope",
Via Medina, 80133 Napoli,
Italy
chiara.donnini@uniarthenope.it
{Dipartimento di Matematica e Informatica,
Universitŕ degli Studi di Perugia,
Via Pascoli  06123 Perugia,
Italy.
amart@dipmat.unipg.it
URL:
www.dipmat.unipg.it/~amart/
Abstract:
We continue the investigation on classes of small sets in a Banach space that give alternative formulations of the Drop Property. The small sets here considered are the set having the small ball property, and we show that for sets having nonempty intrinsic core and whose affine hull contains a closed affine space of infinite dimension the Drop Property can be equivalently formulated in terms of the small ball property.
Paper's Title:
Stability of a Mixed Additive, Quadratic and Cubic Functional Equation In QuasiBanach Spaces
Author(s):
A. Najati and F. Moradlou
Department of Mathematics, Faculty of Sciences,
University of Mohaghegh Ardabili, Ardabil,
Iran
a.nejati@yahoo.com
Faculty of Mathematical Sciences,
University of Tabriz, Tabriz,
Iran
moradlou@tabrizu.ac.ir
Abstract:
In this paper we establish the general solution of a mixed additive, quadratic and cubic functional equation and investigate the HyersUlamRassias stability of this equation in quasiBanach spaces. The concept of HyersUlamRassias stability originated from Th. M. Rassias' stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297300.
Paper's Title:
Some Open Problems in Analysis
Author(s):
A.G. Ramm
Mathematics Department, Kansas State University,
Manhattan, KS 665062602,
USA
ramm@math.ksu.edu
URL: http://www.math.ksu.edu/~ramm
Abstract:
In this paper some open problems in analysis are formulated. These problems were formulated and discussed by the author at ICMAA6.
Paper's Title:
A Study of the Effect of Density Dependence in a Matrix Population Model
Author(s):
N. Carter and M. Predescu
Department of Mathematical Sciences,
Bentley University,
Waltham, MA 02452,
U.S.A.
ncarter@bentley.edu
mpredescu@bentley.edu
Abstract:
We study the behavior of solutions of a three dimensional discrete time nonlinear matrix population model. We prove results concerning the existence of equilibrium points, boundedness, permanence of solutions, and global stability in special cases of interest. Moreover, numerical simulations are used to compare the dynamics of two main forms of the density dependence function (rational and exponential).
Paper's Title:
On the Fock Representation of the Central Extensions of the Heisenberg Algebra
Author(s):
L. Accardi and A. Boukas
Centro Vito Volterra, Universitŕ di Roma
Tor Vergata,
via Columbia 2, 00133 Roma,
Italy
accardi@volterra.mat.uniroma2.it
URL: http://volterra.mat.uniroma2.it
Department of Mathematics,
American College of Greece,
Aghia Paraskevi, Athens 15342,
Greece
andreasboukas@acg.edu
Abstract:
We examine the possibility of a direct Fock representation of the recently obtained nontrivial central extensions of the Heisenberg algebra, generated by elements and E satisfying the commutation relations , and , where a and are dual, h is selfadjoint, E is the nonzero selfadjoint central element and We define the exponential vectors associated with the Fock space, we compute their Leibniz function (inner product), we describe the action of a, and h on the exponential vectors and we compute the moment generating and characteristic functions of the classical random variable corresponding to the selfadjoint operator
Paper's Title:
Generalized Efficient Solutions to One Class of Vector Optimization Problems in Banach Space
Author(s):
Peter I. Kogut, Rosanna Manzo, and Igor V. Nechay
Department of Differential Equations,
Dnipropetrovsk National University,
Naukova str., 13,
49050 Dnipropetrovsk,
Ukraine
p.kogut@i.ua
Dipartimento di Ingegneria
Dell’informazione e Matematica Applicata,
Universitŕ di Salerno,
Via
Ponte
Don Melillo,
84084 Fisciano
(Sa),
Italy
manzo@diima.unisa.it
Department of Technical Cybernetics,
Dnipropetrovsk Technical University,
Acad. Lazarjan str., 2,
49010
Dnipropetrovsk,
Ukraine
i.nechay@i.ua
Abstract:
In this paper, we study vector optimization problems in Banach spaces for essentially nonlinear operator equations with additional control and state constraints. We assume that an objective mapping possesses a weakened property of lower semicontinuity and make no assumptions on the interior of the ordering cone. Using the penalization approach we derive both sufficient and necessary conditions for the existence of efficient solutions of the above problems. We also prove the existence of the socalled generalized efficient solutions via the scalarization of some penalized vector optimization problem.
Paper's Title:
Trapping of Water Waves By Underwater Ridges
Author(s):
^{1}A. M. Marin, ^{ 1}R. D. Ortiz and ^{2}J. A. RodriguezCeballos.
^{1}Facultad de Ciencias Exactas y Naturales
Universidad de Cartagena
Sede Piedra de Bolivar, Avenida del Consulado
Cartagena de Indias, Bolivar,
Colombia.
^{2}Instituto Tecnológico de
Morelia Facultad de Ciencias Fisico Matematicas
Universidad Michoacana
Tecnológico
1500, Col. Lomas de Santiaguito Edificio Be ,
Ciudad Universitaria,
58120 Morelia, Michoacan,
Mexico.
amarinr@unicartagena.edu.co,
ortizo@unicartagena.edu.co.
URL: www.unicartagena.edu.co.
Abstract:
As is wellknown, underwater ridges and
submerged horizontal cylinders can serve as waveguides for surface water waves.
For large values of the wavenumber in the direction of the ridge, there is only
one trapped wave (this was proved in Bonnet & Joly (1993, SIAM J. Appl. Math.
53, pp 15071550)).
We construct the asymptotics of these trapped waves and their frequencies at
high frequency by means of reducing the initial problem to a pair of boundary
integral equations and then by applying the method of Zhevandrov & Merzon (2003,
AMS Transl. (2) 208, pp 235284), in order to solve
them.
Paper's Title:
Some Inequalities for Gramian Normal Operators and for Gramian SelfAdjoint Operators in PseudoHilbert Spaces
Author(s):
Loredana Ciurdariu
Department of Mathematics,"Politehnica" University of Timisoara,
Pta. Victoriei, No.2, 300006Timisoara,
ROMANIA
cloredana43@yahoo.com.
Abstract:
Several inequalities for gramian normal operators and for gramian selfadjoint operators in pseudoHilbert spaces are presented.
Paper's Title:
Some Inequalities Concerning Derivative and Maximum Modulus of Polynomials
Author(s):
N. K. Govil, A. Liman and W. M. Shah
Department of Mathematics & Statistics,
Auburn University, Auburn,
Alabama 368495310,
U.S.A
Department of Mathematics,
National Institute of Technology,
Srinagar, Kashmir,
India  190006
Department of Mathematics,
Kashmir University,
Srinagar, Kashmir,
India  190006
govilnk@auburn.edu
abliman22@yahoo.com
wmshah@rediffmail.com
Abstract:
In this paper, we prove some compact generalizations of some wellknown Bernstein type inequalities concerning the maximum modulus of a polynomial and its derivative in terms of maximum modulus of a polynomial on the unit circle. Besides, an inequality for selfinversive polynomials has also been obtained, which in particular gives some known inequalities for this class of polynomials. All the inequalities obtained are sharp.
Paper's Title:
Szegö Limits and Haar Wavelet Basis
Author(s):
M. N. N. Namboodiri and S. Remadevi
Dept. of Mathematics, Cochin University
of Science and Technology,
Cochin21, Kerala,
India.
Dept. of Mathematics, College of
Engineering,
Cherthala, Kerala,
India.
Abstract:
This paper deals with Szegö type limits for multiplication operators on L^{2} (R) with respect to Haar orthonormal basis. Similar studies have been carried out by Morrison for multiplication operators T_{f} using Walsh System and Legendre polynomials [14]. Unlike the Walsh and Fourier basis functions, the Haar basis functions are local in nature. It is observed that Szegö type limit exist for a class of multiplication operators T_{f} , f∈ L^{∞} (R) with respect to Haar (wavelet) system with appropriate ordering. More general classes of orderings of Haar system are identified for which the Szegö type limit exist for certain classes of multiplication operators. Some illustrative examples are also provided.
Paper's Title:
A Geometric Generalization of BusemannPetty Problem
Author(s):
Liu Rong and Yuan Jun
Shanghai Zhangjiang Group Junior Middle School,
Huo Xiang Road, Shanghai, 201203,
China
Abstract:
The norm defined by Busemann's inequality establishes a class of star body  intersection body. This class of star body plays a key role in the solution of BusemannPetty problem. In 2003, Giannapoulos [1] defined a norm for a new class of halfsection. Based on this norm, we give a geometric generalization of BusemannPetty problem, and get its answer as a result
Paper's Title:
Some Operator Order Inequalities for Continuous Functions of Selfadjoint Operators in Hilbert Spaces
Author(s):
S. S. Dragomir^{1,2} and Charles E. M. Pearce^{3}
^{1}Mathematics, School of Engineering & Science,
Victoria University,
PO Box 14428,
Melbourne City, MC 8001,
Australia.
^{2}School of Computational & Applied Mathematics,
University of
the Witwatersrand,
Private Bag 3, Johannesburg 2050,
South Africa.
sever.dragomir@vu.edu.au
URL: http://rgmia.org/dragomir
^{3}School
of Mathematical Sciences,
The University of Adelaide,
Adelaide,
Australia
Abstract:
Various bounds in the operator order for the following operator transform
where A is a selfadjoint operator in the Hilbert space H with the
spectrum Sp( A) ⊆ [ m,M]
and f:[m,M] > C is a continuous function on [m,M]
are given. Applications for the power and logarithmic functions are provided as
well.
Paper's Title:
A Nonhomogeneous Subdiffusion Heat Equation
Author(s):
JoelArturo RodriguezCeballos, AnaMagnolia Marin, RubenDario Ortiz
Instituto Tecnológico de Morelia,
Morelia, Michoacan,
Mexico
Email: joel@ifm.umich.mx
Universidad de Cartagena,
Campus San Pablo,
Cartagena de Indias, Bolivar,
Colombia
Email: amarinr@unicartagena.edu.co
Email: joel@ifm.umich.mx
Abstract:
In this paper we consider a nonhomogeneous subdiffusion heat equation of fractional order with Dirichlet boundary conditions.
Paper's Title:
Existence and Regularity of Minima of an Integral Functional in Unbounded Domain
Author(s):
L. Aharouch, J. Bennouna and A. Bouajaja
King Khalid University
Faculty of Arts and Science Mha'l Asir
Saudi Arabia.
Email: laharouch@gmail.com
Université Sidi Mohammed Ben Abdellah
Faculté des Sciences DharMahraz
B.P 1796 Atlas Fčs,
Maroc.
Email: jbennouna@hotmail.com
Email: kadabouajaja@hotmail.com
Abstract:
We prove the existence and the regularity of minima for a functional defined on a suitable Sobolev space.
Paper's Title:
Optimization and Approximation for Polyhedra in Separable Hilbert Spaces
Author(s):
Paolo d'Alessandro
Department of Mathematics,
Third University of Rome,
Italy.
Email: pdalex45@gmail.com
Abstract:
This paper studies infinite dimensional polyhedra, covering the case in which range spaces of operators defining inequality systems are not closed. A rangespace method of linear programming is generalized to infinite dimensions and finite dimensional methods of approximation are introduced.
Paper's Title:
Some Grüss Type Inequalities in Inner Product Spaces
Author(s):
Sever S. Dragomir^{1,2}
^{1}Mathematics, School of Engineering
& Science
Victoria University, PO Box 14428
Melbourne City, MC 8001,
Australia
Email: sever.dragomir@vu.edu.au
^{2}School of Computer Science & Applied Mathematics,
University of the Witwatersrand,
Private Bag 3, Johannesburg 2050,
South Africa
URL: http://rgmia.org/dragomir
Abstract:
Some inequalities in inner product spaces that provide upper bounds for the quantities
and ,
where e,f ∈ H with and x,y are vectors in H satisfying some appropriate assumptions are given. Applications for discrete and integral inequalities are provided as well.
Paper's Title:
Inequalities for the Area Balance of Functions of Bounded Variation
Author(s):
Sever S. Dragomir^{1,2}
^{1}Mathematics, School of Engineering
& Science
Victoria University, PO Box 14428
Melbourne City, MC 8001,
Australia
Email: sever.dragomir@vu.edu.au
^{2}DSTNRF Centre of Excellence in the Mathematical and Statistical Sciences,
School of Computer Science & Applied Mathematics,
University of the Witwatersrand,
Private Bag 3, Johannesburg 2050,
South Africa
URL:
http://rgmia.org/dragomir
Abstract:
We introduce the area balance function associated to a Lebesgue
integrable function f:[a,b] →C by
Several sharp bounds for functions of bounded variation are provided. Applications for Lipschitzian and convex functions are also given.
Paper's Title:
Presentation a mathematical model for bone metastases control by using tamoxifen
Author(s):
Maryam Nikbakht, Alireza Fakharzadeh Jahromi and Aghileh Heydari
Department of Mathematics,
Payame Noor University,
P.O.Box 193953697, Tehran,
Iran.
.Email:
maryam_nikbakht@pnu.ac.ir
Department of Mathematics,
Faculty of Basic Science,
Shiraz University of Technology.
Email:
a_fakharzadeh@sutech.ac.ir
Department of Mathematics,
Payame Noor University,
P.O.Box 193953697, Tehran,
Iran.
Email: aheidari@pnu.ac.ir
Abstract:
Bone is a common site for metastases (secondary tumor) because of breast and prostate cancer. According to our evaluations the mathematical aspect of the effect of drug in bone metastases has not been studied yet. Hence, this paper suggested a new mathematical model for bone metastases control by using tamoxifen. The proposed model is a system of nonlinear partial differential equations. In this paper our purpose is to present a control model for bone metastases. At end by some numerical simulations, the proposed model is examined by using physician.
Paper's Title:
The boundedness of BesselRiesz operators on generalized Morrey spaces
Author(s):
Mochammad Idris, Hendra Gunawan and Eridani
Department of Mathematics,
Bandung Institute of Technology,
Bandung 40132,
Indonesia.
Email:
mochidris@students.itb.ac.id
Department of Mathematics,
Bandung Institute of Technology,
Bandung 40132,
Indonesia.
Email: hgunawan@math.itb.ac.id
URL:
http://personal.fmipa.itb.ac.id/hgunawan/
Department of Mathematics,
Airlangga University,
Surabaya 60115,
Indonesia.
Email: eridani.dinadewi@gmail.com
Abstract:
In this paper, we prove the boundedness of BesselRiesz operators on generalized Morrey spaces. The proof uses the usual dyadic decomposition, a Hedbergtype inequality for the operators, and the boundedness of HardyLittlewood maximal operator. Our results reveal that the norm of the operators is dominated by the norm of the kernels.
Paper's Title:
Strong Convergence Theorem for a Common Fixed Point of an Infinite Family of Jnonexpansive Maps with Applications
Author(s):
Charlse Ejike Chidume, Otubo Emmanuel Ezzaka and Chinedu Godwin Ezea
African University of Science and
Technology,
Abuja,
Nigeria.
Email:
cchidume@aust.edu.ng
Ebonyi State University,
Abakaliki,
Nigeria.
Email: mrzzaka@yahoo.com
Nnamdi Azikiwe University,
Awka,
Nigeria.
Email: chinedu.ezea@gmail.com
Abstract:
Let E be a uniformly convex and uniformly smooth real Banach space with dual space E^{*}. Let {T_{i}}^{∞}_{i=1} be a family of Jnonexpansive maps, where, for each i,~T_{i} maps E to 2^{E*}. A new class of maps, Jnonexpansive maps from E to E^{*}, an analogue of nonexpansive self maps of E, is introduced. Assuming that the set of common Jfixed points of {T_{i}}^{∞}_{i=1} is nonempty, an iterative scheme is constructed and proved to converge strongly to a point x^{*} in ∩^{∞}_{n=1}F_{J}T_{i}. This result is then applied, in the case that E is a real Hilbert space to obtain a strong convergence theorem for approximation of a common fixed point for an infinite family of nonexpansive maps, assuming existences. The theorem obtained is compared with some important results in the literature. Finally, the technique of proof is also of independent interest.
Paper's Title:
Ostrowski Type Fractional Integral Inequalities for Generalized (s,m,φ)preinvex Functions
Author(s):
Artion Kashuri and Rozana Liko
University of Vlora "Ismail Qemali",
Faculty of Technical Science,
Department of Mathematics, 9400,
Albania.
Email:
artionkashuri@gmail.com
Email: rozanaliko86@gmail.com
Abstract:
In the present paper, the notion of generalized (s,m,φ)preinvex function is introduced and some new integral inequalities for the left hand side of GaussJacobi type quadrature formula involving generalized (s,m,φ)preinvex functions along with beta function are given. Moreover, some generalizations of Ostrowski type inequalities for generalized (s,m,φ)preinvex functions via RiemannLiouville fractional integrals are established.
Paper's Title:
HermiteHadamard Type Inequalities for kRiemann Liouville Fractional Integrals Via Two Kinds of Convexity
Author(s):
R. Hussain^{1}, A. Ali^{2}, G. Gulshan^{3}, A. Latif^{4} and K. Rauf^{5}
^{1,2,3,4}Department
of Mathematics,
Mirpur University of Science and Technology, Mirpur.
Pakistan.
Email^{1}:
rashida12@gmail.com
Email^{2}:
unigraz2009@yahoo.com
Email^{3}:
ghazalagulshan@yahoo.com
Email^{4}:
asialatif87@gmail.com
^{5}Department
of Mathematics,
University of Ilorin, Ilorin,
Nigeria.
Email^{5}:
krauf@unilorin.edu.ng
Abstract:
In this article, a fundamental integral identity including the first order derivative of a given function via kRiemannLiouville fractional integral is established. This is used to obtain further HermiteHadamard type inequalities involving leftsided and rightsided kRiemannLiouville fractional integrals for mconvex and (s,m)convex functions respectively.
Paper's Title:
On Interpolation of L^{2} functions
Author(s):
Anis Rezgui
Department of Mathematics,
Faculty of Sciences,
Taibah University, Al Madina Al Munawara,
KSA.
Mathematics Department,
INSAT,
University of Carthage, Tunis,
Tunisia
Email: anis.rezguii@gmail.com
Abstract:
In this paper we are interested in polynomial interpolation of irregular functions namely those elements of L^{2}(R,μ) for μ a given probability measure. This is of course doesn't make any sense unless for L^{2} functions that, at least, admit a continuous version. To characterize those functions we have, first, constructed, in an abstract fashion, a chain of Sobolev like subspaces of a given Hilbert space H_{0}. Then we have proved that the chain of Sobolev like subspaces controls the existence of a continuous version for L^{2} functions and gives a pointwise polynomial approximation with a quite accurate error estimation.
Paper's Title:
MSplit Equality for Monotone Inclusion Problem and Fixed Point Problem in Real Banach Spaces
Author(s):
^{1,2}Christian Chibueze Okeke, ^{3}Abdumalik Usman Bello, ^{1}Chinedu Izuchukwu, and ^{1}Oluwatosin Temitope Mewomo
^{1}School
of Mathematics,
Statistics and Computer Science,
University of KwaZuluNatal, Durban,
South Africa.
Email: okekec@ukzn.ac.za
Email: izuchukwuc@ukzn.ac.za
Email: mewomoo@ukzn.ac.za
^{2}DSTNRF
Center of Excellence in Mathematical and Statistical Sciences (CoEMass)
Johannesburg,
South Africa.
^{3}Federal
University,
DutsinMa, Katsina State,
Nigeria.
Email:
uabdulmalik@fudutsinma.edu.ng
Abstract:
In this paper a new iterative algorithm for approximating a common solution of split equality monotone inclusion problem and split equality fixed point problem is introduced. Using our algorithm, we state and prove a strong convergence theorem for approximating an element in the intersection of the set of solutions of a split equality monotone inclusion problem and the set of solutions of a split equality fixed point problem for right Bregman strongly nonexpansive mappings in the setting of puniformly convex Banach spaces which are also uniformly smooth. We also give some applications.
Paper's Title:
Local Boundedness of Weak Solutions for Singular Parabolic Systems of pLaplacian Type
Author(s):
Corina Karim, Marjono
Department of Mathematics,
Universitas Brawijaya,
Indonesia.
Email: co_mathub@ub.ac.id,
marjono@ub.ac.id
Abstract:
We study the local boundedness of weak solutions for evolutional pLaplacian systems in the singular case. The initial data is belonging to Lebesgue space L^{∞} (0,T;W^{(1,p)} (Ω,R^{n} )). We use intrinsic scaling method to treat the boundedness of weak solutions. The main result is to make the local boundedness of weak solution for the systems wellworked in the intrinsic scaling.
Paper's Title:
Some Inequalities of the HermiteHadamard Type for kFractional Conformable Integrals
Author(s):
C.J. Huang, G. Rahman, K. S. Nisar, A. Ghaffar and F. Qi
Department of Mathematics, Ganzhou Teachers College,
Ganzhou 341000, Jiangxi,
China.
Email:
hcj73jx@126.com ,
huangcj1973@qq.com
Department of Mathematics, Shaheed Benazir
Bhutto University,
Sheringal, Upper Dir, Khyber Pakhtoonkhwa,
Pakistan.
Email: gauhar55uom@gmail.com
Department of Mathematics, College of Arts
and Science at Wadi Aldawaser, 11991,
Prince Sattam Bin Abdulaziz University, Riyadh Region,
Kingdom of Saudi Arabia.
Email: n.sooppy@psau.edu.sa,
ksnisar1@gmail.com
Department of Mathematical Science,
Balochistan University of Information Technology,
Engineering and Management Sciences, Quetta,
Pakistan.
Email: abdulghaffar.jaffar@gmail.com
School of Mathematical Sciences, Tianjin
Polytechnic University,
Tianjin 300387,
China; Institute of Mathematics,
Henan Polytechnic University, Jiaozuo 454010, Henan,
China.
Email: qifeng618@gmail.com,
qifeng618@qq.com
Abstract:
In the paper, the authors deal with generalized kfractional conformable integrals, establish some inequalities of the HermiteHadamard type for generalized kfractional conformable integrals for convex functions, and generalize known inequalities of the HermiteHadamard type for conformable fractional integrals.
Paper's Title:
On a subset of Bazilevic functions
Author(s):
Marjono and D. K. Thomas
Department of Mathematics,
Faculty of Mathematics and Natural Sciences,
Brawajaya University,
Malang, Jawa Timur 65145,
Indonesia.
Email: marjono@ub.ac.id
Department of Mathematics,
Swansea University, Singleton Park,
Swansea, SA2 8PP,
United Kingdom.
Email: d.k.thomas@swansea.ac.uk
Abstract:
Let S denote the class of analytic and univalent functions in of the form For α≥0, the subclass B_{1}α of S of Bazilevic functions has been extensively studied. In this paper we determine various properties of a subclass of B_{1}α, for α≥0 which extends early results of a class of starlike functions studied by Ram Singh.
Paper's Title:
Some New Mappings Related to Weighted Mean Inequalities
Author(s):
XiuFen Ma
College of Mathematical and Computer,
Chongqing Normal University Foreign Trade and Business College,
No.9 of Xuefu Road, Hechuan District 401520,
Chongqing City,
The People's Republic of China.
Email: maxiufen86@163.com
Abstract:
In this paper, we define four mappings related to weighted mean inequalities, investigate their properties, and obtain some new refinements of weighted mean inequalities.
Paper's Title:
Countable Ordinal Spaces and Compact Countable Subsets of a Metric Space
Author(s):
B. AlvarezSamaniego, A. Merino
Nucleo de Investigadores Cientificos
Facultad de Ciencias,
Universidad Central del Ecuador (UCE)
Quito,
Ecuador.
Email: borys_yamil@yahoo.com,
balvarez@uce.edu.ec
Escuela de Ciencias Fisicas y Matematica
Facultad de Ciencias Exactas y Naturales
Pontificia Universidad Catolica del Ecuador
Apartado: 17012184, Quito,
Ecuador.
Email: aemerinot@puce.edu.ec
Abstract:
We show in detail that every compact countable subset of a metric space is homeomorphic to a countable ordinal number, which extends a result given by Mazurkiewicz and Sierpinski for finitedimensional Euclidean spaces. In order to achieve this goal, we use Transfinite Induction to construct a specific homeomorphism. In addition, we prove that for all metric space, the cardinality of the set of all the equivalence classes, up to homeomorphisms, of compact countable subsets of this metric space is less than or equal to alephone. We also show that for all cardinal number smaller than or equal to alephone, there exists a metric space with cardinality equals the aforementioned cardinal number.
Paper's Title:
The Concept of Convergence for 2Dimensional Subspaces Sequence in Normed Spaces
Author(s):
M. Manuharawati, D. N. Yunianti, M. Jakfar
Mathematics Department, Universitas
Negeri Surabaya,
Jalan Ketintang Gedung C8,
Surabaya 60321,
Indonesia.
Email: manuharawati@unesa.ac.id,
dwiyunianti@unesa.ac.id,
muhammadjakfar@unesa.ac.id
Abstract:
In this paper, we present a concept of convergence of sequence, especially, of 2dimensional subspaces of normed spaces. The properties of the concept are established. As consequences of our definition in an inner product space, we also obtain the continuity property of the angle between two 2dimensional subspaces of inner product spaces.
Paper's Title:
Generalised Models for Torsional Spine Reconnection
Author(s):
Ali Khalaf Hussain AlHachami
Department of Mathematics,
College of Education For Pure Sciences,
Wasit University,
Iraq.
Email: alhachamia@uowasit.edu.iq
Abstract:
Threedimensional (3D) null points are available in wealth in the solar corona, and the equivalent is probably going to be valid in other astrophysical situations. Ongoing outcomes from sun oriented perceptions and from reproductions propose that reconnection at such 3D nulls may assume a significant job in the coronal dynamics. The properties of the torsional spine method of magnetic reconnection at 3D nulls are researched. Kinematic model are created, which incorporate the term ηJ that is spatially localised around the null, stretching out along the spine of the null. The null point is to research the impact of shifting the level of asymmetry of the null point magnetic field on the subsequent reconnection process where past examinations constantly considered a nonnonexclusive radially symmetric null. Specifically we analyse the rate of reconnection of magnetic flux at the spine of null point. Logical arrangements are determined for the enduring kinematic equation, and contrasted and the after effects of torsional spine reconnection models when the current is restricted in which the Maxwell conditions are illuminated. The geometry of the current layers inside which torsional spine reconnection happen is autonomous on the symmetry of the magnetic field. Torsional spine reconnection happens in a thin cylinder around the spine, with circular crosssegment when the fan eigenvalues are extraordinary. The short axis of the circle being along the solid field bearing. Just as it was discovered that the fundamental structure of the method of attractive reconnection considered is unaffected by changing the magnetic field symmetry, that is, the plasma flow is discovered rotational around the spine of null point. The spatiotemporal pinnacle current, and the pinnacle reconnection rate achieved, are found not to rely upon the level of asymmetry.
Paper's Title:
Composite VariationalLike Inequalities Given By Weakly Relaxed ζSemiPseudomonotone MultiValued Mapping
Author(s):
Syed Shakaib Irfan, Iqbal Ahmad, Zubair Khan and Preeti Shukla
College of Engineering, Qassim University
Buraidah, AlQassim,
Saudi Arabia.
Email: shakaib@qec.edu.sa
College of Engineering, Qassim University
Buraidah, AlQassim,
Saudi Arabia.
Email: iqbal@qec.edu.sa
Department of Mathematics,
Integral University Lucknow,
India.
Email: zkhan@iul.ac.in
Department of Mathematics,
Integral University Lucknow,
India.
Email: shuklapreeti1991@gmail.com
Abstract:
In this article, we introduce a composite variationallike inequalities with weakly relaxed ζpseudomonotone multivalued maping in reflexive Banach spaces. We obtain existence of solutions to the composite variationallike inequalities with weakly relaxed ζpseudomon otone multivalued maps in reflexive Banach spaces by using KKM theorem. We have also checked the solvability of the composite variationallike inequalities with weakly relaxed ζsemipseudomonotone multivalued maps in arbitrary Banach spaces using KakutaniFanGlicksberg fixed point theorem.
Paper's Title:
On The Degree of Approximation of Periodic Functions from Lipschitz and Those from Generalized Lipschitz Classes
Author(s):
Xhevat Z. Krasniqi
Faculty of Education,
University of Prishtina "Hasan Prishtina",
Avenue "Mother Theresa " no. 5, Prishtinë
10000,
Republic of Kosovo.
Email: xhevat.krasniqi@unipr.edu
Abstract:
In this paper we have introduced some new trigonometric polynomials. Using these polynomials, we have proved some theorems which determine the degree of approximation of periodic functions by a product of two special means of their Fourier series and the conjugate Fourier series. Many results proved previously by others are special case of ours.
Paper's Title:
Evaluation of a New Class of Double Integrals Involving Generalized Hypergeometric Function _{4}F_{3}
Author(s):
Joohyung Kim, Insuk Kim and Harsh V. Harsh
Department of Mathematics Education,
Wonkwang University, Iksan, 570749,
Korea.
Email: joohyung@wku.ac.kr
Department of Mathematics Education,
Wonkwang University, Iksan, 570749,
Korea.
Email: iki@wku.ac.kr
Department of Mathematics, Amity School
of Eng. and Tech.,
Amity University Rajasthan
NH11C, Jaipur303002, Rajasthan,
India.
Email: harshvardhanharsh@gmail.com
Abstract:
Very recently, Kim evaluated some double integrals involving a generalized hypergeometric function _{3}F_{2} with the help of generalization of Edwards's wellknown double integral due to Kim, et al. and generalized classical Watson's summation theorem obtained earlier by Lavoie, et al. In this research paper we evaluate one hundred double integrals involving generalized hypergeometric function _{4}F_{3} in the form of four master formulas (25 each) viz. in the most general form for any integer. Some interesting results have also be obtained as special cases of our main findings.
Paper's Title:
Existence of Compositional Square Roots of Circle Maps
Author(s):
K. Ali Akbar and T. Mubeena
Department of Mathematics,
School of Physical Sciences,
Central University of Kerala,
Periya  671320,
Kasaragod,
Kerala,
India.
Email: aliakbar.pkd@gmail.com,
aliakbar@cukerala.ac.in
Department of Mathematics,
School of Mathematics and Computational Sciences,
University of Calicut,
Thenhipalam673635,
Malappuram,
Kerala,
India.
Email: mubeenatc@gmail.com,
mubeenatc@uoc.ac.in
Abstract:
In this paper, we discuss the existence of compositional square roots of circle maps. If f and g are two maps such that g ○ g = f, we say that g is a compositional square root of f.
Paper's Title:
On the Class of Totally Polynomially Posinormal Operators
Author(s):
E. Shine Lal, T. Prasad, P. Ramya
Department of Mathematics,University
College,
Thiruvananthapuram, Kerala, 695034.
India.
Email: shinelal.e@gmail.com
Department of Mathematics,
University of Calicut,
Malapuram, Kerala 673635,
India.
Email: prasadvalapil@gmail.com
Department of Mathematics,
N.S.S College,
Nemmara, Kerala, 678508
India.
Email: ramyagcc@gmail.com
Abstract:
In this paper, we proved that if T ∈ B(H) is totally Pposinormal operator with . Moreover, we study spectral continuity and range kernel orthogonality of these class of operators.
Paper's Title:
Topological Aspects of Discrete Switch Dynamical Systems
Author(s):
Faiz Imam and Sharan Gopal
Department of Mathematics,
BITS  Pilani, Hyderabad Campus,
India.
Email: mefaizy@gmail.com
Department of Mathematics,
BITS  Pilani, Hyderabad Campus,
India.
Email: sharanraghu@gmail.com
ABSTRACT NOT FOUND. WEBSITE ERROR
Abstract:
Paper's Title:
Differential Equations for Indicatrices, Spacelike and Timelike Curves
Author(s):
Sameer, Pradeep Kumar Pandey
Department of Mathematics,
Jaypee University of Information Technology,
Solan, Himachal Pradesh,
India.
Email: sksameer08@gmail.com,
pandeypkdelhi@gmail.com
Abstract:
Motivated by the recent work of Deshmukh et al. [20], in this paper we show that Tangent, Binormal, and Principal Normal indicatrices do not form nontrivial differential equations. Finally, we obtain the 4thorder differential equations for spacelike and timelike curves.
Paper's Title:
FeketeSzegö Inequality for Certain Class of Analytic Functions
Author(s):
V. Ravichandran, Maslina Darus, M. Hussain Khan, and K. G. Subramanian
School of
Mathematical Sciences, Universiti Sains Malaysia,
11800 Usm, Penang, Malaysia
vravi@cs.usm.my
School of
Mathematical Sciences, Faculty of Sciences and Technology,
Ukm, Banki 43600, Malaysia
maslina@pkrisc.cc.ukm.my
Department of
Mathematics, Islamiah College,
Vaniambadi 635 751, India
Department of
Mathematics, Madras Christian College, Tambaram,
Chennai 600 059, India
kgsmani@vsnl.net
Abstract:
In this present investigation, the authors obtain FeketeSzegö inequality for a certain class of analytic functions f(z) for which lies in a region starlike with respect to 1 and symmetric with respect to the real axis. Also certain application of our main result for a class of functions defined by Hadamard product (convolution) is given. As a special case of our result we obtain FeketeSzegö inequality for a class of functions defined through fractional derivatives. Also we obtain FeketeSzegö inequality for the inverse functions.
Paper's Title:
Positive Solutions of Evolution Operator Equations
Author(s):
Radu Precup
Department of Applied Mathematics,
BabesBolyai University,
Cluj, Romania
Abstract:
Existence and localization results are derived from Krasnoselskii’s compressionexpansion fixed point theorem in cones, for operator equations in spaces of continuous functions from a compact real interval to an abstract space. The main idea, first used in [12], is to handle two equivalent operator forms of the equation, one of fixed point type giving the operator to which Krasnoselskii’s theorem applies and an other one of coincidence type which is used to localize a positive solution in a shell. An application is presented for a boundary value problem associated to a fourth order partial differential equation on a rectangular domain.
Paper's Title:
General Oscillations for Some Third Order Differential Systems with Nonlinear Acceleration Term
Author(s):
Awar Simon Ukpera
Department of Mathematics,
Obafemi Awolowo University,
IleIfe,
Nigeria.
aukpera@oauife.edu.ng
Abstract:
We generate some general nonuniform hypotheses for third order differential systems of the form X''' +F(t,X'' )+BX'+CX = P(t), in which B and C are not necessarily constant matrices. Some results requiring sharp conditions on this system have recently been published by the author in [5]. This work however examines more closely crucial properties associated with the generalised nature of the nonlinear acceleration term F, which were largely overlooked in the earlier paper.
Paper's Title:
Two Mappings Related to Steffensen's Inequalities
Author(s):
LiangCheng Wang
School of Mathematical Science,
Chongqing Institute of Technology,
Xingsheng Lu 4,
Yangjiaping 400050, Chongqing City,
China.
wangliangcheng@163.com
Abstract:
In this paper, we define two mappings closely connected with Steffensen's inequalities, investigate their main properties, give some refinements for Steffensen's inequalities and obtain new inequalities.
Paper's Title:
An Easy and Efficient Way for Solving A class of Singular Two Point Boundary Value Problems
Author(s):
Muhammed I. Syam, Muhammed N. Anwar and Basem S. Attili
Mathematical Sciences Department
United Arab Emirates University, P. O. Box 17551
AlAin, United Arab Emirates
b.attili@uaeu.ac.ae
Abstract:
We will consider an efficient and easy way for solving a certain class of singular two point boundary value problems. We will employ the least squares method which proved to be efficient for this type of problems. Enough examples that were considered by others will be solved with comparison with the results presented there.
Paper's Title:
On a Generalized Biharmonic Equation in Plane Polars with Applications to Functionally Graded Materials
Author(s):
Ciro D'Apice
Department of Information Engineering and Applied Mathematics (DIIMA),
University of Salerno, 84084 Fisciano (SA),
Salerno, Italy.
dapice@diima.unisa.it
Abstract:
In this paper we consider a generalized biharmonic equation modelling a twodimensional inhomogeneous elastic state in the curvilinear rectangle _{}_{} where _{} denote plane polar coordinates. Such an archlike region is maintained in equilibrium under selfequilibrated traction applied on the edge _{} while the other three edges _{}_{} and _{} are traction free. Our aim is to derive some explicit spatial exponential decay bounds for the specific Airy stress function and its derivatives. Two types of smoothly varying inhomogeneity are considered: (i) the elastic moduli vary smoothly with the polar angle, (ii) they vary smoothly with the polar distance. Such types of smoothly varying inhomogeneous elastic materials provide a model for technological important functionally graded materials. The results of the present paper prove how the spatial decay rate varies with the constitutive profile.
Paper's Title:
pvalent Meromorphic Functions Involving Hypergeometric and Koebe Functions by Using Differential Operator
Author(s):
S. Najafzadeh, S. R. Kulkarni and G. Murugusundaramoorthy
Department of Mathematics,
Fergusson College, Pune University,
Pune  411004,
India.
Najafzadeh1234@yahoo.ie
kulkarni_ferg@yahoo.com
School of Science and Humanities,
Vellore Institute of Technology, Deemed University,
Vellore  632014,
India.
gmsmoorthy@yahoo.com
Abstract:
New classes of multivalent meromorphic functions involving hypergeometric and Koebe functions are introduced,we find some properties of these classes e.g. distortion bounds, radii of starlikeness and convexity, extreme points, Hadamard product and verify effect of some integral operator on members of these classes.
Paper's Title:
On Vector Variational Inequality Problem in Terms of Bifunctions
Author(s):
C. S. Lalitha and Monika Mehta
Department of Mathematics, Rajdhani College,
University of Delhi, Raja Garden,
Delhi 110015, India
cslalitha@rediffmail.com
Department of Mathematics, Satyawati College,
University Of Delhi, Ashok Vihar,
PhaseIII, Delhi 110052, India
mridul_in@yahoo.com
Abstract:
In this paper, we consider a generalized vector variational inequality problem expressed in terms of a bifunction and establish existence theorems for this problem by using the concepts of cone convexity and cone strong quasiconvexity and employing the celebrated Fan's Lemma. We also give two types of gap functions for this problem.
Paper's Title:
On Positive Entire Solutions of Second Order Quasilinear Elliptic Equations
Author(s):
Zuodong Yang and Honghui Yin
Institute of Mathematics, School of Mathematics and Computer Science,
Nanjing Normal University, Jiangsu Nanjing 210097,
China;
zdyang_jin@263.net
Department of Mathematics, Huaiyin Teachers College,
Jiangsu Huaian 223001,
China;
School of Mathematics and Computer Sciences,
Nanjing Normal University, Jiangsu Nanjing 210097,
China.
yin_hh@sina.com
Abstract:
In this paper, our main purpose is to establish the existence theorem of positive entire solutions of second order quasilinear elliptic equations under new conditions. The main results of the present paper are new and extend the previously known results.
Paper's Title:
A Wallis Type Inequality and a Double Inequality for Probability Integral
Author(s):
Jian Cao, DaWei Niu and Feng Qi
School of Mathematics and Informatics,
Henan Polytechnic University, Jiaozuo City,
Henan Province, 454010,
China
21caojian@163.com
School of Mathematics and Informatics,
Henan Polytechnic University, Jiaozuo City,
Henan Province, 454010,
China
nnddww@tom.com
Research Institute of Mathematical Inequality Theory,
Henan Polytechnic University, Jiaozuo City,
Henan Province, 454010,
China
qifeng@hpu.edu.cn
fengqi618@member.ams.org
qifeng618@hotmail.com
qifeng618@msn.com
qifeng618@qq.com
URL: http://rgmia.vu.edu.au/qi.html
Abstract:
In this short note, a Wallis type inequality with the best upper and lower bounds is established. As an application, a double inequality for the probability integral is found.
Paper's Title:
1type PseudoChebyshev Subspaces in Generalized 2normed Spaces
Author(s):
Sh. Rezapour
Department of Mathematics, Azarbaijan University of Tarbiat Moallem,
Azarshahr, Tabriz,
Iran
sh.rezapour@azaruniv.edu
Abstract:
We construct a generalized 2normed space from every normed space. We introduce 1type pseudoChebyshev subspaces in generalized 2normed spaces and give some results in this field.
Paper's Title:
A New Step Size Rule in Noor's Method for Solving General Variational Inequalities
Author(s):
Abdellah Bnouhachem
School of Management Science and Engineering, Nanjing University,
Nanjing, 210093
P.R. China.
babedallah@yahoo.com
Abstract:
In this paper, we propose a new step size rule in Noor's method for solving general variational inequalities. Under suitable conditions, we prove that the new method is globally convergent. Preliminary numerical experiments are included to illustrate the advantage and efficiency of the proposed method.
Paper's Title:
Generalizations of HermiteHadamard's Inequalities for LogConvex Functions
Author(s):
AiJun Li
School of Mathematics and Informatics,
Henan Polytechnic University,
Jiaozuo City, Henan Province,
454010, China.
liaijun72@163.com
Abstract:
In this article, HermiteHadamard's inequalities are extended in terms of the weighted power mean and logconvex function. Several refinements, generalizations and related inequalities are obtained.
Paper's Title:
Normalized Truncated Levy models applied to the study of Financial Markets
Author(s):
M. C. Mariani, K. Martin, D. W. Dombrowski and D. Martinez
Department of Mathematical Sciences and Department of Finance,
New Mexico State University, P.O. Box 30001
Department 3MB Las Cruces, New Mexico 880038001
USA.
mmariani@nmsu.edu
kjmartin@nmsu.edu
Abstract:
This work is devoted to the study of the statistical properties of financial instruments from developed markets. We performed a new analysis of the behavior of companies corresponding to the DJIA index, and of the index itself, by using a normalized Truncated Levy walk model. We conclude that the Truncated Levy distribution describes perfectly the evolution of the companies and of the index near a crash.
Paper's Title:
The Convergence of Modified MannIshikawa Iterations when Applied to an Asymptotically Pseudocontractive Map
Author(s):
S. Soltuz
Departamento de Matematicas, Universidad de Los Andes, Carrera 1
No. 18A10, Bogota,
Colombia
and
``T. Popoviciu" Institute of Numerical Analysis
ClujNapoca,
Romania
smsoltuz@gmail.com
URL:http://www.uniandes.edu.co/
Abstract:
We prove that under minimal conditions the modified Mann and Ishikawa iterations converge when dealing with an asymptotically pseudocontractive map. We give an affirmative answer to the open question from C.E. Chidume and H. Zegeye, Approximate fixed point sequences and convergence theorems for asymptotically pseudocontractive mappings, J. Math. Anal. Appl., 278 (2003), 354366.
Paper's Title:
FeketeSzegö Problem for Univalent Functions with Respect to kSymmetric Points
Author(s):
K. AlShaqsi and M. Darus
School of Mathematical Sciences, Faculty of Science and Technology,
University Kebangsaan Malaysia,
Bangi 43600 Selangor D. Ehsan,
Malaysia
ommath@hotmail.com
maslina@ukm.my
Abstract:
In the present investigation, sharp upper bounds of a_{3} μa_{2}^{2} for functions f(z) = z + a_{2}z^{2} + a_{2}z^{3} + ... belonging to certain subclasses of starlike and convex functions with respect to ksymmetric points are obtained. Also certain applications of the main results for subclasses of functions defined by convolution with a normalized analytic function are given. In particular, Fekete Szegö inequalities for certain classes of functions defined through fractional derivatives are obtained.
Paper's Title:
Linearly Transformable Minimal Surfaces
Author(s):
Harold R. Parks and Walter B. Woods
Department of Mathematics,
Oregon State University,
Corvallis, Oregon 973314605,
USA
parks@math.oregonstate.edu
URL: http://www.math.oregonstate.edu/people/view/parks/
Abstract:
We give a complete description of a nonplanar minimal surface in R^{3} with the surprising property that the surface remains minimal after mapping by a linear transformation that dilates by three distinct factors in three orthogonal directions. The surface is defined in closed form using Jacobi elliptic functions.
Paper's Title:
A Fixed Point Approach to
the Stability of the Equation
Author(s):
SoonMo Jung
Mathematics Section, College of Science and Technology
HongIk
University, 339701 Chochiwon
Republic of Korea.
smjung@hongik.ac.kr
Abstract:
We will apply a fixed point method for proving the HyersUlam stability of the functional equation .
Paper's Title:
Fixed Points and Stability of the Cauchy Functional Equation
Author(s):
Choonkil Park and Themistocles M. Rassias
Department of Mathematics, Hanyang University,
Seoul 133791,
Republic of Korea
Department of Mathematics,
National Technical University of Athens,
Zografou Campus, 15780 Athens,
Greece
baak@hanyang.ac.kr
trassias@math.ntua.gr
Abstract:
Using fixed point methods, we prove the generalized HyersUlam stability of homomorphisms in Banach algebras and of derivations on Banach algebras for the Cauchy functional equation.
Paper's Title:
Hyperbolic Barycentric Coordinates
Author(s):
Abraham A. Ungar
Department of Mathematics, North Dakota State University,
Fargo, ND 58105,
USA
Abraham.Ungar@ndsu.edu
URL: http://math.ndsu.nodak.edu/faculty/ungar/
Abstract:
A powerful and novel way to study Einstein's special theory of relativity and its underlying geometry, the hyperbolic geometry of Bolyai and Lobachevsky, by analogies with classical mechanics and its underlying Euclidean geometry is demonstrated. The demonstration sets the stage for the extension of the notion of barycentric coordinates in Euclidean geometry, first conceived by Möbius in 1827, into hyperbolic geometry. As an example for the application of hyperbolic barycentric coordinates, the hyperbolic midpoint of any hyperbolic segment, and the centroid and orthocenter of any hyperbolic triangle are determined.
Paper's Title:
On some Strongly Nonlinear Elliptic Problems in Lądata with a Nonlinearity Having a Constant Sign in Orlicz Spaces via Penalization Methods
Author(s):
E. Azroul, A. Benkirane and M. Rhoudaf
Dep. Math., Faculté des Sciences
DharMahraz,
B.P 1796 Atlas Fčs,
Maroc
Departement of Mathematics,
Faculty of Sciences and Techniques of Tangier,
B.P. 416, Tangier,
Morocco.
rhoudaf_mohamed@yahoo.fr
Abstract:
This paper is concerned with the existence result of the
unilateral problem associated to the equations of the type
in Orlicz spaces, without
assuming the sign condition in the nonlinearity g. The source term f belongs to Lą(Ώ).
Paper's Title:
Ellipses of Minimal Area and of Minimal Eccentricity Circumscribed About a Convex Quadrilateral
Author(s):
Alan Horwitz
Penn State University,
25 Yearsley Mill Rd.,
Media, PA 19063,
U.S.A
alh4@psu.edu
Abstract:
First, we fill in key gaps in Steiner's nice characterization of the most nearly circular ellipse which passes through the vertices of a convex quadrilateral, . Steiner proved that there is only one pair of conjugate directions, M_{1} and M_{2}, that belong to all ellipses of circumscription. Then he proves that if there is an ellipse, E, whose equal conjugate diameters possess the directional constants M_{1} and M_{2}, then E must be an ellipse of circumscription which has minimal eccentricity. However, Steiner does not show the existence or uniqueness of such an ellipse. We prove that there is a unique ellipse of minimal eccentricity which passes through the vertices of . We also show that there exists an ellipse which passes through the vertices of and whose equal conjugate diameters possess the directional constants M_{1} and M_{2}. We also show that there exists a unique ellipse of minimal area which passes through the vertices of . Finally, we call a convex quadrilateral, , bielliptic if the unique inscribed and circumscribed ellipses of minimal eccentricity have the same eccentricity. This generalizes the notion of bicentric quadrilaterals. In particular, we show the existence of a bielliptic convex quadrilateral which is not bicentric.
Paper's Title:
Improvement of Jensen's Inequality for Superquadratic Functions
Author(s):
S. Abramovich, B. Ivanković, and J. Pečarić
Department of Mathematics,
University of Haifa,
Haifa 31905,
Israel.
abramos@math.haifa.ac.il
Faculty of Transport and
Trafic Engineering,
University of Zagreb,
Vukelićeva 4, 10000,
Croatia
bozidar.ivankovic@zg.tcom.hr
Faculty of Textile,
University of Zagreb,
Prilaz Baruna Filipovića 30, 10000 Zagreb,
Croatia
pecaric@element.hr
Abstract:
Since 1907, the famous Jensen's inequality has been refined in different manners. In our paper, we refine it applying superquadratic functions and separations of domains for convex functions. There are convex functions which are not superquadratic and superquadratic functions which are not convex. For superquadratic functions which are not convex we get inequalities analogue to inequalities satisfied by convex functions. For superquadratic functions which are convex (including many useful functions) we get refinements of Jensen's inequality and its extensions.
Paper's Title:
On a Class of Uniformly Convex Functions Defined by Convolution with Fixed Coefficient
Author(s):
T. N. Shanmugam, S. Sivasubramanian, and G. Murugusundaramoorthy
Department of Mathematics,
College of Engineering,
Anna University,
Chennai  600 025,
India.
drtns2001@yahoo.com
Department of Mathematics,
University College of Engineering,
Tindivanam
Anna UniversityChennai,
Saram604 703,
India.
sivasaisastha@rediffmail.com
School of Sciences and Humanities,
VIT University, Vellore632 014,
India.
gmsmoorthy@yahoo.com
Abstract:
We define a new subclass of uniformly convex functions with negative and fixed second coefficients defined by convolution. The main object of this paper is to obtain coefficient estimates distortion bounds, closure theorems and extreme points for functions belong to this new class . The results are generalized to families with fixed finitely many coefficients.
Paper's Title:
The Superstability of the Pexider Type Trigonometric Functional Equation
Author(s):
Gwang Hui Kim and Young Whan Lee
Department of Mathematics, Kangnam
University Yongin, Gyeonggi, 446702, Korea.
ghkim@kangnam.ac.kr
Department of Computer and Information Security
Daejeon University, Daejeon 300716, Korea.
ywlee@dju.ac.kr
Abstract:
The aim of this paper is to investigate the stability
problem for
the Pexider type (hyperbolic) trigonometric functional equation
f(x+y)+f(x+σy)=λg(x)h(y) under the conditions :
f(x+y)+f(x+σy) λg(x)h(y)≤φ(x),
φ(y), and min {φ(x), φ (y)}.
As a consequence, we have generalized the results of stability for
the cosine(d'Alembert), sine, and the Wilson functional equations by J.
Baker, P. Găvruta, R. Badora and R. Ger, Pl.~Kannappan, and G.
H. Kim
Paper's Title:
The Square Number by the Approximation
Author(s):
Masaki Hisasue
Asahikawa Fuji Girls' High School
Asahikawa Hanasakicho 63899
Hokkaido, Japan
masaki@fuji.ed.jp
Abstract:
In this paper, we give square numbers by using the solutions of Pell's equation.
Paper's Title:
Hardy Type Inequalities via Convexity  The Journey so Far
Author(s):
James A.
Oguntuase and LarsErik Persson
Department of Mathematics,
University of Agriculture,
P. M. B. 2240, Abeokuta, Nigeria.
Department of
Mathematics, Luleĺ University of Technology,
SE971 87, Luleĺ , Sweden.
oguntuase@yahoo.com,
larserik@sm.luth.se .
Abstract:
It is nowadays wellknown that Hardy's inequality (like many other inequalities) follows directly from Jensen's inequality. Most of the development of Hardy type inequalities has not used this simple fact, which obviously was unknown by Hardy himself and many others. Here we report on some results obtained in this way mostly after 2002 by mainly using this fundamental idea.
Paper's Title:
On an Elliptic OverDetermined Problem in Dimension Two
Author(s):
Lakhdar Ragoub
Department of Mathematics and Information of Tiyadhechnology
AL Yamamah University
P.O. Box 45 180, Riyadh 11 512
Saudi Arabia.
Abstract:
We extend the method of Weinberger for a
nonlinear overdetermined elliptic problem
in R^{2}.
We prove that the domain in consideration is a ball. The
tool of this investigation are maximum principles and Pfunctions.
Paper's Title:
Bounds for Two Mappings Associated to the HermiteHadamard Inequality
Author(s):
S. S. Dragomir^{1,2} and I. Gomm^{1}
^{1}Mathematics, School of Engineering & Science,
Victoria University,
PO Box 14428,
Melbourne City, MC 8001,
Australia.
^{2}School of Computational & Applied Mathematics,
University of
the Witwatersrand,
Private Bag 3, Johannesburg 2050,
South Africa.
sever.dragomir@vu.edu.au
ian.gomm@vu.edu.au
URL: http://rgmia.org/dragomir
Abstract:
Some inequalities concerning two mappings associated to the celebrated HermiteHadamard integral inequality for convex function with applications for special means are given.
Paper's Title:
Ulam Stability of Reciprocal Difference and Adjoint Functional Equations
Author(s):
K. Ravi, J. M. Rassias and B. V. Senthil Kumar
Department of Mathematics,
Sacred Heart College, Tirupattur  635601,
India
Pedagogical Department E. E.,
Section of Mathematics and Informatics,
National and Capodistrian University of Athens,
4, Agamemnonos Str., Aghia Paraskevi,
Athens, Attikis 15342,
GREECE
Department of Mathematics,
C.Abdul Hakeem College of Engineering and
Technology, Melvisharam  632 509, India
shckavi@yahoo.co.in
jrassias@primedu.uoa.gr
bvssree@yahoo.co.in
Abstract:
In this paper, the reciprocal difference functional equation (or RDF equation) and the reciprocal adjoint functional equation (or RAF equation) are introduced. Then the pertinent Ulam stability problem for these functional equations is solved, together with the extended Ulam (or Rassias) stability problem and the generalized Ulam (or UlamGavrutaRassias) stability problem for the same equations.
Paper's Title:
Growth and Products of Subharmonic Functions in the Unit Ball
Author(s):
R. Supper
Université de Strasbourg,
UFR de Mathématique et Informatique, URA CNRS 001,
7 rue René Descartes,
F67 084 Strasbourg Cedex,
France
raphaele.supper@math.unistra.fr
Abstract:
The purpose of this paper is to link information on the application u→gu with some growth conditions on the functions u and g subharmonic in the unit ball of R^{N}. Two kinds of growth are considered: the Blochtype growth and growth conditions expressed through integrals involving involutions of the unit ball.
Paper's Title:
Equivalence of the Nonsmooth Nonlinear Complementarity Problems to Unconstrained Minimization
Author(s):
M. A. Tawhid and J. L. Goffin
Department of Mathematics and Statistics,
School of Advanced Technologies and Mathematics,
Thompson Rivers University,
900 McGill Road, PO Box 3010, Kamloops, BC V2C 5N3
Canada
Alexandria University and Egypt Japan University of Science and Technology,
AlexandriaEgypt
mtawhid@tru.ca
Faculty of Management, McGill University,
1001 Sherbrooke Street West, Montreal, Quebec, H3A 1G5
Canada.
JeanLouis.Goffin@McGill.ca
Abstract:
This paper deals with nonsmooth nonlinear complementarity problem, where the underlying functions are nonsmooth which admit the Hdifferentiability but not necessarily locally Lipschitzian or directionally differentiable. We consider a reformulation of the nonlinear complementarity problem as an unconstrained minimization problem. We describe Hdifferentials of the associated penalized FischerBurmeister and Kanzow and Kleinmichel merit functions. We show how, under appropriate P_{0}, semimonotone (E_{0}), P, positive definite, and strictly semimonotone (E) conditions on an Hdifferential of f, finding local/global minimum of a merit function (or a `stationary point' of a merit function) leads to a solution of the given nonlinear complementarity problem. Our results not only give new results but also unify/extend various similar results proved for C^{1}.
Paper's Title:
On Generalization of Hardytype Inequalities
Author(s):
K. Rauf, S. Ponnusamy and J. O. Omolehin
Department of Mathematics,
University of Ilorin, Ilorin,
Nigeria
krauf@unilorin.edu.ng
Department of Mathematics,
Indian Institute of Technology Madras,
Chennai 600 036,
India
samy@iitm.ac.in
Department of Mathematics,
University of Ilorin, Ilorin,
Nigeria
omolehin_joseph@yahoo.com
Abstract:
This paper is devoted to some new generalization of Hardytype integral inequalities and the reversed forms. The study is to determine conditions on which the generalized inequalities hold using some known hypothesis. Improvement of some inequalities are also presented.
Paper's Title:
Necessary and Sufficient Conditions for Cyclic Homogeneous Polynomial Inequalities of Degree Four in Real Variables
Author(s):
Vasile Cirtoaje and Yuanzhe Zhou
Department of Automatic Control and Computers
University of Ploiesti
Romania.
vcirtoaje@upgploiesti.ro.
High School Affiliated to Wuhan University, China
Abstract:
In this paper, we give two sets of necessary and sufficient conditions that the inequality f_{4}(x,y,z) ≥ 0 holds for any real numbers x,y,z, where f_{4}(x,y,z) is a cyclic homogeneous polynomial of degree four. In addition, all equality cases of this inequality are analysed. For the particular case in which f_{4}(1,1,1)=0, we get the main result in [3]. Several applications are given to show the effectiveness of the proposed methods.
Paper's Title:
On Generalized Triangle Inequality in pFreéchet Spaces, 0<p<1
Author(s):
M. A. Latif
Department of Mathematics,
University of Hail, Hail,
Saudi Arabia
m_amer_latif@hotmail.com
Abstract:
In this paper generalized triangle inequality and its reverse in a pFréchet space where, 0<p<1 are obtained.
Paper's Title:
Further Bounds for Two Mappings Related to the HermiteHadamard Inequality
Author(s):
S. S. Dragomir^{1,2} and I. Gomm^{1}
^{1}Mathematics, School of Engineering & Science,
Victoria University,
PO Box 14428,
Melbourne City, MC 8001,
Australia.
^{2}School of Computational & Applied Mathematics,
University of
the Witwatersrand,
Private Bag 3, Johannesburg 2050,
South Africa.
sever.dragomir@vu.edu.au
ian.gomm@vu.edu.au
URL: http://rgmia.org/dragomir
Abstract:
Some new results concerning two mappings associated to the celebrated HermiteHadamard integral inequality for twice differentiable functions with applications for special means are given.
Paper's Title:
Solution of Inequalities with PowerExponential Functions by Cîrtoaje
Author(s):
Masaki Hisasue
Asahikawa fuji girls' high school,
Asahikawa Hanasakicho 63899, Hokkaido,
Japan
Abstract:
In this paper, we prove the open inequality a^{2b}+b^^{2a} < 1 for all nonnegative real numbers a and b such that a+b=1.
Paper's Title:
Harmonic Functions with Positive Real Part
Author(s):
Sďbel Yalçin
Uludag Universitesi,
Fen Edebiyat Fakultesi, Matematik Bolumu,
16059 Bursa,
Turkey
Abstract:
In this paper, the class of harmonic functions f=h+{g} with positive real part and normalized by f(ζ )=1, (ζ<1) is studied, where h and g are analytic in U={z:z<1}. Some properties of this class are searched. Sharp coefficient relations are given for functions in this class. On the other hand, the author make use of Alexander integral transforms of certain analytic functions (which are starlike with respect to f(ζ)) with a view to investigating the construction of sense preserving, univalent and close to convex harmonic functions.
Paper's Title:
TraubPotraType Method for SetValued Maps
Author(s):
Ioannis K. Argyros and Saďd Hilout
Cameron University,
Department of Mathematics Sciences,
Lawton, OK 73505,
USA
URL: http://www.cameron.edu/~ioannisa/
Poitiers University,
Laboratoire de Mathematiques et Applications,
Bd. Pierre et Marie Curie, Teleport 2, B.P. 30179,
86962 Futuroscope Chasseneuil Cedex,
France
said.hilout@math.univpoitiers.fr
http://wwwmath.univpoitiers.fr/~hilout/
Abstract:
We introduce a new iterative method for approximating a locally unique solution of variational inclusions in Banach spaces by using generalized divided differences of the first order. This method extends a method considered by Traub (in the scalar case) and by Potra (in the Banach spaces case) for solving nonlinear equations to variational inclusions. An existenceconvergence theorem and a radius of convergence are given under some conditions on divided differences operator and Lipschitzlike continuity property of setvalued mappings. The Rorder of the method is equal to the unique positive root of a certain cubic equation, which is $1.839..., and as such it compares favorably to related methods such as the Secant method which is only of order $1.618....
Paper's Title:
Some Functional Inequalities for the Geometric Operator Mean
Author(s):
Mustapha Raissouli
Taibah University, Faculty of Sciences,
Department of Mathematics,
Al Madinah Al Munawwarah, P.O.Box 30097,
Kingdom of Saudi Arabia.
Abstract:
In this paper, we give some new inequalities of functional type for the power geometric operator mean involving several arguments.
Paper's Title:
Some Applications of Fejér's Inequality for Convex Functions (I)
Author(s):
S.S. Dragomir^{1,2} and I. Gomm^{1}
^{1}Mathematics, School of
Engineering & Science
Victoria University, PO Box 14428
Melbourne City, MC 8001,
Australia.
URL: http://rgmia.org/dragomir
^{2}School of Computational &
Applied Mathematics,
University of the Witwatersrand,
Private Bag 3, Johannesburg 2050,
South Africa.
Abstract:
Some applications of Fejér's inequality for convex functions are explored. Upper and lower bounds for the weighted integral
under various assumptions for f with applications to the trapezoidal quadrature rule are given. Some inequalities for special means are also provided
Paper's Title:
Schwarz Method for Variational Inequalities Related to Ergodic Control Problems
Author(s):
S. Saadi, H. Mécheri
Department of Mathematics, Badji Mokhtar
University, Annaba 23000,
P.O.Box. 12, Annaba 23000, Algeria
Abstract:
In this paper, we study variational inequalities related to ergodic control problems studied by M. Boulbrachčne and H. Sissaoui [11], where the "discount factor" (i.e., the zero order term) is set to 0, we use an overlapping Schwarz method on nomatching grid which consists in decomposing the domain in two subdomains. For α ∈ ]0.1[ we provide the discretization on each subdomain converges in L^{∞} norm.
Paper's Title:
Uniform Continuity and kConvexity
Author(s):
Adel Afif Abdelkarim
Mathematics Department, Faculty of Science,
J
erash University, Jerash
Jordan.
Abstract:
A closed arcwiseconnected subset A of R^{n} is called kconvex if for each positive number a and for all elements x and y in A there is a positive number b such that if the norm of xy is less than or equal to b then the length of the shortest curve l(x,y) in A is less than k times the norm of xy plus a. We show that a union of two non disjoint closed finite convex subsets need not be kconvex. Let f(x) be a uniformly continuous functions on a finite number of closed subsets A_{1},...,A_{n} of R^{n} such that the union of A_{j},...,A_{n},j=1,...,n1 is kconvex. We show that f is uniformly continuous on the union of the sets A_{i},i=1,...,n. We give counter examples if this condition is not satisfied. As a corollary we show that if f(x) is uniformly continuous on each of two closed convex sets A,B then f(x) is uniformly continuous on the union of A and B.
Paper's Title:
A_{p} Functions and Maximal Operator
Author(s):
Chunping Xie
Department of Mathematics,
Milwaukee School of Engineering,
1025 N. Broadway,
Milwaukee, Wisconsin 53202,
U. S. A.
Email: xie@msoe.edu
URL: http://www.msoe.edu/people/chunping.xie
Abstract:
The relationship between A_{p} functions and HardyLittlewood maximal operator on L^{p,λ}(w), the weighted Morrey space, has been studied. Also the extropolation theorem of L^{p,λ}(w) has been considered.
Paper's Title:
On a Problem on Periodic Functions
Author(s):
Adel A. Abdelkarim
Mathematics Department, Faculty of
Science,
Jerash Private University, Jerash,
Jordan.
Email:
adelafifo_afifo@yahoo.com
Abstract:
Given a continuous periodic real function f with n translates f_{1 },..., f_{n} , where f_{i}(x)=f(x+a_{i}), i=1,...,n. We solve a problem by Erdos and Chang and show that there are rational numbers r,s such that f(r)≥ f_{i}(r), f(s)≤ f_{i}(s), i=1,...,n. No restrictions on the constants or any further restriction on the function f are necessary as was imposed earlier.
Paper's Title:
On Some Constructive Method of Rational Approximation
Author(s):
Vasiliy A. Prokhorov
Department of Mathematics and Statistics
University of South Alabama
Mobile, Alabama 366880002,
USA.
Email:
prokhoro@southalabama.edu
URL:
http://www.southalabama.edu/mathstat/people/prokhorov.shtml
Abstract:
We study a constructive method of rational approximation of analytic functions based on ideas of the theory of Hankel operators. Some properties of the corresponding Hankel operator are investigated. We also consider questions related to the convergence of rational approximants. Analogues of Montessus de Ballore's and Gonchars's theorems on the convergence of rows of Padé approximants are proved.
Paper's Title:
On the HyersUlam Stability of Homomorphisms and Lie Derivations
Author(s):
Javad Izadi and Bahmann Yousefi
Department of Mathematics, Payame Noor
University,
P.O. Box: 193953697, Tehran,
Iran.
Email: javadie2003@yahoo.com,
b_yousefi@pnu.ac.ir
Abstract:
Let A be a Lie Banach^{*}algebra. For each elements (a, b) and (c, d) in A^{2}:= A * A, by definitions
(a, b) (c, d)= (ac, bd),
(a, b)= a+ b,
(a, b)^{*}= (a^{*}, b^{*}),
A^{2} can be considered as a Banach^{*}algebra. This Banach^{*}algebra is called a Lie Banach^{*}algebra whenever it is equipped with the following definitions of Lie product:
for all a, b, c, d in A. Also, if A is a Lie Banach^{*}algebra, then D: A^{2}→A^{2} satisfying
D ([ (a, b), (c, d)])= [ D (a, b), (c, d)]+ [(a, b), D (c, d)]
for all $a, b, c, d∈A, is a Lie derivation on A^{2}. Furthermore, if A is a Lie Banach^{*}algebra, then D is called a Lie^{*} derivation on A^{2} whenever D is a Lie derivation with D (a, b)^{*}= D (a^{*}, b^{*}) for all a, b∈A. In this paper, we investigate the HyersUlam stability of Lie Banach^{*}algebra homomorphisms and Lie^{* }derivations on the Banach^{*}algebra A^{2}.
Paper's Title:
Bilinear Regular Operators on QuasiNormed Functional Spaces
Author(s):
D. L. Fernandez and E. B. Silva
Universidade Estadual de Campinas 
Unicamp
Instituto de Matematica
Campinas  SP
Brazil.
Email: dicesar@ime.unicamp.br
Universidade Estadual de MaringaUEM
Departamento de Matematica
Av.~Colombo 5790
Maringa  PR
Brazil.
Email: ebsilva@uem.br
Abstract:
Positive and regular bilinear operators on quasinormed functional spaces are introduced and theorems characterizing compactness of these operators are proved. Relations between bilinear operators and their adjoints in normed functional spaces are also studied.
Paper's Title:
New Refinements of Hölder's Inequality
Author(s):
XiuFen Ma
College of Mathematical and Computer,
Chongqing Normal University Foreign Trade and Business College,
No.9 of Xuefu Road, Hechuan District 401520,
Chongqing City,
The People's Republic of China.
Email: maxiufen86@163.com
Abstract:
In this paper, we define two mappings, investigate their properties, obtain some new refinements of Hölder's inequality.
Paper's Title:
Some New Inequalities of HermiteHadamard and Fejér Type for Certain Functions with Higher Convexity
Author(s):
Steven G. From
Department of Mathematics,
University of Nebraska at Omaha,
Omaha, Nebraska 681820243,
U.S.A.
Email: sfrom@unomaha.edu
Abstract:
In this paper, we present some new inequalities of HermiteHadamard or Fejér
type for certain functions satisfying some higher convexity conditions on one or
more derivatives.
An open problem is given also.
Some applications to the logarithmic mean are given.
Paper's Title:
The Dynamics of an Ebola Epidemic Model with Quarantine of Infectives
Author(s):
Eliab Horub Kweyunga
Department of Mathematics,
Kabale University,
P.O.Box 317, Kabale,
Uganda.
Email: hkweyunga@kab.ac.ug
Abstract:
The recurrent outbreaks of ebola in Africa present global health challenges. Ebola is a severe, very fatal disease with case fatality rates of up to 90%. In this paper, a theoretical deterministic model for ebola epidemic with quarantine of infectives is proposed and analyzed. The model exhibits two equilibria; the disease free and endemic equilibrium points. The basic reproduction number, R_{0}, which is the main threshold, is obtained and the stability of the equilibrium points established. Using parameter values drawn from the 2014 West Africa ebola outbreak, a numerical simulation of the model is carried out. It is found that the dynamics of the model are completely determined by R_{0} and that a quarantine success rate of at least 70% is sufficient to contain the disease outbreak.
Paper's Title:
On Commutator of Aluthge Transforms and FugledePutnam Property
Author(s):
(Manzar Maleki, Ali Reza Janfada and Seyed Mohammad Sadegh Nabavi Sales
International Campus, Faculty of
Mathematical Sciences,
Ferdowsi University of Mashhad, Mashhad,
Iran.
Email: manzar.maleki@gmail.com
Faculty of Mathematics and Statistics,
Department of Mathematics,
University of Birjand,
P. O. Box 414, Birjand 9717851367,
Iran.
Email: ajanfada@birjand.ac.ir
Department of Pure Mathematics, Hakim
Sabzevari University,
P.O. Box 397, Sabzevar,
Iran.
Email: sadegh.nabavi@hsu.ac.ir
Abstract:
We deal with the wellknown FugledePutnam theorem and related FPproperty. We show that if (A,B) has the FPproperty, then so has where 0≤ t_{1},t_{2}≤1 are arbitrary. We first prove that if and only if AX=XB for all X, whenever (A,B) has the FPproperty. We prove some similar results for instead of $ as well. Also we introduce the sequence of generalized iterations of Aluthge transform of operators and express some results for this notion associated to the FPproperty.
Paper's Title:
On an extension of Edwards's double integral with applications
Author(s):
I. Kim, S. Jun, Y. Vyas and A. K. Rathie
Department of Mathematics Education,
Wonkwang University,
Iksan, 570749,
Republic of Korea.
General Education Institute,
Konkuk University,
Chungju 380701,
Republic of Korea.
Department of Mathematics, School of
Engineering,
Sir Padampat Singhania University,
Bhatewar, Udaipur, 313601, Rajasthan State,
India.
Department of Mathematics,
Vedant College of Engineering and Technology,
(Rajasthan Technical University),
Bundi323021, Rajasthan,
India.
Email: iki@wku.ac.kr
sjun@kku.ac.kr
yashoverdhan.vyas@spsu.ac.in
arjunkumarrathie@gmail.com
Abstract:
The aim of this note is to provide an extension of the well known and useful Edwards's double integral. As an application, new class of twelve double integrals involving hypergeometric function have been evaluated in terms of gamma function. The results are established with the help of classical summation theorems for the series _{3}F_{2} due to Watson, Dixon and Whipple. Several new and interesting integrals have also been obtained from our main findings.
Paper's Title:
An Existence of the Solution to Neutral Stochastic Functional Differential Equations Under the Holder Condition
Author(s):
YoungHo Kim
Department of Mathematics,
Changwon National University,
Changwon, Gyeongsangnamdo 51140,
Korea.
Email: iyhkim@changwon.ac.kr
Abstract:
In this paper, we show the existence and uniqueness of solution of the neutral stochastic functional differential equations under weakened H\"{o}lder condition, a weakened linear growth condition, and a contractive condition. Furthermore, in order to obtain the existence of a solution to the equation we used the Picard sequence.
Paper's Title:
Extension of Factorization Theorems of Maurey to spositively Homogeneous Operators
Author(s):
Abdelmoumen Tiaiba
Department of Physics,
University of M'sila,
Algeria.
Email: tiaiba05@yahoo.fr
Abstract:
In the present work, we prove that the class of spositively homogeneous operators is a Banach space. As application, we give the generalization of some Maurey factorization theorems to T which is a spositively homogeneous operator from X a Banach space into L_{p}. Where we establish necessary and sufficient conditions to proof that T factors through L_{q}. After this we give extend result of dual factorization theorem to same class of operators above.
Paper's Title:
A new approach to the study of fixed point for simulation functions with application in Gmetric spaces
Author(s):
Komi Afassinou and Ojen Kumar Narain
Department of Mathematical Sciences,
University of Zululand,
KwaDlangezwa,
South Africa.
Email: komia@aims.ac.za
School of Mathematics, Statistics and
Computer Science,
University of KwaZuluNatal, Durban,
South Africa.
Email: naraino@ukzn.ac.za
Abstract:
The purpose of this work is to generalize the fixed point results of Kumar et al. [11] by introducing the concept of (α,β)Zcontraction mapping, Suzuki generalized (α,β)Zcontraction mapping, (α,β)admissible mapping and triangular (α,β)admissible mapping in the frame work of Gmetric spaces. Fixed point theorems for these class of mappings are established in the frame work of a complete Gmetric spaces and we establish a generalization of the fixed point result of Kumar et al. [11] and a host of others in the literature. Finally, we apply our fixed point result to solve an integral equation.
Paper's Title:
Analysis of a Frictional Contact Problem for Viscoelastic Piezoelectric Materials
Author(s):
Meziane Said Ameur, Tedjani Hadj Ammar and Laid Maiza
Departement of Mathematics,
El Oued University,
P.O. Box 789, 39000 El Oued,
Algeria.
Email:
saidameurmeziane@univeloued.dz
Departement of Mathematics,
El Oued University,
P.O. Box 789, 39000 El Oued,
Algeria.
Email:
hadjammartedjani@univeloued.dz
Department of Mathematics,
Kasdi Merbah University,
30000 Ouargla,
Algeria.
Email: maiza.laid@univouargla.dz
Abstract:
In this paper, we consider a mathematical model that describes the quasistatic process of contact between two thermoelectroviscoelastic bodies with damage and adhesion. The damage of the materials caused by elastic deformations. The contact is frictional and modeled with a normal compliance condition involving adhesion effect of contact surfaces. Evolution of the bonding field is described by a first order differential equation. We derive variational formulation for the model and prove an existence and uniqueness result of the weak solution. The proof is based on arguments of evolutionary variational inequalities, parabolic inequalities, differential equations, and fixed point theorem.
Paper's Title:
Double Difference of Composition Operator on Bloch Spaces
Author(s):
Rinchen Tundup
Department of Mathematics
University of Jammu
Jammu and Kashmir
India.
Email: joneytun123@gmail.com
Abstract:
In this paper we characterize the compactness of double difference of three noncompact composition operators on Bloch space induced by three holomorphic self maps on the unit disc.
Paper's Title:
Numerical Approximation by the Method of Lines with Finitevolume Approach of a Solute Transport Equation in Periodic Heterogeneous Porous Medium
Author(s):
D. J. Bambi Pemba and B. Ondami
Université Marien Ngouabi,
Factuté des Sciences et Techniques,
BP 69, Brazzaville,
Congo.
Email: bondami@gmail.com
Abstract:
In this paper we are interested in the numerical approximation of a twodimensional solute transport equation in heterogeneous porous media having periodic structures. It is a class of problems which has been the subject of various works in the literature, where different methods are proposed for the determination of the socalled homogenized problem. We are interested in this paper, in the direct resolution of the problem, and we use the method of lines with a finite volume approach to discretize this equation. This discretization leads to an ordinary differential equation (ODE) that we discretize by the Euler implicit scheme. Numerical experiments comparing the obtained solution and the homogenized problem solution are presented. They show that the precision and robustness of this method depend on the ratio between, the mesh size and the parameter involved in the periodic homogenization.
Paper's Title:
ResidualBased A Posteriori Error Estimates For A Conforming Mixed Finite Element Discretization of the MongeAmpere Equation
Author(s):
J. Adetola, K. W. Houedanou and B. Ahounou
Institut de Mathematiques et de Sciences
Physiques (IMSP),
Universite d'AbomeyCalavi
Email: adetolajamal58@yahoo.com
Departement de Mathematiques,
Faculte des Sciences et Techniques (FAST),
Universite d'AbomeyCalavi
Email: khouedanou@yahoo.fr
Departement de Mathematiques,
Faculte des Sciences et Techniques (FAST),
Universite d'AbomeyCalavi
Email: bahounou@yahoo.fr
Abstract:
In this paper we develop a new a posteriori error analysis for the MongeAmpere equation approximated by conforming finite element method on isotropic meshes in R^{2}. The approach utilizes a slight variant of the mixed discretization proposed by Gerard Awanou and Hengguang Li in [4]. The a posteriori error estimate is based on a suitable evaluation on the residual of the finite element solution. It is proven that the a posteriori error estimate provided in this paper is both reliable and efficient.
Paper's Title:
Antiderivatives and Integrals Involving Incomplete Beta Functions with Applications
Author(s):
R. AlAhmad^{1,2} and H. Almefleh^{1}
Mathematics Department,
Yarmouk University,
Irbid 21163,
Jordan.
Email: rami_thenat@yu.edu.jo
Faculty of Engineering,
Higher Colleges of Technology,
Ras Alkhaimah,
UAE.
Abstract:
In this paper, we prove that incomplete beta functions are antiderivatives of several products and powers of trigonometric functions, we give formulas for antiderivatives for products and powers of trigonometric functions in term of incomplete beta functions, and we evaluate integrals involving trigonometric functions using incomplete beta functions. Also, we extend some properties of the beta functions to the incomplete beta functions. As an application for the above results, we find the moments for certain probability distributions.
Paper's Title:
Fractional exp(φ(ξ)) Expansion Method and its Application to SpaceTime Nonlinear Fractional Equations
Author(s):
A. A. Moussa and L. A. Alhakim
Department of Management Information
System and Production Management,
College of Business and Economics, Qassim University,
P.O. BOX 6666, Buraidah: 51452,
Saudi Arabia.
Email: Alaamath81@gmail.com
URL:
https://scholar.google.com/citations?user=ccztZdsAAAAJ&hl=ar
Department of Management Information
System and Production Management,
College of Business and Economics, Qassim University,
P.O. BOX 6666, Buraidah: 51452,
Saudi Arabia.
Email: Lama2736@gmail.com
URL:
https://scholar.google.com/citations?user=OSiSh1AAAAAJ&hl=ar
Abstract:
In this paper, we mainly suggest a new method that depends on the fractional derivative proposed by Katugampola for solving nonlinear fractional partial differential equations. Using this method, we obtained numerous useful and surprising solutions for the spacetime fractional nonlinear WhithamBroerKaup equations and spacetime fractional generalized nonlinear HirotaSatsuma coupled KdV equations. The solutions obtained varied between hyperbolic, trigonometric, and rational functions, and we hope those interested in the reallife applications of the previous two equations will find this approach useful.
Paper's Title:
A Selfadaptive Subgradient Extragradient Algorithm for Variational Inequality Problems and Fixed Point Problems in Banach Spaces
Author(s):
F. U. Ogbuisi
School of Mathematics, Statistics and
Computer Science,
University of KwaZuluNatal, Durban,
South Africa.
Department of Mathematics,
University of Nigeria, Nsukka,
Nigeria.
Email: ferdinard.ogbuisi@unn.edu.ng
fudochukwu@yahoo.com
Abstract:
In this paper, we propose and analyze a type of subgradient extragradient algorithm for the approximation of a solution of variational inequality problem which is also a common fixed point of an infinite family of relatively nonexpansive mappings in 2uniformly convex Banach spaces which are uniformly smooth. By using the generalized projection operator, we prove a strong convergence theorem which does not require the prior knowledge of the Lipschitz constant of cost operator. We further applied our result to constrained convex minimization problem, convex feasibility problem and infinite family of equilibrium problems. Our results improve and complement related results in 2uniformly convex and uniformly smooth Banach spaces and Hilbert spaces.
Paper's Title:
A Note on Schur's Lemma in Banach Function Spaces
Author(s):
R. E. Castillo, H. Rafeiro and E. M. Rojas
Universidad Nacional de Colombia,
Departamento de Matematicas, Bogota,
Colombia.
Email: recastillo@unal.edu.co
United Arab Emirates University,
Department of Mathematical Sciences, Al Ain,
United Arab Emirates.
Email: rafeiro@uaeu.ac.ae
Universidad Nacional de Colombia,
Departamento de Matematicas, Bogota,
Colombia.
Email: emrojass@unal.edu.co
Abstract:
In this small note, in a self contained presentation, we show the validity of Schur's type lemma in the framework of Banach function spaces.
Paper's Title:
Analysis of the Dynamic Response of the Soilpile Behavioral Model Under Lateral Load
Author(s):
Ibrahima Mbaye, Mamadou Diop, Aliou Sonko and Malick Ba
University of Thies,
Department of Mathematics, Bp 967 Thies,
Senegal.
Email: imbaye@univthies.sn
mamadou.diop@univthies.sn
aliousonko59@gmail.com
mmalickba@hotmail.fr
URL: https://www.univthies.sn
Abstract:
This work aims to extend and improve our previous study on mathematical and numerical analysis of stationary Pasternak model. In this paper a dynamic response of Pasternak model is considered. On the one hand we establish the existence and uniqueness of the solution by using the LaxMilgram theorem and the spectral theory thus the existence of a Hilbert basis is shown and the spectral decomposition of any solution of the problem can be established and on the other hand the finite element method is used to determinate the numerical results. Furthermore, the influence of soil parameters G_{p} and K_{p} on the displacement of the pious is studied numerically at any time t_{n}.
Paper's Title:
Existence of Solution of Differential and RiemannLiouville Equation Via Fixed Point Approach in Complex Valued bMetric Spaces
Author(s):
K. Afassinou, A. A. Mebawondu, H. A. Abass and O. K. Narain
Department of Science Access,
University of Zululand, KwaDlangezwa,
South Africa.
Email: komia@aims.ac.za
DSTNRF Centre of Excellence in
Mathematical and Statistical Sciences (CoEMaSS),
Johannesburg,
South Africa.
Email: dele@aims.ac.za
DSTNRF Centre of Excellence in
Mathematical and Statistical Sciences (CoEMaSS),
Johannesburg,
South Africa.
Email: hammedabass548@gmail.com
School of Mathematics, Statistics and
Computer Science,
University of KwaZuluNatal, Durban,
South Africa.
Email: naraino@ukzn.ac.za
Abstract:
In this paper, we establish some fixed point and common fixed point results for a new type of generalized contractive mapping using the notion of Cclass function in the framework of complex valued bmetric spaces. As an application, we establish the existence and uniqueness of a solution for RiemannLiouville integral and ordinary differential equation in the framework of a complete complex valued bmetric spaces. The obtained results generalize and improve some fixed point results in the literature.
Paper's Title:
Coefficient Estimates Of Sakaguchi Kind Functions Using Lucas Polynomials
Author(s):
H. Priya and B. Srutha Keerthi
Department of Mathematics,
School of Advanced Sciences,
VIT Chennai Campus,
Chennai  600 048,
India.
Email:
priyaharikrishnan18@gmail.com
Department of Mathematics,
School of Advanced Sciences,
VIT Chennai Campus,
Chennai  600 048,
India.
Email: isruthilaya06@yahoo.co.in
Abstract:
By means of (p,q) Lucas polynomials, we estimate coefficient bounds and FeketeSzego inequalities for functions belonging to this class. Several corollaries and consequences of the main results are also obtained.
Paper's Title:
Numerical Solution of Certain Types of FredholmVolterra IntegroFractional Differential Equations via Bernstein Polynomials
Author(s):
Alias B. Khalaf^{1}, Azhaar H. Sallo^{2} and Shazad S. Ahmed^{3}
^{1}Department
of Mathematics, College of Science,
University of Duhok,
Kurdistan Region,
Iraq.
Email: aliasbkhalaf@uod.ac
^{2}Department
of Mathematics, College of Science,
University of Duhok,
Kurdistan Region,
Iraq.
Email: azhaarsallo@uod.ac
^{3}Department
of Mathematics, College of Science,
University of Sulaimani,
Kurdistan Region,
Iraq.
Email: shazad.ahmed@univsul.edu
Abstract:
In this article we obtain a numerical solution for a certain fractional order integrodifferential equations of FredholmVolterra type, where the fractional derivative is defined in Caputo sense. The properties of Bernstein polynomials are applied in order to convert the fractional order integrodifferential equations to the solution of algebraic equations. Some numerical examples are investigated to illustrate the method. Moreover, the results obtained by this method are compared with the exact solution and with the results of some existing methods as well.
Paper's Title:
Algorithms for Nonlinear Problems Involving Strictly Pseudocontractive Mappings
Author(s):
Mathew Olajiire Aibinu^{1}, Surendra Colin Thakur^{2}, Sibusiso Moyo^{3}
^{1}Institute for Systems Science
& KZN ESkill CoLab,
Durban University of Technology,
Durban 4000,
South Africa.
^{1}DSINRF
Centre of Excellence in Mathematical and Statistical Sciences (CoEMaSS),
Johannesburg,
South Africa.
Email: moaibinu@yahoo.com
mathewa@dut.ac.za
^{2} KZN ESkill CoLab,
Durban University of Technology,
Durban 4000,
South Africa.
Email: thakur@dut.ac.za
^{3}Institute for Systems Science & Office of the DVC Research,
Innovation & Engagement Milena Court,
Durban University of Technology,
Durban 4000,
South Africa.
Email: dvcrie@dut.ac.za
Abstract:
The puzzles in approximating a fixed point of nonlinear problems involving the class of strictly pseudocontractive mappings are conquered in this paper through viscosity implicit rules. Using generalized contraction mappings, a new viscosity iterative algorithm which is implicit in nature is proposed and analysed in Banach spaces for the class of strictly pseudocontractive mappings. The computations and analysis which are used in the proposed scheme are easy to follow and this gives rooms for a broad application of the scheme. It is obtained that the proposed iterative algorithm converges strongly to a fixed point of a μstrictly pseudocontractive mapping which also solves a variational inequality problem. The result is also shown to hold for finite family of strictly pseudocontractive mappings. A numerical example is given to show the skillfulness of the proposed scheme and its implementation.
Paper's Title:
Multistage Analytical Approximate Solution of QuasiLinear Differential Algebraic System of Index Two
Author(s):
Ibrahim M. Albak, F. A. Abdullah^{*} and Zarita Zainuddin
School of Mathematical Sciences,
Universiti Sains Malaysia,
11800 USM, Penang,
Malaysia.
Email: ibra13975@gmail.com,
farahaini@usm.my,
zarita@usm.my
Abstract:
In this paper, a new Multistage Transform Method (MSDTM) has been proposed by utilizing a wellknown transformation technique, the Differential Transform Method (DTM), to solve Differential Algebraic Equations (DAEs) with index 2. The advantage of the proposed scheme is that it does not require an index reduction and extends the convergence domain of the solution. Some examples for various types of problems are carried out to show the ability of MSDTM in solving DAEs. The results obtained are in good agreement with the existing literature which demonstrates the effectiveness and efficiency of the proposed method.
Paper's Title:
A Regularity of the Weak Solution Gradient of the Dirichlet Problem for Divergent Form Elliptic Equations in Morrey Spaces
Author(s):
Nicky K. Tumalun and Philotheus E. A. Tuerah
Mathematics Department, Universitas Negeri Manado,
Tondano Selatan, Minahasa Regency,
Sulawesi Utara Province,
Indonesia.
Email: nickytumalun@unima.ac.id,
pheatuerah@unima.ac.id
Abstract:
In this paper we prove that the gradient of the weak solution of the Dirichlet problem for divergent form elliptic equations, with the known term belongs to the Morrey spaces, is the element of the weak Morrey spaces.
Paper's Title:
Existence, Global Regularity and Uniqueness of Solutions of the NavierStokes Equations in Space Dimension 3 when the Initial Data are Regular
Author(s):
Moulay D. Tidriri
Email: mtctyasa@gmail.com
Abstract:
The existence, regularity, and uniqueness of global solutions of the NavierStokes equations in are given for when the initial velocity for all integers q ≥ 0 and div u_{0 }= 0.
Paper's Title:
A Generalization of a Partial bmetric and Fixed Point Theorems
Author(s):
Pravin Singh and Virath Singh
Department of Mathematics, University of
KwaZuluNatal,
Private Bag X54001, Durban,
South Africa.
Email: singhp@ukzn.ac.za
singhv@ukzn.ac.za
Abstract:
The purpose of this paper is to introduce the concept of a Partial α, β bmetric as a generalization of a partial bmetric and prove theorems for some contractive type mapping.
Paper's Title:
On Trigonometric Approximation of Continuous Functions by Deferred Matrix Means
Author(s):
Xhevat Zahir Krasniqi
Faculty of Education,
University of Prishtina "Hasan Prishtina",
Avenue "Mother Theresa " no. 5, Prishtinë
10000,
Republic of Kosovo.
Email: xhevat.krasniqi@unipr.edu
URL:
https://staff.unipr.edu/profile/xhevatkrasniqi
Abstract:
In this paper, for the first time, we introduce the deferred matrix means which contain the wellknown generalized deferred Nörlund, deferred Nörlund, deferred Riesz, deferred Cesŕro means introduced earlier by others, and a new class of sequences (predominantly a wider class than the class of Head Bounded Variation Sequences). In addition, using the deferred matrix means of Fourier series of a continuous function, we determine the degree of approximation of such function via its modulus of continuity and a positive mediate function.
Paper's Title:
The Boundedness of Gradient Solutions of PLaplacian Type
Author(s):
Corina Karim, Khoirunisa, Ratno Bagus Edy Wibowo
Department of Mathematics,
Universitas Brawijaya,
Veteran Street, Malang,
Indonesia.
Email: co_mathub@ub.ac.id
khrnisa@student.ub.ac.id
rbagus@ub.ac.id
Abstract:
In this paper, we give the boundedness of gradient solutions result for pLaplacian systems only in the singular case. The Lebesgue space for initial data belong to guarantee the local boundedness of gradient solutions.
Paper's Title:
Corrigendum for Multistage Analytical Approximate Solution of QuasiLinear Differential Algebraic System of Index Two
Author(s):
Ibrahim M. Albak, F. A. Abdullah^{*} and Zarita Zainuddin
School of Mathematical Sciences,
Universiti Sains Malaysia,
11800 USM, Penang,
Malaysia.
Email: ibra13975@gmail.com,
farahaini@usm.my,
zarita@usm.my
Abstract:
This article is a corrigendum to AJMAA Volume 18, Issue 2, Article 13, {PDF Link}.
Paper's Title:
Two Geometric Constants Related to Isosceles Orthogonality on Banach Space
Author(s):
Huayou Xie, Qi Liu and Yongjin Li
Department of Mathematics,
Sun Yatsen University,
Guangzhou, 510275,
P. R. China.
Email: xiehy33@mail2.sysu.edu.cn
Department of Mathematics,
Sun Yatsen University,
Guangzhou, 510275,
P. R. China.
Email: liuq325@mail2.sysu.edu.cn
Department of Mathematics,
Sun Yatsen University,
Guangzhou, 510275,
P. R. China.
Email: stslyj@mail.sysu.edu.cn
Abstract:
In this paper, we introduce new geometric constant C(X,a_{i},b_{i},c_{i},2) to measure the difference between isosceles orthogonality and special Carlsson orthogonalities. At the same time, we also present the geometric constant C(X,a_{i},b_{i},c_{i}), which is a generalization of the rectangular constant proposed by Joly. According to the inequality on isosceles orthogonality, we give the boundary characterization of these geometric constants. Then the relationship between these geometric constants and uniformly nonsquare property can also be discussed. Furthermore, we show that there is a close relationship between these geometric constants and some important geometric constants.
Paper's Title:
Bicomplex Univalent Functions
Author(s):
Mohd Arif, Amjad Ali, Rajat Singh^{*} and Romesh Kumar
Department of Mathematics,
University of Jammu,
Jammu And Kashmir,
India.
Email: azizymaths@gmail.com
Department of Mathematics,
University of Jammu,
Jammu And Kashmir,
India.
Email: amjadladakhi687@gmail.com
Department of Mathematics,
University of Jammu,
Jammu And Kashmir,
India.
Email: ^{*}rajat.singh.rs634@gmail.com
Department of Mathematics,
University of Jammu,
Jammu And Kashmir,
India.
Email: romeshmath@gmail.com
Abstract:
In this paper we introduce bicomplex univalent functions and also discuss the properties of a specific class of univalent functions.
Paper's Title:
Lozi Maps With Max Function and its Application
Author(s):
Abdellah Menasri
Higher National School of Forests,
Khenchela,
Algeria.
Email: abdellah.menasri70@gmail.com
Abstract:
In this paper, we study the Lozi map by replacing the piecewise linear term in the first equation by the function max (f(x,y);g(x,y)) such that f and g are two arbitrary functions in R^{2}. This is a family model that allows us to study several new piecewisesmooth maps. We demonstrate that these models converge to a robust chaotic attractor and give some applications of these models in the real world.
Paper's Title:
Fractional Integral Inequalities of HermiteHadamard Type for Pconvex and QuasiConvex Stochastic Process
Author(s):
Oualid Rholam, Mohammed Barmaki and Driss Gretet
National School of Applied Sciences (ENSA),
University Ibn Tofail,
B.P 242 Kenitra 14000,
phone number : +212606257757,
Morocco.
Email: oualid.rholam@uit.ac.ma
Science Faculty Ben M'sik,
University Hassan II,
B.P 7955 Av Driss El Harti Sidi Othmane 20700,
phone number : +212 5 22 70 46 71 ,
Morocco.
Email: mohammed.barmaki@uit.ac.ma
National School of Applied Sciences (ENSA),
University Ibn Tofail,
B.P 242 Kenitra 14000,
phone number : +212661403557,
Morocco.
Email: driss.gretete@uit.ac.ma
Abstract:
In this paper we consider the class of Pconvex and Quasiconvex stochastic processes on witch we apply a general class of generalized fractional integral operator in order to establish new integral inequalities of HermiteHadammard type. then we obtain some results for well known types of fractional integrals. Results obtained in this paper may be starting point as well as a useful source of inspiration for further research in convex analysis.
Paper's Title:
Linear System of Singularly Perturbed Initial Value Problems with Robin Initial Conditions
Author(s):
S. Dinesh, G. E. Chatzarakis, S. L. Panetsos and S. Sivamani
Department of Mathematics,
Saranathan College of Engineering,
Tiruchirappalli620012,
Tamil Nadu,
India.
Department of Electrical and Electronic
Engineering Educators,
School of Pedagogical and Technological Education,
Marousi 15122, Athens,
Greece.
Email:
geaxatz@otenet.gr,
dineshselvaraj24@gmail.com,
spanetsos@aspete.gr,
winmayi2012@gmail.com
Abstract:
On the interval (0,1], this paper considers an initial value problem for a system of n singularly perturbed differential equations with Robin initial conditions. On a piecewise uniform Shishkin mesh, a computational approach based on a classical finite difference scheme is proposed. This approach is shown to be firstorder convergent in the maximum norm uniformly in the perturbation parameters. The theory is illustrated by a numerical example.
Paper's Title:
Numerical Study of a Mathematical Model of a FreeSurface Potential Flow
Author(s):
H. Serguine, F. Guechi and A. Gasmi
Department Of Mathematics, Faculty of Science,
Ferhat Abbas Universty,
19000, Setif,
Algeria.
Email: houria.serguine@univmsila.dz
Department Of Mathematics, Faculty of Science,
Ferhat Abbas Universty,
19000, Setif,
Algeria.
Email: fairouz.chegaar@univsetif.dz
Laboratory of Pure and Applied Mathematics, Faculty of Mathematics and
Computer Science,
Mohamed Boudiaf Universty,
28000, M'sila,
Algeria.
Email: abdelkader.gasmi@univmsila.dz
Abstract:
In this work, the problem of a potential and twodimensional flow with a free surface of an incompressible, irrotational and inviscid fluid of a jet in front an inclined wall is considered, where γ is the inclination angle with the horizontal. The shape of the free surface is presented by curves which are found numerically by the series truncation method. This technique is based on the conformal transformations, resulting with the surface tension effect T with the boundary conditions on the free surfaces given by Bernoulli's equation. The found results are dependant on parameters which are: the Weber's number α and the angle γ. For each Weber's number value, only one solution is specified and some shapes of free surfaces of the jet are illustrated.
Paper's Title:
Constraint Qualifications for Multiobjective Programming Problems on Hadamard Manifolds
Author(s):
Arnav Ghosh, Balendu Bhooshan Upadhyay and I.M. StancuMinasian
Department of Mathematics,
Indian Institute of Technology Patna,
Patna,
India.
Email: arnav_2021ma09@iitp.ac.in
Department of Mathematics,
Indian Institute of Technology Patna,
Patna,
India.
Email: bhooshan@iitp.ac.in
"Gheorghe MihocCaius Iacob" Institute of
Mathematical Statistics and Applied Mathematics of the Romanian Academy,
Bucharest,
Romania.
Email: stancu_minasian@yahoo.com
Abstract:
The study of optimization methods on manifolds has emerged as an immensely significant topic in mathematics due its ubiquitous applicability as well as various computational advantages associated with it. Motivated by this fact, the present article is devoted to the study of a class of constrained multiobjective programming problems (MOPP) in the framework of Hadamard manifolds. We present the generalized Guignard constraint qualification (GGCQ) in the framework of Hadamard manifolds for (MOPP). Employing (GGCQ), we derive KarushKuhnTucker type necessary optimality criteria for (MOPP). Moreover, we present several other constraint qualifications (CQs) on Hadamard manifolds, namely, Abadie's CQ, generalized Abadie's CQ, Cottletype CQ, Slatertype CQ, linear CQ, linear objective CQ and MangasarianFromovitz CQ. Further, we establish various relations between these constraint qualifications. In particular, we show that these constraint qualifications, in turn, become sufficient conditions ensuring that (GGCQ) is satisfied.
Paper's Title:
Results on Bounds of the Spectrum of Positive Definite Matrices by Projections
Author(s):
P. Singh, S. Singh, V. Singh
University of KwaZuluNatal,
Private Bag X54001,
Durban, 4001,
South Africa.
Email: singhp@ukzn.ac.za
University of South Africa, Department of
Decision Sciences,
PO Box 392, Pretoria, 0003,
South Africa.
Email: singhs2@unisa.ac.za
University of KwaZuluNatal,
Private Bag X54001,
Durban, 4001,
South Africa.
Email: singhv@ukzn.ac.za
Abstract:
In this paper, we develop further the theory of trace bounds and show that in some sense that the earlier bounds obtained by various authors on the spectrum of symmetric positive definite matrices are optimal. Our approach is by considering projection operators, from which several mathematical relationships may be derived. Also criteria for positive lower bounds are derived.
Paper's Title:
Pseudomonotonicity and Quasimonotonicity by Translations versus Monotonicity in Hilbert Spaces
Author(s):
George Isac and Dumitru Motreanu
Department of
Mathematics, Royal Military College of Canada, P.O. Box 17000 Stn Forces
Kingston, Ontario, Canada, K7k 7b4.
gisac@juno.com
Département de Mathématiques, Université de Perpignan, 66860
Perpignan, France.
motreanu@univperp.fr
Abstract:
Let _{ }be a Gâteaux differentiable mapping on an open convex subset _{ }of a Hilbert space_{}. If there exists a straight line _{ }such that _{ }is pseudomonotone for any _{ }then _{ }is monotone. Related results using a regularity condition are given.
Paper's Title:
Inequalities Relating to the Gamma Function
Author(s):
ChaoPing Chen and Feng Qi
Department of Applied Mathematics and Informatics,
Research Institute of Applied Mathematics,
Henan Polytechnic University, Jiaozuo
City, Henan 454000, China
chenchaoping@hpu.edu.cn
Department of Applied Mathematics and Informatics,
Research Institute of Applied Mathematics,
Henan Polytechnic University, Jiaozuo
City, Henan 454000, China
qifeng@hpu.edu.cn,
fengqi618@member.ams.org
Url:
http://rgmia.vu.edu.au/qi.html,
http://dami.hpu.edu.cn/qifeng.html
Abstract:
For _{}, we have
_{ }.
For_{},
_{ },
And equality occurs for x=1.
Paper's Title:
Integrability of Sine and Cosine Series Having Coefficients of a New Class
Author(s):
L. Leindler
Bolyai Institute,
University of Szeged, Aradi Vértanúk Tere 1, H6720 Szeged, Hungary
leindler@math.uszeged.hu
Abstract:
Some integrability theorems or only their sufficient part are generalized such that the coefficients of the sine and cosine series belong to a new class of sequences being wider than the class of sequences of rest bounded variation, which itself is a generalization of the monotone decreasing sequences, but a subclass of the almost monotone decreasing sequences. It is also verified that the new class of sequences and the class of almost monotone decreasing sequences are not comparable.
Paper's Title:
Long Time Behavior for a Viscoelastic Problem with a Positive Definite Kernel
Author(s):
Nassereddine Tatar
King Fahd
University of Petroleum and Mineral, Department of Mathematical Sciences,
Dhahran, 31261 Saudi Arabia
tatarn@kfupm.edu.sa
Abstract:
We study the asymptotic behavior of solutions for an integrodifferential problem which arises in the theory of viscoelasticity. It is proved that solutions go to rest in an exponential manner under new assumptions on the relaxation function in the memory term. In particular, we consider a new family of kernels which are not necessarily decreasing.
Paper's Title:
Reverses of the Triangle Inequality in Inner Product Spaces
Author(s):
Sever S. Dragomir
School of Computer Science and Mathematics,
Victoria University Of Technology,
PO Box 14428, Mcmc 8001,
Victoria, Australia.
sever@csm.vu.edu.au
Url:
http://rgmia.vu.edu.au/SSDragomirWeb.html
Abstract:
Some new reverses for the generalised triangle inequality in inner product spaces are given. Applications in connection to the Schwarz inequality and for vectorvalued integrals are provided as well.
Paper's Title:
Reverse of Martin's Inequality
Author(s):
ChaoPing Chen, Feng Qi, and Sever S. Dragomir
Department of Applied Mathematics and Informatics,
Research Institute of Applied
Mathematics,
Henan Polytechnic University,
Jiaozuo City, Henan 454010, China
chenchaoping@sohu.com;
chenchaoping@hpu.edu.cn
Department of Applied Mathematics and Informatics,
Research Institute of Applied
Mathematics,
Henan Polytechnic University,
Jiaozuo City, Henan 454010, China
qifeng@hpu.edu.cn
Url: http://rgmia.vu.edu.au/qi.html
School of Computer Science and Mathematics,
Victoria University of Technology,
P. O. Box 14428, Melbourne City Mc,
Victoria 8001, Australia
Sever.Dragomir@vu.edu.au
Url: http://rgmia.vu.edu.au/SSDragomirWeb.html
Abstract:
In this paper, it is proved that
_{ }for all natural numbers n, and all real r < 0.
Paper's Title:
On Certain Classes of Harmonic Univalent Functions Based on Salagean Operator
Author(s):
G. Murugusundaramoorthy, Thomas Rosy, and B. A. Stephen
Department of Applied Mathematics and Informatics,
Department of Mathematics, Vellore Institute of Technology,
Deemed University, Vellore  632014, India.
gmsmoorthy@yahoo.com
Department of Applied Mathematics and Informatics,
Department of Mathematics, Madras Christian College,
Chennai  600059, India.
drthomasrosy@rediffmail.com
Abstract:
We define and investigate a class of complexvalued harmonic univalent functions of the form f = h + g using Salagean operator where h and g are analytic in the unit disc U = { z : z < 1 }. A necessary and sufficient coefficient conditions are given for functions in these classes. Furthermore, distortion theorems, inclusion relations, extreme points, convolution conditions and convex combinations for this family of harmonic functions are obtained.
Paper's Title:
Weak Solution for Hyperbolic Equations with a NonLocal Condition
Author(s):
Lazhar Bougoffa
King Khalid
University, Faculty of Science, Department of Mathematics,
P.O.Box 9004, Abha, Saudi Arabia
abogafah@kku.edu.sa
Abstract:
In this paper, we study hyperbolic equations with a nonlocal condition. We prove the existence and uniqueness of weak solutions, using energy inequality and the density of the range of the operator generated by the problem.
Paper's Title:
Refinement Inequalities Among Symmetric Divergence Measures
Author(s):
Inder Jeet Taneja
Departamento de Matemática,
Universidade Federal de Santa Catarina, 88.040900
Florianópolis, Sc, Brazil
taneja@mtm.ufsc.br
URL: http://www.mtm.ufsc.br/~taneja
Abstract:
There are three classical divergence measures in the literature on information theory and statistics, namely, JeffryesKullbackLeiber’s Jdivergence, SibsonBurbeaRao’s Jensen Shannon divegernce and Taneja’s arithemtic  geometric mean divergence. These bear an interesting relationship among each other and are based on logarithmic expressions. The divergence measures like Hellinger discrimination, symmetric χ^{2}−divergence, and triangular discrimination are not based on logarithmic expressions. These six divergence measures are symmetric with respect to probability distributions. In this paper some interesting inequalities among these symmetric divergence measures are studied. Refinements of these inequalities are also given. Some inequalities due to Dragomir et al. [6] are also improved.
Paper's Title:
Some Generalizations of Steffensen's Inequality
Author(s):
W. T. Sulaiman
College of Computer Science and Mathematics
University of Mosul , Iraq
Abstract:
Some generalization of Steffensen's inequalities are given.
Paper's Title:
Orthogonality and εOrthogonality in Banach Spaces
Author(s):
H. Mazaheri and S. M. Vaezpour
Faculty of Mathematics, Yazd University, Yazd, Iran
vaezpour@yazduni.ac.ir
hmazaheri@yazduni.ac.ir
Abstract:
A concept of orthogonality on normed linear space was introduced by Brickhoff, also the concept of εorthogonality was introduced by Vaezpour. In this note, we will consider the relation between these concepts and the dual of X. Also some results on best coapproximation will be obtained.
Paper's Title:
Meromorphic PValent Functions With Positive And Fixed Second Coefficients
Author(s):
B.A. Frasin and G. Murugusundaramoorthy
Department of Mathematics,
Al AlBayt University,
P.O. Box: 130095,
Mafraq, Jordan.
bafrasin@yahoo.com
URL: http://www.geocities.com/bafrasin/techie.html
Department of Mathematics,
Vellore Institute of Technology,
Deemed University,
Vellore  632014,
India.
gmsmoorthy@yahoo.com
Abstract:
We introduce the classes _{} and _{ }of meromorphic univalent functions ith positive and fixed second coefficients. The aim of the present paper is to obtain coefficient inequalities and closure theorems for these classes. Furthermore, the radii of convexity and starlikeness for functions the classes _{} and _{} are determined.
Paper's Title:
On Perturbed Reflection Coefficients
Author(s):
J. L. DíazBarrero and J. J. Egozcue
Applied Mathematics III,
Universidad Politécnica de Cataluńa,
Barcelona, Spain
jose.luis.diaz@upc.edu
juan.jose.egozcue@upc.edu
Abstract:
Many control and signal processing applications require testing stability of polynomials. Classical tests for locating zeros of polynomials are recursive, but they must be stopped whenever the so called "singular polynomials" appear. These ``singular cases'' are often avoided by perturbing the "singular polynomial". Perturbation techniques although always successful are not proven to be wellfounded. Our aim is to give a mathematical foundation to a perturbation method in order to overcome "singular cases" when using Levinson recursion as a testing method. The nonsingular polynomials are proven to be dense in the set of all polynomials respect the L˛norm on the unit circle . The proof is constructive and can be used algorithmically.
Paper's Title:
On Zeros of Diagonally Quasiconvex Multifunctions
Author(s):
Zoran D. Mitrović
Faculty of Electrical Engineering,
University of Banja Luka,
78000 Banja Luka, Patre 5
Bosnia and Herzegovina
zmitrovic@etfbl.net
Abstract:
In this paper, we extended the notion of diagonally quasiconvexity for multifunctions and established several existence results for zeros of diagonally quasiconvex multifunctions. As applications we obtain the results of fixed points, coincidence points and best approximations for multifunctions. Using our result we also prove the existence of solutions to the variationallike inequality problem and generalized vector equilibrium problem. The results of this paper generalize some known results in the literature.
Paper's Title:
Differential Sandwich Theorems for Some Subclasses of Analytic Functions
Author(s):
T. N. Shanmugam, V. Ravichandran and S. Sivasubramanian
Department of Mathematics, College of Engineering,
Anna university, Chennai 600 025,
India
shan@annauniv.edu
URL: http://www.annauniv.edu/shan
School of Mathematical Sciences,
Universiti Sains Malaysia,
11800 USM Penang,
Malaysia
vravi@cs.usm.my
URL: http://cs.usm.my/~vravi
Department of Mathematics, Easwari Engineering college,
Ramapuram, Chennai 600 089,
India
sivasaisastha@rediffmail.com
Abstract:
Let _{} and _{} be univalent in _{} with _{} We give some applications of first order differential subordination and superordination to obtain sufficient conditions for normalized analytic function _{} with _{} to satisfy _{}
Paper's Title:
A general common fixed point theorem for reciprocally continuous mappings satisfying an implicit relation
Author(s):
A. Djoudi and A. Aliouche
Faculty of Science, University of Annaba,
P.O. Box 23000, Annaba,
Algeria.
adjoudi@yahoo.com
Department of Mathematics, University of Larbi Ben M'Hidi,
OumElBouaghi 04000,
Algeria.
abdmath@hotmail.com
Abstract:
A general common fixed point theorem for compatible mappings satisfying an implicit relation is obtained by replacing the continuity of one mapping by the reciprocal continuity of two mappings.
Paper's Title:
A New HardyHilbert's Type Inequality for Double Series and its Applications
Author(s):
Mingzhe Gao
Department of Mathematics and Computer Science, Normal College Jishou University,
Jishou Hunan, 416000,
People's Republic of China
mingzhegao1940@yahoo.com.cn
Abstract:
In this paper, it is shown that a new HardyHilbert’s type inequality for double series can be established by introducing a parameter _{ }and the weight function of the form _{} where c is Euler constant and And the coefficient is proved to be the best possible. And as the mathematics aesthetics, several important constants _{ }and _{} appear simultaneously in the coefficient and the weight function when _{} In particular, for case _{} some new Hilbert’s type inequalities are obtained. As applications, some extensions of HardyLittlewood’s inequality are given.
Paper's Title:
Merit Functions and Error Bounds for Mixed Quasivariational Inequalities
Author(s):
Muhammad Aslam Noor
Mathematics Department, COMSATS Institute of Information Technology,
Islamabad, Pakistan
noormaslam@hotmail.com
Abstract:
It is well known that the mixed quasivariational inequalities are equivalent to the fixed point problems. We use this equivalent alternative formulation to construct some merit functions for mixed quasivariational inequalities and obtain error bounds under some conditions. Since mixed quasivariational inequalities include the classical variational inequalities and the complementarity problems as special cases, our results continue to hold for these problems.
Paper's Title:
A New Family of Periodic Functions as Explicit Roots of a Class of Polynomial Equations
Author(s):
M. Artzrouni
Department of Mathematics, University of Pau
64013 Pau Cedex
Pau, France
marc.artzrouni@univpau.fr
URL: http://www.univpau.fr/~artzroun
Abstract:
For any positive integer n a new family of periodic functions in power series form and of period n is used to solve in closed form a class of polynomial equations of order n. The n roots are the values of the appropriate function from that family taken at 0, 1, ... , n1.
Paper's Title:
The Voronovskaja Type Theorem for the Stancu Bivariate Operators
Author(s):
Ovidiu T. Pop
National College "Mihai Eminescu",
5 Mihai Eminescu Street,
Satu Mare 440014, Romania
Vest University "Vasile Goldis" of
Arad, Branch of Satu Mare,
26 Mihai Viteazul Street
Satu Mare 440030, Romania
ovidiutiberiu@yahoo.com
Abstract:
In this paper, the Voronovskaja type theorem for the Stancu bivariate operators is established. As particular cases, we shall obtain the Voronovskaja type theorem for the Bernstein and Schurer operators.
Paper's Title:
Note on the Rank of Birkhoff Interpolation
Author(s):
J. RubióMassegú
Applied Mathematics III, Universitat Politčcnica de Catalunya,
Colom 1, 08222, Terrassa,
Spain
josep.rubio@upc.edu
Abstract:
The relationship between a variant of the rank of a univariate Birkhoff interpolation problem, called normal rank, and other numbers of interest associated to the interpolation problem is studied.
Paper's Title:
Generalized Hypergeometric Functions Defined on the Class of Univalent Functions
Author(s):
N. Marikkannan, A. Gangadharan and C. Ganesamoorthy
Department of Applied Mathematics,
Sri Venkateswara College of Engineering,
Sriperumbudur 602105,
India.
mari@svce.ac.in
Department of Applied mathematics,
Sri Venkateswara College of Engineering,
Sriperumbudur 602105,
India.
ganga@svce.ac.in
Department of Mathematics,
Alagappa university,
Karaikudi,
India.
ganesamoorthyc@yahoo.com
Abstract:
Let A denotes the class of all analytic functions f(z), normalized by the condition f'(0)1=f(0)=0 defined on the open unit disk Δ and S be the subclass of A containing univalent functions of A. In this paper, we find the sufficient conditions for hypergeometric functions defined on S to be in certain subclasses of A, like kUCV, kST
Paper's Title:
Salageantype Harmonic Univalent Functions with Respect to Symmetric Points
Author(s):
R. A. AlKhal and H. A. AlKharsani
Department of Mathematics, Faculty of Science, Girls College,
P.O. Box 838,
Dammam, Saudi Arabia
ranaab@hotmail.com
hakh@hotmail.com
Abstract:
A necessary and sufficient coefficient are given for functions in a class of complexvalued harmonic univalent functions of the form f=h+\g using Salagean operator where h and g are analytic in the unit disk U = {z:z<1}. Furthermore, distortion theorems, extreme points, convolution condition, and convex combinations for this family of harmonic functions are obtained.
Paper's Title:
Komatu Integral Transforms of Analytic Functions Subordinate to Convex Functions
Author(s):
T. N. Shanmugam and C. Ramachandran
Department of Mathematics, College of Engineering,
Anna University, Chennai600 025, Tamilnadu,
India
shan@annauniv.edu
Department of Mathematics, College of Engineering,
Anna University, Chennai600 025, Tamilnadu,
India
crjsp2004@yahoo.com
Abstract:
In this paper, we consider the class A of the functions f(z) of the form
which are analytic in an open disk
and study certain subclass of the class A, for which
has some property. Certain inclusion and the closure properties like convolution with convex univalent function etc. are studied.
Paper's Title:
Weighted Generalization of the Trapezoidal Rule via Fink Identity
Author(s):
S. Kovač, J. Pečarić and A. Vukelić
Faculty of Geotechnical Engineering, University of Zagreb,
Hallerova aleja 7, 42000 Varaždin,
Croatia.
sanja.kovac@gtfvz.hr
Faculty of Textile Technology, University of Zagreb,
Pierottijeva 6, 10000 Zagreb,
Croatia.
pecaric@hazu.hr
Faculty of Food Technology and Biotechnology, Mathematics department, University of Zagreb,
Pierottijeva 6, 10000 Zagreb,
Croatia.
avukelic@pbf.hr
Abstract:
The weighted Fink identity is given and used to obtain generalized weighted trapezoidal formula for ntime differentiable functions. Also, an error estimate is obtained for this formula.
Paper's Title:
Power and EulerLagrange Norms
Author(s):
Mohammad Sal Moslehian and John Michael Rassias
Department of Mathematics,
Ferdowsi University,
P. O. Box 1159, Mashhad 91775,
Iran;
Department of Pure Mathematics,
University of Leeds,
Leeds LS2 9JT,
United Kingdom.
moslehian@ferdowsi.um.ac.ir
URL: http://www.um.ac.ir/~moslehian/
Pedagogical Department, E.E., Section of Mathematics and Informatics
National and Capodistrian University of Athens,
4, Agamemnonos str., Aghia Paraskevi, Attikis 15342, Athens,
Greece.
jrassias@primedu.uoa.gr
URL: http://www.primedu.uoa.gr/~jrassias/
Abstract:
We introduce the notions of power and EulerLagrange norms by replacing the triangle inequality, in the definition of norm, by appropriate inequalities. We prove that every usual norm is a power norm and vice versa. We also show that every norm is an EulerLagrange norm and that the converse is true under certain condition.
Paper's Title:
The Iterated Variational Method for the Eigenelements of a Class of TwoPoint Boundary Value Problems
Author(s):
Muhammed I. Syam and Qasem M. AlMdallal
Department of Mathematical Sciences, College of Science, UAE University,
P. O. Box 17551, AlAin,
United Arab Emirates
Q.Almdallal@uaeu.ac.ae
M.Syam@uaeu.ac.ae
Abstract:
The iterated variational method is considered in the approximation of eigenvalues and eigenfunctions for a class of two point boundary value problems. The implementation of this method is easy and competes well with other methods. Numerical examples are presented to show the efficiency of the method proposed. Comparison with the work of others is also illustrated.
Paper's Title:
On Interaction of Discontinuous Waves in a Gas with Dust Particles
Author(s):
J. Jena
Department of Mathematics, Netaji Subhas institute of technology,
Sector3, Dwarka, New Delhi  110 075,
India.
jjena67@rediffmail.com
jjena@nsit.ac.in
Abstract:
In this paper, the interaction of the strong shock with the weak discontinuity has been investigated for the system of partial differential equations describing one dimensional unsteady plane flow of an inviscid gas with large number of dust particles. The amplitudes of the reflected and transmitted waves after interaction of the weak discontinuity through a strong shock are evaluated by exploiting the results of general theory of wave interaction.
Paper's Title:
Two Classes of Completely Monotonic Functions Involving Gamma and Polygamma Functions
Author(s):
BaiNi Guo, XiaoAi Li and Feng Qi
School of Mathematics and Informatics,
Henan Polytechnic University,
Jiaozuo City, Henan Province, 454010,
China.
bai.ni.guo@gmail.com
College of Mathematics and Information Science,
Henan Normal University, Xinxiang City,
Henan Province, 453007,
China.
lxa.hnsd@163.com
Research Institute of Mathematical Inequality Theory,
Henan Polytechnic University, Jiaozuo City,
Henan Province, 454010,
China
qifeng618@gmail.com
qifeng618@hotmail.com
qifeng618@qq.com
URLhttp://rgmia.vu.edu.au/qi.html
Abstract:
The function
is logarithmically completely monotonic in (0,∞) if and only if c≥1
and its reciprocal is logarithmically completely monotonic in (0,∞) if and only if
c≤0. The function
is completely monotonic in (0,∞) if and only if c≥1 and its
negative is completely monotonic in (0,∞) if and only if c≤0.
Paper's Title:
Existence of Large Solutions to NonMonotone Semilinear Elliptic Equations
Author(s):
Alan V. Lair, Zachary J. Proano, and Aihua W. Wood
Air Force Institute of Technology
2950 Hobson Way, AFIT/ENC
WrightPatterson Air Force Base, OH, 454337765,
USA.
Aihua.Wood@afit.edu
URL: www.afit.edu
Abstract:
We study the existence of large solutions of the semilinear elliptic equation Δu=p(x)f(u) where f is not monotonic. We prove existence, on bounded and unbounded domains, under the assumption that f is Lipschitz continuous, f(0) = 0, f(s) > 0 for s > 0 and there exists a nonnegative, nondecreasing Hölder continuous function g and a constant M such that g(s) ≤ f(s) ≤ Mg(s) for large s. The nonnegative function p is allowed to be zero on much of the domain.
Paper's Title:
On Oscillation of SecondOrder Delay Dynamic Equations on Time Scales
Author(s):
S. H. Saker
Department of Mathematics, Faculty of Science,
Mansoura University, Mansoura, 35516,
Egypt.
shsaker@mans.edu.eg
Abstract:
Some new oscillation criteria for secondorder linear delay dynamic equation on a time scale T are established. Our results improve the recent results for delay dynamic equations and in the special case when T=R, the results include the oscillation results established by Hille [1948, Trans. Amer. Math. Soc. 64 (1948), 234252] and Erbe [Canad. Math. Bull. 16 (1973), 4956.] for differential equations. When T=Z the results include and improve some oscillation criteria for difference equations. When T=hZ, h>0, T=q^{N} and T=N^{2}, i.e., for generalized second order delay difference equations our results are essentially new and can be applied on different types of time scales. An example is considered to illustrate the main results.
Paper's Title:
Oscillation and Boundedness of Solutions to First and Second Order Forced Dynamic Equations with Mixed Nonlinearities
Author(s):
Ravi P. Agarwal and Martin Bohner
Department of Mathematical Sciences, Florida Institute of Technology
Melbourne, FL 32901,
U.S.A.
bohner@mst.edu
URL:http://web.mst.edu/~bohner
Department of Economics and Finance, Missouri University of Science and Technology
Rolla, MO 65401,
U.S.A.
agarwal@fit.edu
Abstract:
Some oscillation and boundedness criteria for solutions to certain first and second order forced dynamic equations with mixed nonlinearities are established. The main tool in the proofs is an inequality due to Hardy, Littlewood and Pólya. The obtained results can be applied to differential equations, difference equations and qdifference equations. The results are illustrated with numerous examples.
Paper's Title:
On a Subclass of Uniformly Convex Functions Defined by the DziokSrivastava Operator
Author(s):
M. K. Aouf and G. Murugusundaramoorthy
Mathematics Department, Faculty of Science,
Mansoura University 35516,
Egypt.
mkaouf127@yahoo.com
School of Science and Humanities, VIT University
Vellore  632014,
India.
gmsmoorthy@yahoo.com
Abstract:
Making use of the DziokSrivastava operator, we define a new subclass T^{l}_{m}([α_{1}];α,β) of uniformly convex function with negative coefficients. In this paper, we obtain coefficient estimates, distortion theorems, locate extreme points and obtain radii of closetoconvexity, starlikeness and convexity for functions belonging to the class T^{l}_{m}([α_{1}];α,β) . We consider integral operators associated with functions belonging to the class H^{l}_{m}([α_{1}];α,β) defined via the DziokSrivastava operator. We also obtain several results for the modified Hadamard products of functions belonging to the class T^{l}_{m}([α_{1}];α,β) and we obtain properties associated with generalized fractional calculus operators.
Paper's Title:
Certain Inequalities for P_Valent Meromorphic Functions with Alternating Coefficients Based on Integral Operator
Author(s):
A. Ebadian, S. Shams and Sh. Najafzadeh
Department of Mathematics, Faculty of Science
Urmia University, Urmia,
Iran
a.ebadian@mail.urmia.ac.ir
sa40shams@yahoo.com
Department of Mathematics, Faculty of Science
Maragheh University, Maragheh,
Iran
Shnajafzadeh@yahoo.com
Abstract:
In this paper we introduce the class of functions regular and multivalent in the and satisfying
where
is
a linear operator.
Coefficient inequalities, distortion bounds, weighted mean and
arithmetic mean of functions for this class have been obtained.
Paper's Title:
Error Inequalities for Weighted Integration Formulae and Applications
Author(s):
Nenad Ujević and Ivan Lekić
Department of Mathematics
University of Split
Teslina 12/III, 21000 Split
CROATIA.
ujevic@pmfst.hr
ivalek@pmfst.hr
Abstract:
Weighted integration formulae are derived. Error inequalities for the weighted integration formulae are obtained. Applications to some special functions are also given.
Paper's Title:
Reverses of the CBS Integral Inequality in Hilbert Spaces and Related Results
Author(s):
I. Brnetić, S. S. Dragomir, R. Hoxha and J. Pečarić
Department of Applied Mathematics, Faculty of Electrical
Engineering and Computing,
University of Zagreb, Unska 3, 10 000 Zagreb,
Croatia
andrea@zpm.fer.hr
School of Computer Science & Mathematics, Victoria University
Po Box 14428, Melbourne Vic 8001
Australia
sever.dragomir@vu.edu.au
URL:http://rgmia.vu.edu.au/dragomir
Faculty of Applied Technical Sciences, University of Prishtina,
Mother
Theresa 5, 38 000 Prishtina
Kosova
razimhoxha@yahoo.com
Faculty of Textile Technology, University of Zagreb,
Pierottijeva 6, 10000
Zagreb,
Croatia
pecaric@hazu.hr
Abstract:
There are many known reverses of the CauchyBunyakovskySchwarz (CBS) inequality in the literature. We obtain here a general integral inequality comprising some of those results and also provide other related inequalities. The discrete case, which is of interest in its own turn, is also analysed.
Paper's Title:
Contact With Adhesion between a Deformable Body and a Foundation
Author(s):
B. Teniou and M. Sofonea
Laboratoire de Mathematiques Appliquées et Modélisation,
Université Mentouri, Constantine 25000,
Algeria
tenioubou2@yahoo.fr
Laboratoire de Mathématiques et Physiques pour les Systémes,
Univesité de Perpignan,
France.
sofonea@univperp.fr
Abstract:
The aim of this work is study a dynamic contact problem between a deformable body and a foundation where the deformations are supposed to be small. The contact is with adhesion and normal compliance. The behavior of this body is modeled by a nonlinear elasticviscoplastic law. The evolution of bonding field is described by a nonlinear differential equation. We derive a variational formulation of the contact problem and we prove the existence and uniqueness of its solution. The proof is based on the construction of three intermediate problems and then we construct a contraction mapping whose unique fixed point will be the weak solution of the mechanical problem.
Paper's Title:
Strongly Nonlinear Variational Parabolic Problems in Weighted Sobolev Spaces
Author(s):
L. Aharouch, E. Azroul and M. Rhoudaf
Dép. Math. Faculté des Sciences DharMahraz
B.P 1796 Atlas Fés,
Maroc.
rhoudaf_mohamed@yahoo.fr
Abstract:
In this paper , we study the existence of a weak solutions for the initialboundary value problems of the strongly nonlinear degenerated parabolic equation,
∂u  +A(u)+g(x,t,u,∇ u)=f 
∂t 
where A is a Leraylions operator acted from L^{p}(0,T,W_{0}^{1,p}(Ώ,w)) into its dual. g(x,t,u,∇ u) is a nonlinear term with critical growth condition with respect to ∇ u and no growth with respect to u. The source term f is assumed to belong to L^{p'}(0,T,W^{1,p'}(Ώ,w^{*})).
Paper's Title:
Some Properties of the Solution of a Second Order Elliptic Abstract Differential Equation
Author(s):
A. Aibeche and K. Laidoune
Mathematics Department, Faculty of Sciences,
University Ferhat Abbas, Setif,
Route de Scipion, 19000,
Setif,
Algeria
aibeche@univsetif.dz
Abstract:
In this paper we study a class of non regular boundary value problems for elliptic differentialoperator equation of second order with an operator in boundary conditions. We give conditions which guarantee the coerciveness of the solution of the considered problem, the completeness of system of root vectors in Banachvalued functions spaces and we establish the Abel basis property of this system in Hilbert spaces. Finally, we apply this abstract results to a partial differential equation in cylindrical domain.
Paper's Title:
A Method for Solving Systems of Nonlinear Equations
Author(s):
J. Shokri
Department of Mathematics, Urmia University,
P. O. Box 165, Urmia,
Iran
j.shokri@urmia.ac.ir
Abstract:
In this paper, we suggest and analyze a new twostep iterative method for solving nonlinear equation systems using the combination of midpoint quadrature rule and Trapezoidal quadrature rule. We prove that this method has quadratic convergence. Several examples are given to illustrate the efficiency of the proposed method.
Paper's Title:
A Double Inequality for Divided Differences and Some Identities of the Psi and Polygamma Functions
Author(s):
B. N. Guo and F. Qi
School of
Mathematics and Informatics, Henan Polytechnic University, Jiaozuo City, Henan
Province, 454010, China
bai.ni.guo@gmail.com,
bai.ni.guo@hotmail.com
School of
Research Institute of Mathematical Inequality Theory, Henan Polytechnic University, Jiaozuo City, Henan Province, 454010, China
qifeng618@gmail.com,
qifeng618@hotmail.com,
qifeng618@qq.com
URL:http://qifeng618.spaces.live.com
Abstract:
In this short note, from the logarithmically completely monotonic property of the function ^{ }, a double inequality for the divided differences and some identities of the psi and polygamma functions are presented.
Paper's Title:
On Stan Ulam and his Mathematics
Author(s):
Krzysztof Ciesielski and Themistocles M. Rassias
Mathematics Institute, Jagiellonian University,
Łjasiewicza 6,
30348 Kraków,
Poland
Department of Mathematics. National Technical University of Athens,
Zografou
Campus, 15780 Athens,
Greece
Krzysztof.Ciesielski@im.uj.edu.pl
trassias@math.ntua.gr
Abstract:
In this note we give a glimpse of the curriculum vitae of Stan Ulam, his personality and some of the mathematics he was involved in.
Paper's Title:
On the Convergence in Law of Iterates of RandomValued Functions
Author(s):
Karol Baron
Uniwersytet
Śląski,
Instytut Matematyki
Bankowa 14,
PL40007 Katowice,
Poland
baron@us.edu.pl
Abstract:
Given a probability space (Ω, A, P) a separable and complete metric space X with the σalgebra B of all its Borel subsets and a B A measurable f : X * Ω → X we consider its iterates f^{n}, n N, defined on X * Ω^{N} by f^{1}(x,ω) = f(x,ω_{1}) and f^{n+1}(x,ω)=f(f^{n}(x,ω),ω_{n+1}), provide a simple criterion for the convergence in law of f^{n}(x,·))_{ n N}, to a random variable independent of x X , and apply this criterion to linear functional equations in a single variable.
Paper's Title:
On a Method of Proving the HyersUlam Stability of Functional Equations on Restricted Domains
Author(s):
Janusz Brzdęk
Department of Mathematics
Pedagogical University Podchorąźych 2,
30084 Kraków,
Poland
jbrzdek@ap.krakow.pl
Abstract:
We show that generalizations of some (classical) results on the HyersUlam stability of functional equations, in several variables, can be very easily derived from a simple result on stability of a functional equation in single variable
Paper's Title:
On the Generalized Stability and Asymptotic Behavior of Quadratic Mappings
Author(s):
HarkMahn Kim, SangBaek Lee and Eunyoung Son
Department of Mathematics
Chungnam National University
Daejeon,
305764,
Republic of Korea
hmkim@cnu.ac.kr
Abstract:
We extend the stability of quadratic mappings to the stability of general quadratic mappings with several variables, and then obtain an improved asymptotic property of quadratic mappings on restricted domains.
Paper's Title:
Differentiability of Distance Functions in pNormed Spaces
Author(s):
M. S. Moslehian, A. Niknam, S. Shadkam Torbati
Department of Pure Mathematics,
Centre of Excellence in Analysis on Algebraic Structures (CEAAS),,
Ferdowsi University of Mashhad,
P. O. Box
1159, Mashhad,
Iran
moslehian@ferdowsi.um.ac.ir
niknam@math.um.ac.ir
shadkam.s@wali.um.ac.ir
Abstract:
The farthest point mapping in a pnormed space X is studied in virtue of the Gateaux derivative and the Frechet derivative. Let M be a closed bounded subset of X having the uniformly pGateaux differentiable norm. Under certain conditions, it is shown that every maximizing sequence is convergent, moreover, if M is a uniquely remotal set then the farthest point mapping is continuous and so M is singleton. In addition, a HahnBanach type theorem in $p$normed spaces is proved.
Paper's Title:
Stability of Almost Multiplicative Functionals
Author(s):
Norio Niwa, Hirokazu Oka, Takeshi Miura and SinEi Takahasi
Faculty of Engineering, Osaka ElectroCommunication University,
Neyagawa 5728530,
Japan
Faculty of Engineering, Ibaraki University,
Hitachi 3168511,
Japan
Department of Applied Mathematics and Physics, Graduate School of
Science and Engineering,
Yamagata University,
Yonezawa 9928510
Japan
oka@mx.ibaraki.ac.jp
miura@yz.yamagatau.ac.jp
sinei@emperor.yz.yamagatau.ac.jp
Abstract:
Let δ and p be nonnegative real numbers. Let be the real or complex number field and a normed algebra over . If a mapping satisfies
then we show that φ is multiplicative or for all If, in addition, φ satisfies
for some p≠1, then by using HyersUlamRassias stability of additive Cauchy equation, we show that φ is a ring homomorphism or for all In other words, φ is a ring homomorphism, or an approximately zero mapping. The results of this paper are inspired by Th.M. Rassias' stability theorem.
Paper's Title:
HyersUlamRassias Stability of a Generalized Jensen Functional Equation
Author(s):
A. Charifi, B. Bouikhalene, E. Elqorachi and A. Redouani
Department of
Mathematics, Faculty of Sciences,
Ibn Tofail University,
Kenitra, Morocco
charifi2000@yahoo.fr
bbouikhalene@yahoo.fr
Department of
Mathematics, Faculty of Sciences,
Ibn Zohr University,
Agadir, Morocco
elqorachi@hotmail.com
Redouaniahmed@yahoo.fr
Abstract:
In this paper we obtain the HyersUlamRassias stability for the generalized Jensen's functional equation in abelian group (G,+). Furthermore we discuss the case where G is amenable and we give a note on the HyersUlamstability of the Kspherical (n × n)matrix functional equation.
Paper's Title:
Superquadracity, Bohr's Inequality and Deviation from a Mean Value
Author(s):
S. Abramovich, J. Barić, and J. Pečarić
Department of Mathematics, University of Haifa,
Haifa, 31905,
Israel
abramos@math.haifa.ac.il
FESB, University of Split,
Rudera Bošcovića,
B.B., 21000, Split,
Croatia
jbaric@fesb.hr
Faculty of Textile Technology,
University of Zagreb,
Prilaz Baruna Filipovića,
30, 10000 Zagreb,
Croatia.
pecaric@hazu.hr
Abstract:
Extensions of Bohr's inequality via superquadracity are obtained, where instead of the power p=2 which appears in Bohr's inequality we get similar results when we deal with p≥ 2 and with p≤ 2. Also, via superquadracity we extend a bound for deviation from a Mean Value.
Paper's Title:
Neighborhoods of Certain Subclasses of Analytic Functions of Complex Order with Negative Coefficients
Author(s):
B. Srutha Keerthi, B. Adolf Stephen, A. Gangadharan, and S. Sivasubramanian
Department of Applied Mathematics,
Sri Venkateswara College of Engineering,
Sriperumbudur, Chennai  602105,
India.
sruthilaya06@yahoo.co.in
Department of Mathematics,
Madras Christian College,
Chennai  600059,
India
adolfmcc2003@yahoo.co.in
Department of Applied Mathematics,
Sri Venkateswara College of Engineering,
Sriperumbudur, Chennai  602105,
India.
ganga@svce.ac.in
Department of Mathematics,
Easwari Engineering College,
Ramapuram, Chennai  600089,
India
sivasaisastha@rediffmail.com
Abstract:
The main object of this paper is to prove several inclusion relations associated with the (n, δ) neighborhoods of various subclasses of convex functions of complex order by making use of the known concept of neighborhoods of analytic functions.
Paper's Title:
The RiemannStieltjes Integral on Time Scales
Author(s):
D. Mozyrska, E. Pawłuszewicz, D. Torres
Faculty Of Computer Science,
Białystok University Of Technology,
15351 Białystok,
Poland
d.mozyrska@pb.edu.pl
Department Of Mathematics,
University Of Aveiro,
3810193 Aveiro,
Portugal
ewa@ua.pt
Department Of Mathematics,
University Of Aveiro,
3810193 Aveiro,
Portugal
delfim@ua.pt
Abstract:
We study the process of integration on time scales in the sense of RiemannStieltjes. Analogues of the classical properties are proved for a generic time scale, and examples are given
Paper's Title:
A Coincidence Theorem for Two Kakutani Maps
Author(s):
Mircea Balaj
Department of Mathematics,
University of Oradea,
410087, Oradea,
Romania.
mbalaj@uoradea.ro
Abstract:
In this paper we prove the following theorem: Let X be a nonempty compact convex set in a locally convex Hausdorff topological vector space, D be the set of its extremal points and F,T: X―◦X two Kakutani maps; if for each nonempty finite subset A of D and for any x ∈ coA, F (x) ∩ coA ≠ Ř, then F and T have a coincidence point. The proof of this theorem is given first in the case when X is a simplex, then when X is a polytope and finally in the general case. Several reformulations of this result are given in the last part of the paper.
Paper's Title:
Nontrivial Solutions of Singular Superlinear Threepoint Boundary Value Problems at Resonance
Author(s):
Feng Wang, Fang Zhang
School of Mathematics and Physics,
Changzou University,
Changzhou, 213164,
China.
fengwang188@163.com
Abstract:
The singular superlinear second order threepoint boundary value problems at resonance
are considered under some conditions concerning the first eigenvalues corresponding to the relevant linear operators, where n ∈ (0,1) is a constant, f is allowed to be singular at both t=0 and t=1. The existence results of nontrivial solutions are given by means of the topological degree theory.
Paper's Title:
Approximation of Derivatives in a Singularly Perturbed Second Order Ordinary Differential Equation with Discontinuous Terms Arising in Chemical Reactor Theory
Author(s):
R. Mythili Priyadharshini and N. Ramanujam
Department of Mathematics, Bharathidasan University,
Tiruchirappalli  620 024, Tamilnadu, India.
matram2k3@yahoo.com
URL:
http://www.bdu.ac.in/depa/science/ramanujam.htm
Abstract:
In this paper, a singularly perturbed second order ordinary differential equation with a discontinuous convection coefficient arising in chemical reactor theory is considered. A robustlayerresolving numerical method is suggested. An εuniform global error estimate for the numerical solution and also to the numerical derivative are established. Numerical results are provided to illustrate the theoretical results.
Paper's Title:
Solution of One Conjecture on Inequalities with PowerExponential Functions.
Author(s):
Seiichi Manyama
Graduate School of Science
Osaka University
Japan
manchanr4@gmail.com
Abstract:
In this paper, we prove the open inequality a^{ea}+b^{eb}≥ a^{eb}+b^{ea} for all positive real numbers a and b.
Paper's Title:
Two Remarks on Commutators of Hardy Operator
Author(s):
Yasuo KomoriFuruya
School of High Technology for Human Welfare
Tokai University
317 Nishino Numazu, Shizuoka 4100395 Japan
komori@wing.ncc.utokai.ac.jp
Abstract:
Fu and Lu showed that
the commutator of multiplication operator by b and
the ndimensional Hardy operator
is bounded on L^{p} if b is in some CMO space.
We shall prove the converse of this theorem
and also prove that their result is optimal by giving a counterexample
Paper's Title:
The Best Upper Bound for Jensen's Inequality
Author(s):
Vasile Cirtoaje
Department of Automatic Control and Computers
University of Ploiesti
Romania.
Abstract:
In this paper we give the best upper bound for the weighted Jensen's discrete inequality applied to a convex function f defined on a closed interval I in the case when the bound depends on f, I and weights. In addition, we give a simpler expression of the upper bound, which is better than existing similar one.
Paper's Title:
Common Fixed Point Results for Banach Operator Pairs and Applications to Best Approximation
Author(s):
Hemant Kumar Nashine
Department of Mathematics,
Disha Institute of Management and Technology,
Satya Vihar, Vidhansabha  Chandrakhuri Marg (Baloda Bazar Road),
Mandir Hasaud,
Raipur  492101(Chhattisgarh), India.
hemantnashine@rediffmail.com
nashine_09@rediffmail.com
Abstract:
The common fixed point results for Banach operator pair with generalized nonexpansive mappings in qnormed space have been obtained in the present work. As application, some more general best approximation results have also been determined without the assumption of linearity or affinity of mappings. These results unify and generalize various existing known results with the aid of more general class of noncommuting mappings.
Paper's Title:
A New Method for Comparing Closed Intervals
Author(s):
Ibraheem Alolyan
Department of Mathematics, College of Sciences,
King Saud University, P. O. Box 2455, Riyadh 11451,
Saudi Arabia
ialolyan@ksu.edu.sa
URL:http://faculty.ksu.edu.sa/ALolyan
Abstract:
The usual ordering ``≤" on R is a total ordering, that is, for any two real numbers in R, we can determine their order without difficulty. However, for any two closed intervals in R, there is not a natural ordering among the set of all closed intervals in R. Several methods have been developed to compare two intervals. In this paper, we define the μordering which is a new method for ordering closed intervals.
Paper's Title:
A New Property of General Means of Order p with an Application to the Theory of Economic Growth
Author(s):
Olivier de La Grandville
Department of Management Science and Engineering,
Huang Engineering Center, Stanford University,
475 Via Ortega, Stanford, California 94305
U.S.A.
Abstract:
The purpose of this note is to demonstrate a new property of the general mean of order p of m ordered positive numbers . If p < 0 and if , the elasticity of with respect to x_{m}, defined by , tends towards zero, and therefore . This property is then applied to optimal growth theory.
Paper's Title:
Sharp L^{p} Improving Results for Singular Measures on C^{n+1}
Author(s):
E. Ferreyra, M. Urciuolo
FaMAFCIEM,
Universidad Nacional de CórdobaConicet,
Ciudad Universitaria, 5000 Córdoba,
Argentina
eferrey@famaf.unc.edu.ar
urciuolo@famaf.unc.edu.ar
Abstract:
For j=1,...,n, let Ω_{j} be open sets of the complex plane and let φ_{j} be holomorphic functions on Ω_{j} such that φ_{j}^{''} does not vanish identically on Ω_{j.} We consider φ(z_{1},...,z_{n}) =φ_{1}(z_{1}) +...+φ_{n}(z_{n}). We characterize the pairs (p,q) such that the convolution operator with the surface measure supported on a compact subset of the graph of φ is pq bounded.
Paper's Title:
On Weighted Toeplitz Operators
Author(s):
S. C. Arora and Ritu Kathuria
Department of Mathematics,
University of Delhi,
Delhi 110007,
India.
Department of Mathematics,
Motilal Nehru College, University of Delhi,
Delhi 110021,
India.
Abstract:
A weighted Toeplitz operator on H^{2}(β) is defined as T_{φ}f=P(φf) where P is the projection from L^{2}(β) onto H^{2}(β) and the symbol φ ∈ L^{2}(β) for a given sequence β=‹β_{n}›_{n∈ Z} of positive numbers. In this paper, a matrix characterization of a weighted multiplication operator on L^{2}β is given and it is used to deduce the same for a weighted Toeplitz operator. The eigenvalues of some weighted Toeplitz operators are also determined.
Paper's Title:
On the Inequality with PowerExponential Function
Author(s):
Seiichi Manyama
Graduate School of Science
Osaka University
Japan
manchanr4@gmail.com
Abstract:
In this paper, we prove the inequality < for 0<a<b. Other related conjectures are also presented.
Paper's Title:
On the Inequality
Author(s):
A. Coronel and F. Huancas
Departamento de Ciencias Básicas,
Facultad de Ciencias, Universidad del BíoBío, Casilla 447,
Campus Fernando May, Chillán, Chile.
acoronel@roble.fdomay.ubiobio.cl
Departamento Académico de Matemática,
Facultad de Ciencias Físicas y Matemáticas,
Universidad Nacional Pedro Ruiz Gallo, Juan XIII s/n,
Lambayeque, Perú
Abstract:
In this paper we give a complete proof of for all positive real numbers a, b and c. Furthermore, we present another way to prove the statement for
Paper's Title:
Fejértype Inequalities
Author(s):
Nicuşor Minculete and FlaviaCorina Mitroi
"Dimitrie Cantemir" University,
107 Bisericii Române Street, Braşov, 500068,
România
minculeten@yahoo.com
University of Craiova, Department of Mathematics,
Street A. I. Cuza
13, Craiova, RO200585,
Romania
fcmitroi@yahoo.com
Abstract:
The aim of this paper is to present some new Fejértype results for convex functions. Improvements of Young's inequality (the arithmeticgeometric mean inequality) and other applications to special means are pointed as well.
Paper's Title:
Some Distortion and Other Properties Associated with a Family of the nFold Symmetric Koebe Type Functions
Author(s):
H. M. Srivastava, N. Tuneski and E. GeorgievaCelakoska
Department of Mathematics and Statistics,
University of Victoria,
Victoria, British Columbia V8W 3R4,
Canada
Faculty of Mechanical Engineering, St.
Cyril and Methodius University,
Karpo'v s II b.b., MK1000 Skopje,
Republic of Macedonia
Abstract:
In a recent work by Kamali and Srivastava [5], a certain family of the nfold symmetric Koebe type functions was introduced and studied systematically. In an earlier investigation, Eguchi and Owa [4] had considered its special case when n=1 (see also [10]). Here, in our present sequel to these earlier works, this general family of the nfold symmetric Koebe type functions is studied further and several distortion theorems and such other properties as the radii of spirallikeness, the radii of starlikeness and the radii of convexity, which are associated with this family of the nfold symmetric Koebe type functions, are obtained. We also provide certain criteria that embed this family of the nfold symmetric Koebe type functions in a function class G_{λ} which was introduced and studied earlier by Silverman [7].
Paper's Title:
On Convergence Theorems of an Implicit Iterative Process with Errors for a Finite Family of Asymptotically quasi Inonexpansive Mappings
Author(s):
Farrukh Mukhamedov and Mansoor Saburov
Department of Computational & Theoretical
Sciences,
Faculty of Sciences, International Islamic University Malaysia,
P.O. Box, 141, 25710, Kuantan,
Malaysia
Abstract:
In this paper we prove the weak and strong convergence of the implicit iterative process with errors to a common fixed point of a finite family {T_{j}}^{N}_{i=1} of asymptotically quasi I_{j}nonexpansive mappings as well as a family of {Ij}^{N}_{j=1} of asymptotically quasi nonexpansive mappings in the framework of Banach spaces. The obtained results improve and generalize the corresponding results in the existing literature.
Paper's Title:
Some Identities for Ramanujan  Göllnitz  Gordon Continued fraction
Author(s):
M. S. Mahadeva Naika, B. N. Dharmendra and S. Chandan Kumar
Department of Mathematics,
Bangalore University,
Central College Campus,
Bangalore560 001,
INDIA
Department of Mathematics,
Maharani's Science College for Women,
J. L. B. Road, Mysore570 001,
INDIA
Abstract:
In this paper, we obtain certain PQ etafunction identities, using which we establish identities providing modular relations between RamanujanGöllnitzGordon continued fraction H(q) and H(q^n) for n= 2, 3, 4, 5, 7, 8, 9, 11, 13, 15, 17, 19, 23, 25, 29 and 55.
Paper's Title:
Multilinear Fractional Integral Operators on Herz Spaces
Author(s):
Yasuo KomoriFuruya
School of High Technology and Human Welfare,
Tokai University,
317 Nishino Numazu Shizuoka, 4100395
Japan
Abstract:
We prove the boundedness of the multilinear fractional integral operators of Kenig and Stein type on Herz spaces. We also show that our results are optimal.
Paper's Title:
C^{*}algebras Associated Noncommutative Circle and Their Ktheory
Author(s):
Saleh Omran
Taif University,
Faculty of Science,
Taif,
KSA
South Valley University,
Faculty of Science,
Math. Dep.
Qena,
Egypt
Abstract:
In this article we investigate the universal C^{*}algebras associated to certain 1  dimensional simplicial flag complexes which describe the noncommutative circle. We denote it by S_{1}^{nc}. We examine the Ktheory of this algebra and the subalgebras S_{1}^{nc}/I_{k}, I_{k} . Where I_{k}, for each k, is the ideal in S_{1}^{nc} generated by all products of generators h_{s} containing at least k+1 pairwise different generators. Moreover we prove that such algebra divided by the ideal I_{2} is commutative.
Paper's Title:
Renormalized Solutions for Nonlinear Parabolic Equation with Lower Order Terms
Author(s):
A. Aberqi^{1}, J. Bennouna^{1}, M. Mekkour^{1} and H. Redwane^{2}
^{1}Université Sidi Mohammed Ben
Abdellah,
Département de Mathématiques,
Laboratoire LAMA, Faculté des Sciences DharMahrez,
B.P 1796 Atlas Fés,
Morocco.
^{2}Faculté des Sciences
Juridiques, Economiques et Sociales,
Université Hassan 1, B.P. 784. Settat,
Morocco.
aberqiahmed@ya_hoo.fr
jbennouna@hotmail.com
mekkour.mounir@yahoo.fr
redwane_hicham@yahoo.fr
Abstract:
In this paper, we study the existence of renormalized solutions for the nonlinear parabolic problem: ,where the right side belongs to L^{1}(Ω×(0,T)) and b(u) is unbounded function of u, the term div(a(x,t,u,∇u)) is a LerayLions operator and the function φ is a nonlinear lower order and satisfy only the growth condition.
Paper's Title:
An Improvement of the HermiteHadamard Inequality for Functions Convex on the Coordinates
Author(s):
Milica Klaričić Bakula
Faculty of Science,
University of Split,
Teslina 12, 21000 Split.
Croatia
Email: milica@pmfst.hr
Abstract:
An improvement of the HermiteHadamard inequality for functions convex on the coordinates is given.
Paper's Title:
On the Sendov Conjecture for a Root Close to the Unit Circle
Author(s):
Indraneel G. Kasmalkar
Department of Mathematics,
University of California,
Berkeley, CA 94720
United States of America
Email: indraneelk@berkeley.edu
Abstract:
On Sendov's conjecture, T. Chijiwa quantifies the idea stated by V. Vâjâitu and A. Zaharescu (and M. J. Miller independently), namely that if a polynomial with all roots inside the closed unit disk has a root sufficiently close to the unit circle then there is a critical point at a distance of at most one from that root. Chijiwa provides an estimate of exponential order for the required 'closeness' of the root to the unit circle so that such a critical point may exist. In this paper, we will improve this estimate to polynomial order by making major modifications and strengthening inequalities in Chijiwa's proof.
Paper's Title:
Some New Nonlinear IntegroDifferential Inequalities of GronwallBellmanPachpatte Type
Author(s):
A. ABDELDAIM
Department of Mathematics and Computer
Sciences,
Faculty of Science,
Port Said University, Port Said,
EGYPT.
Department of Mathematics,
Faculty of Science and Humanities,
Shaqra University, Dawadmi,
SAUDI ARABIA.
Email:
ahassen@su.edu.sa
URL:
http://faculty.ksu.edu.sa/DRABDELDAIM/Pages/Home.aspx
Abstract:
In this paper we establish some new nonlinear integrodifferential inequalities of GronwallBellmanPachpatte type for function of one independent variable. The purpose of this paper is to extend certain results which proved by Pachpatte in [On some fundamental integrodifferential and integral inequalities, An. Sti. Univ. Al. I. Cuza, Iasi, Vol.23 (1977), 7786]. The inequalities obtained here can be used in the theory of some new classes of nonlinear integrodifferential equations. Some applications are also given to illustrate the usefulness of our results.
Paper's Title:
A Dynamic Contact Problem for an Electro Viscoelastic Body
Author(s):
Denche M. and Ait Kaki L.
Laboratoire Equations Differentielles,
Departement de Mathematiques,
Universite Constantine 1,
Algeria.
Ecole Normale Superieure,
Departement des Sciences Exactes et Informatique,
Plateau Mansourah, Constantine.
Algeria.
Email:
m.denche@umc.edu.dz
leilaitkaki@yahoo.fr
Abstract:
We consider a dynamic problem which describes a contact between a piezoelectric body and a conductive foundation. The frictionless contact is modelled with the normal compliance, the electric conditions are supposed almost perfect. We prove the existence of a unique weak solution for almost perfect electric contact.
Paper's Title:
Sufficient Conditions for Certain Types of Functions to be Parabolic Starlike
Author(s):
A. Gangadharan and S. Chinthamani
Department of Mathematics,
Easwari Engineering College,
Ramapuram, Chennai  89,
India.
Research Scholar,
Anna University,
Chennai
Email: ganga.megalai@gmail.com
Email: chinvicky@rediffmail.com
Abstract:
In this paper sufficient conditions are determined for functions of the form and certain other types of functions to be parabolic starlike.
Paper's Title:
Commutators of Hardy Type Operators
Author(s):
Chunping Xie
Department of Mathematics,
Milwaukee School of Engineering,
1025 N. Broadway,
Milwaukee, Wisconsin 53202,
USA.
Email:
xie@msoe.edu
URL:
http://www.msoe.edu/people/chunping.xie
Abstract:
The note deals with commutaors of the Hardy operator, Hardy type operators on Morrey spaces on R+. We have proved that the commutators generated by Hardy operator and Hardy type operators with a BMO function b are bounded on the Morrey spaces.
Paper's Title:
On the Biharmonic Equation with Nonlinear Boundary Integral Conditions
Author(s):
R. Hamdouche and H. Saker
L.M.A. Department of Mathematics, Faculty
of Sciences,
University of Badji Mokhtar,
P.O.Box 12. Annaba 23000,
Algeria.
Email: h_saker@yahoo.fr,
hmdch.rahma16@gmail.com
Abstract:
In the present work, we deal with the biharmonic problems in a bounded domain in the plane with the nonlinear boundary integral conditions. After applying the Boundary integral method, a system of nonlinear boundary integral equations is obtained. The result show that when the nonlinearity satisfies some conditions lead the existence and uniqueness of the solution.
Paper's Title:
Weak Type Inequalities for Some Operators on Generalized Morrey Spaces Over Metric Measure Spaces
Author(s):
Idha Sihwaningrum, Ari Wardayani, Hendra Gunawan
Faculty of Mathematics and Natural
Sciences,
Jenderal Soedirman University, Purwokerto 53122,
Indonesia.
Email: idha.sihwaningrum@unsoed.ac.id
ariwardayani@yahoo.co.id
Faculty of Mathematics and Natural
Sciences,
Bandung Institute of Technology, Bandung 40132,
Indonesia.
Email: hgunawan@math.itb.ac.id
URL:
http://personal.fmipa.itb.ac.id/hgunawan/
Abstract:
We discuss weak type inequalities for maximal and fractional integral operators on generalized Morrey spaces over metric measure spaces. Here the measure satisfies the so called growth condition. By taking into account the maximal operator, we obtain a Hedberg type inequality, which leads us to the weak type inequality for the fractional integral operator on the same spaces.
Paper's Title:
Bartle Integration in Lie Algebras
Author(s):
Andreas Boukas and Philip Feinsilver
Centro Vito Volterra,
Universita di Roma Tor Vergata,
via Columbia 2, 00133 Roma,
Italy.
Department of Mathematics,
Southern Illinois University,
Carbondale, Illinois 62901,
USA.
Email:
andreasboukas@yahoo.com
Email: pfeinsil@math.siu.edu
Abstract:
Using Bartle's bilinear vector integral we define stochastic integrals of bounded operator valued functions with respect to Stieltjes measures associated with the generators of the Heisenberg and Finite Difference Lie algebras. Our definition also covers the Square of White Noise and sl/2 Lie algebras.
Paper's Title:
Credibility Based Fuzzy Entropy Measure
Author(s):
G. Yari, M. Rahimi, B. Moomivand and P. Kumar
Department of Mathematics,
Iran University
of Science and Technology,
Tehran,
Iran.
Email:
Yari@iust.ac.ir
Email:
Mt_Rahimi@iust.ac.ir
URL:
http://www.iust.ac.ir/find.php?item=30.11101.20484.en
URL:
http://webpages.iust.ac.ir/mt_rahimi/en.html
Qarzolhasaneh
Mehr Iran Bank, Tehran,
Iran.
Email:
B.moomivand@qmb.ir
Department of Mathematics and Statistics,
University of Northern British Columbia,
Prince George, BC,
Canada.
Email:
Pranesh.Kumar@unbc.ca
Abstract:
Fuzzy entropy is the entropy of a fuzzy variable, loosely representing the information of uncertainty. This paper, first examines both previous membership and credibility based entropy measures in fuzzy environment, and then suggests an extended credibility based measure which satisfies mostly in Du Luca and Termini axioms. Furthermore, using credibility and the proposed measure, the relative entropy is defined to measure uncertainty between fuzzy numbers. Finally we provide some properties of this Credibility based fuzzy entropy measure and to clarify, give some examples.
Paper's Title:
Robust Error Analysis of Solutions to Nonlinear Volterra Integral Equation in L^{p} Spaces
Author(s):
Hamid Baghani, Javad FarokhiOstad and Omid Baghani
Department of Mathematics, Faculty of
Mathematics,
University of Sistan and Baluchestan, P.O. Box 98135674, Zahedan,
Iran.
Email:
h.baghani@gmail.com
Department of Mathematics, Faculty of
Basic Sciences,
Birjand University of Technology, Birjand,
Iran.
Email: j.farrokhi@birjandut.ac.ir
Department of Mathematics and Computer
Sciences,
Hakim Sabzevari University, P.O. Box 397, Sabzevar,
Iran.
Email:
o.baghani@gmail.com
Abstract:
In this paper, we propose a novel strategy for proving an important inequality for a contraction integral equations. The obtained inequality allows us to express our iterative algorithm using a "for loop" rather than a "while loop". The main tool used in this paper is the fixed point theorem in the Lebesgue space. Also, a numerical example shows the efficiency and the accuracy of the proposed scheme.
Paper's Title:
On The RayleighLove Rod Accreting In Both Length And CrossSectional Area: Forced And Damped Vibrations
Author(s):
M.L.G. Lekalakala^{1}, M. Shatalov^{2}, I. Fedotov^{3}, S.V. Joubert^{4}
^{1}Department
of Mathematics, Vaal University of Technology, P.O. Box 1889, Secunda, 2302,
South Africa.
Email^{1}:
glen@vut.ac.za
^{2,3,4}Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria, South Africa.
Abstract:
In this paper an elastic cylindrical rod that is subjected to forced and damped vibrations is considered. The rod is assumed to be isotropic. The applied external force of excitation is assumed to be harmonic, and the damping force is that of KelvinVoigt. The longitudinally vibrating rod is fixed at the left end and free at the other end. The rod is assumed to be accreting in length and crosssectional area as it vibrates. The problem arising and the dynamics of the vibrating rod are described and investigated within the RayleighLove theories of the rod. A partial differential equation describing the longitudinal displacement of the rod is formulated. The formulated partial differential equation, together with the corresponding boundary conditions as per the configuration of the rod, is solved numerically using the GalerkinKantorovich method. The frequency of vibration of the harmonic exciting force is kept constant in this investigation.
It is shown that in this periodically forced viscoelastic damped vibration, all the modes of vibration are subjected to the resonance behaviour within a proper time interval, depending on the length of the accreting rod.
Paper's Title:
A Generalization of Viete's Infinite Product and New Mean Iterations
Author(s):
Ryo Nishimura
Department of Frontier Materials
Nagoya Institute of Technology
Gokisocho, Showaku, Nagoya
Aichi, 4668555, Japan.
Email: rrnishimura@gmail.com
Abstract:
In this paper, we generalize Viéte's infinite product formula by use of Chebyshev polynomials. Furthermore, the infinite product formula for the lemniscate sine is also generalized. Finally, we obtain new mean iterations by use of these infinite product formulas.
Paper's Title:
A Note on Divergent Fourier Series and λPermutations
Author(s):
A. Castillo, J. Chavez and H. Kim
Tufts University,
Department of Mathematics,
Medford, MA 02155,
USA
Email: angel.castillo@tufts.edu
Texas Tech University,
Department of Mathematics and Statistics,
Lubbock, TX 79409,
USA
Email: josechavez5@my.unt.edu
University of MichiganDearborn,
Department of Mathematics and Statistics,
Dearborn, MI 48128,
USA.
Email: khyejin@umich.edu
Abstract:
We present a continuous function on [π,π] whose Fourier series diverges and it cannot be rearranged to converge by a λpermutation.
Paper's Title:
Applications of the Structure Theorem of (w_{1},w_{2})Tempered Ultradistributions
Author(s):
Hamed M. Obiedat and Lloyd E. Moyo
Department of Mathematics,
Hashemite University,
P.O.Box 150459, Zarqa13115,
Jordan.
Email: hobiedat@hu.edu.j
Department of Mathematics, Computer
Science & Statistics,
Henderson State University,
1100 Henderson Street, Arkadelphia, AR 71999,
USA.
Email: moyol@hsu.edu
Abstract:
Using a previously obtained structure theorem for (w_{1}, w_{2})tempered ultradistributions, we prove that these ultradistributions can be represented as initial values of solutions of the heat equation.
Paper's Title:
Iterative Approximation of Zeros of Accretive Type Maps, with Applications
Author(s):
Charles Ejike Chidume, Chinedu Godwin Ezea, and Emmanuel Ezzaka Otubo
African University of Science and
Technology, Abuja,
Nigeria.
Email: cchidume@aust.edu.ng
Email: chinedu.ezea@gmail.com
Email: mrzzaka@yahoo.com
Department of Mathematics,
Nnamdi Azikiwe University,
Awka,
Nigeria
Email: chinedu.ezea@gmail.com
Ebonyi State University,
Abakaliki,
Nigeria
Email: mrzzaka@yahoo.com
Abstract:
Let E be a reflexive real Banach space with uniformly Gâteaux differentiable norm. Let J:E→ E^{*} be the normalized duality map on E and let A:E^{*}→ E be a map such that AJ is an accretive and uniformly continuous map. Suppose that (AJ)^{1}(0) in nonempty. Then, an iterative sequence is constructed and proved to converge strongly to some u^{*} in (AJ)^{1}(0). Application of our theorem in the case that E is a real Hilbert space yields a sequence which converges strongly to a zero of A. Finally, nontrivial examples of maps A for which AJ is accretive are presented..
Paper's Title:
Existence of Positive Solutions for Nonlinear Fractional Differential Equations with Multipoint Boundary Conditions
Author(s):
N. Adjeroud
Khenchela University, Department of
Mathematics,
Khenchela, 40000,
Algeria.
Email: adjnac@gmail.com
Abstract:
This paper is devoted to the existence results of positive solutions for a nonlinear fractional differential equations with multipoint boundary conditions. By means of the Schauder fixed point theorem, some results on the existence are obtained.
Paper's Title:
Wavelet Frames in Higher Dimensional Sobolev Spaces
Author(s):
Raj Kumar, Manish Chauhan, and Reena
Department of Mathematics,
Kirori Mal College, University of Delhi,
New Delhi110007,
India.
Email: rajkmc@gmail.com
Department of Mathematics,
University of Delhi,
New Delhi110007,
India
Email: manish17102021@gmail.com
Department of Mathematics,
Hans Raj College, University of Delhi,
New Delhi110007,
India
Email: reena.bhagwat29@gmail.com
Abstract:
In this paper, we present sufficient condition for the sequence of vectors to be a frame for H^{s}(R^{d}) are derived. Necessary and sufficient conditions for the sequence of vectors to be tight wavelet frames in H^{s}(R^{d}) are obtained. Further, as an application an example of tight wavelet frames for H^{s}(R^{2}) as bivariate box spline over 3direction are given.
Paper's Title:
A Note on Calderon Operator
Author(s):
Chunping Xie
Department of Mathematics,
Milwaukee School of Engineering,
1025 N. Broadway,
Milwaukee, Wisconsin 53202,
U. S. A.
Email: xie@msoe.edu
URL: http://www.msoe.edu/people/chunping.xie
Abstract:
We have shown that the Calderon operator is bounded on Morrey Spaces on R^{+}. Also under certain conditions on the weight, the Hardy operator, the adjoint Hardy operator, and therefore the Caldern operator are bounded on the weighted Morrey spaces.
Paper's Title:
Coefficient Estimates for Certain Subclasses of Biunivalent Sakaguchi Type Functions by using Faber Polynomial
Author(s):
P. Murugabharathi, B. Srutha Keerthi
Mathematics Division,
School of Advanced Sciences,
VIT Chennai, Vandaloor, Kelambakkam Road,
Chennai  600 127, India.
Email: bharathi.muhi@gmail.com
Email: sruthilaya06@yahoo.co.in
Abstract:
In this work, considering a general subclass of biunivalent Sakaguchi type functions, we determine estimates for the general TaylorMaclaurin coefficients of the functions in these classes. For this purpose, we use the Faber polynomial expansions. In certain cases, our estimates improve some of those existing coefficient bounds.
Paper's Title:
A Comparison Between Two Different Stochastic Epidemic Models with Respect to the Entropy
Author(s):
Farzad Fatehi and Tayebe Waezizadeh
Department of Mathematics,
University of Sussex,
Brighton BN1 9QH,
UK.
Email: f.fatehi@sussex.ac.uk
URL:
http://www.sussex.ac.uk/profiles/361251
Department of Pure Mathematics, Faculty
of Mathematics and Computer,
Shahid Bahonar University of Kerman,
Kerman 7616914111,
Iran.
Email: waezizadeh@uk.ac.ir
URL:
http://academicstaff.uk.ac.ir/en/tavaezizadeh
Abstract:
In this paper at first a brief history of mathematical models is presented with the aim to clarify the reliability of stochastic models over deterministic models. Next, the necessary background about random variables and stochastic processes, especially Markov chains and the entropy are introduced. After that, entropy of SIR stochastic models is computed and it is proven that an epidemic will disappear after a long time. Entropy of a stochastic mathematical model determines the average uncertainty about the outcome of that random experiment. At the end, we introduce a chain binomial epidemic model and compute its entropy, which is then compared with the DTMC SIR epidemic model to show which one is nearer to reality.
Paper's Title:
Existence of Optimal Parameters for Damped SineGordon Equation with Variable Diffusion Coefficient and Neumann Boundary Conditions
Author(s):
N. Thapa
Department of Mathematical Sciences,
Cameron University,
2800 West Gore Blvd,
73505 Lawton, Oklahoma,
USA.
Email: nthapa@cameron.edu
URL: http://www.cameron.edu/~nthapa/
Abstract:
The parameter identification problem for sineGordon equation is of a major interests among mathematicians and scientists.\ In this work we the consider sineGordon equation with variable diffusion coefficient and Neumann boundary data. We show the existence and uniqueness of weak solution for sineGordon equation. Then we show that the weak solution continuously depends on parameters. Finally we show the existence of optimal set of parameters.
Paper's Title:
A Note on Taylor Expansions Without the Differentiability Assumption
Author(s):
Moawia Alghalith
Economics Dept.,
University of the West Indies,
St Augustine,
Trinidad and Tobago.
Email: malghalith@gmail.com
Abstract:
We introduce new Taylor expansions when the function is not differentiable.
Retraction
This article has been retracted under the authority of the Editor on Chief on 1 April, 2021. The PDF file is no longer available, but can be obtained from the editorial office upon request.
Paper's Title:
Existence and Estimate of the Solution for the Approximate Stochastic Equation to the Viscous Barotropic Gas
Author(s):
R. Benseghir and A. Benchettah
LANOS Laboratory,
Badji Mokhtar University,
PO Box 12,
Annaba, Algeria.
Email:
benseghirrym@ymail.com,
abenchettah@hotmail.com
Abstract:
A stochastic equation of a viscous barotropic gas is considered. The application of Ito formula to a specific functional in an infinite dimensional space allows us to obtain an estimate which is useful to analyse the behavior of the solution. As it is difficult to exploit this estimate, we study an approximate problem. More precisely, we consider the equation of a barotropic viscous gas in Lagrangian coordinates and we add a diffusion of the density. An estimate of energy is obtained to analyse the behavior of the solution for this approximate problem and Galerkin method is used to prove the existence and uniqueness of the solution.
Paper's Title:
An Analytical Solution of Perturbed Fisher's Equation Using Homotopy Perturbation Method (HPM), Regular Perturbation Method (RPM) and Adomian Decomposition Method (ADM)
Author(s):
Moussa Bagayogo, Youssouf Minoungou, Youssouf Pare
Departement de Mathematique,
Universite Ouaga I Pr Joseph KiZerbo,
Burkina Faso.
Email:
moussabagayogo94@gmail.com,
m.youl@yahoo.fr,
pareyoussouf@yahoo.fr.
Abstract:
In this paper, Homotopy Perturbation Method (HPM), Regular Pertubation Method (RPM) and Adomian decomposition Method (ADM) are applied to Fisher equation. Then, the solution yielding the given initial conditions is gained. Finally, the solutions obtained by each method are compared
Paper's Title:
Some Convergence Results for JungckAm Iterative Process In Hyperbolic Spaces
Author(s):
Akindele Adebayo Mebawondu and Oluwatosin Temitope Mewomo
School of Mathematics, Statistics and Computer Science,
University of KwaZuluNatal, Durban,
South Africa.
Email:
216028272@stu.ukzn.ac.za,
mewomoo@ukzn.ac.za
Abstract:
In this paper, we introduce a new three steps iterative process called JungckAM iterative process and show that the proposed iterative process can be used to approximate fixed points of Jungckcontractive type mappings and JungckSuzuki type mappings. In addition, we establish some strong and Δconvergence results for the approximation of fixed points of JungckSuzuki type mappings in the frame work of uniformly convex hyperbolic space. Furthermore, we show that the newly proposed iterative process has a better rate of convergence compare to the JungckNoor, JungckSP, JungckCR and some existing iterative processes in the literature. Finally, stability, data dependency results for JungckAM iterative process is established and we present an analytical proof and numerical examples to validate our claim.
Paper's Title:
Some fixed point results in partial Smetric spaces
Author(s):
M. M. Rezaee, S. Sedghi, A. Mukheimer, K. Abodayeh, and Z. D. Mitrovic
Department of Mathematics, Qaemshahr
Branch,
Islamic Azad University, Qaemshahr,
Iran.
Email: Rezaee.mohammad.m@gmail.com
Department of Mathematics, Qaemshahr
Branch,
Islamic Azad University, Qaemshahr,
Iran.
Email: sedghi.gh@qaemiau.ac.ir
Department of Mathematics and General
Sciences,
Prince Sultan University, Riyadh,
KSA.
Email: mukheimer@psu.edu.sa
Department of Mathematics and General
Sciences,
Prince Sultan University, Riyadh,
KSA.
Email: kamal@psu.edu.sa
Nonlinear Analysis Research Group,
Faculty of Mathematics and Statistics,
Ton Duc Thang University, Ho Chi Minh City,
Vietnam.
Email: zoran.mitrovic@tdtu.edu.vn
Abstract:
We introduce in this article a new class of generalized metric spaces, called partial Smetric spaces. In addition, we also give some interesting results on fixed points in the partial Smetric spaces and some applications.
Paper's Title:
Oblique Projectors from the Simpson Discrete Fourier Transformation Matrix
Author(s):
P. Singh and V. Singh
School of Mathematics, Computer Science
and Statistics,
University of KwazuluNatal,
Private Bag X54001, Durban 4001,
South Africa.
Email: singhp@ukzn.ac.za,
singhv@ukzn.ac.za
Abstract:
In this paper we examine the projectors of the Simpson Discrete Fourier Transform matrix of dimension two modulus four and show how they decompose the complex vector space into a direct sum of oblique eigenspaces. These projection operators are used to define a Simpson Discrete Fractional Fourier Transform (SDFRFT).
Paper's Title:
Several Applications of a Local Nonconvex Youngtype Inequality
Author(s):
Loredana Ciurdariu, Sorin Lugojan
Department of Mathematics,
"Politehnica" University of Timisoara,
Pta. Victoriei, No.2, 300006Timisoara,
Romania.
Email: ltirtirau87@yahoo.com
Abstract:
A local version of the Young inequality for positive numbers is used in order to deduce some inequalities about determinants and norms for real quadratic matrices and norms of positive operators on complex Hilbert spaces.
Paper's Title:
On Ruled Surfaces According to QuasiFrame in Euclidean 3Space
Author(s):
M. Khalifa Saad and R. A. AbdelBaky
Department of Mathematics, Faculty of
Science,
Islamic University of Madinah,
KSA.
Department of Mathematics, Faculty of Science,
Sohag University, Sohag,
EGYPT.
Email:
mohamed_khalifa77@science.sohag.edu.eg,
mohammed.khalifa@iu.edu.sa
Department of Mathematics, Faculty of
Science,
Assiut University, Assiut,
EGYPT.
Email: rbaky@live.com
Abstract:
This paper aims to study the skew ruled surfaces by using the quasiframe of Smarandache curves in the Euclidean 3space. Also, we reveal the relationship between SerretFrenet and quasiframes and give a parametric representation of a directional ruled surface using the quasiframe. Besides, some comparative examples are given and plotted which support our method and main results.
Paper's Title:
Accuracy of Implicit DIMSIMs with Extrapolation
Author(s):
A. J. Kadhim, A. Gorgey, N. Arbin and N. Razali
Mathematics Department, Faculty of
Science and Mathematics,
Sultan Idris Education University,
35900 Tanjong Malim, Perak,
Malaysia
Email: annie_gorgey@fsmt.upsi.edu.my
Unit of Fundamental Engineering Studies,
Faculty of Engineering, Built Environment,
The National University of Malaysia,
43600 Bangi,
Malaysia.
Abstract:
The main aim of this article is to present recent results concerning diagonal implicit multistage integration methods (DIMSIMs) with extrapolation in solving stiff problems. Implicit methods with extrapolation have been proven to be very useful in solving problems with stiff components. There are many articles written on extrapolation of RungeKutta methods however fewer articles on extrapolation were written for general linear methods. Passive extrapolation is more stable than active extrapolation as proven in many literature when solving stiff problems by the RungeKutta methods. This article takes the first step by investigating the performance of passive extrapolation for DIMSIMs type2 methods. In the variable stepsize and order codes, order2 and order3 DIMSIMs with extrapolation are investigated for Van der Pol and HIRES problems. Comparisons are made with ode23 solver and the numerical experiments showed that implicit DIMSIMs with extrapolation has greater accuracy than the method itself without extrapolation and ode23.
Paper's Title:
An Efficient Modification of Differential Transform Method for Solving Integral and Integrodifferential Equations
Author(s):
S. AlAhmad, Ibrahim Mohammed Sulaiman^{*}, and M. Mamat
Faculty of Informatics and Computing,
Universiti Sultan Zainal Abidin,
Terengganu, Besut Campus, 22200,
Malaysia.
Email: Alahmad.shadi@yahoo.com,
^{*}sulaimanib@unisza.edu.my,
must@unisza.edu.my
Abstract:
In this paper, classes of integral and integrodifferential equations are solved using a modified differential transform method. This proposed technique is based on differential transform method (DTM), Laplace transform (LT) procedure and Pad\'{e} approximants (PA). The proposed method which gives a good approximation for the true solution in a large region is referred to modified differential transform method (MDTM). An algorithm was developed to illustrate the flow of the proposed method. Some numerical problems are presented to check the applicability of the proposed scheme and the obtained results from the computations are compared with other existing methods to illustrates its efficiency. Numerical results have shown that the proposed MDTM method is promising compared to other existing methods for solving integral and integrodifferential equations.
Paper's Title:
Solving NonAutonomous Nonlinear Systems of Ordinary Differential Equations Using MultiStage Differential Transform Method
Author(s):
K. A. Ahmad, Z. Zainuddin, F. A. Abdullah
School of Mathematical Sciences
Universiti Sains Malaysia
11800 USM Penang
Malaysia.
Email: abumohmmadkh@hotmail.com
zarita@usm.my
farahaini@usm.my
Abstract:
Differential equations are basic tools to describe a wide variety of phenomena in nature such as, electrostatics, physics, chemistry, economics, etc. In this paper, a technique is developed to solve nonlinear and linear systems of ordinary differential equations based on the standard Differential Transform Method (DTM) and Multistage Differential Transform Method (MsDTM). Comparative numerical results that we are obtained by MsDTM and RungeKutta method are proposed. The numerical results showed that the MsDTM gives more accurate approximation as compared to the RungeKutta numerical method for the solutions of nonlinear and linear systems of ordinary differential equations
Paper's Title:
Analysis of a Dynamic Elastoviscoplastic Frictionless Antiplan Contact Problem with Normal Compliance
Author(s):
A. Ourahmoun^{1}, B. Bouderah^{2}, T. Serrar^{3}
^{1,2}Applied Mathematics
Laboratory,
M'sila University, 28000,
Algeria.
Email: ourahmounabbes@yahoo.fr
^{3}Applied Mathematics
Laboratory,
Setif 1 University, 19000,
Algeria.
Abstract:
We consider a mathematical model which describes the dynamic evolution of a thermo elasto viscoplastic contact problem between a body and a rigid foundation. The mechanical and thermal properties of the obstacle coating material near its surface. A variational formulation of this dynamic contact phenomenon is derived in the context of general models of thermo elasto viscoplastic materials. The displacements and temperatures of the bodies in contact are governed by the coupled system consisting of a variational inequality and a parabolic differential equation. The proof is based on a classical existence and uniqueness result on parabolic inequalities,differential equations and fixed point arguments.
Paper's Title:
Optimization Techniques on Affine Differential Manifolds
Author(s):
Ali S Rasheed, Faik Mayah and Ahmed A H ALJumaili
Ministry of Higher Education and
Scientific Research,
Iraq.
Email: ahmedhashem@gmail.com
Department of Physics, College of
Sciences,
University of Wasit,
Iraq.
Email: faik.mayah@gmail.com
Abstract:
In addition to solid ground of Riemannian manifolds fundamentals, this article interviews some popular optimization methods on Riemannian manifolds. Several optimization problems can be better stated on manifolds rather than Euclidean space, such as interior point methods, which in turns based on selfconcordant functions (logarithmic barrier functions). Optimization schemes like the steepest descent scheme, the Newton scheme, and others can be extended to Riemannian manifolds. This paper introduces some Riemannian and nonRiemannian schemes on manifolds.
Paper's Title:
ψ(m,q)Isometric Mappings on Metric Spaces
Author(s):
Sid Ahmed Ould Beinane, Sidi Hamidou Jah and Sid Ahmed Ould Ahmed Mahmoud
Mathematical Analysis and Applications,
Mathematics Department, College of Science,
Jouf University,
Sakaka P.O.Box 2014,
Saudi Arabia.
Email: beinane06@gmail.com
Department of Mathematics, College of
Science Qassim University,
P.O. Box 6640, Buraydah 51452,
Saudi Arabia.
Email: jahsiidi@yahoo.fr
Mathematical Analysis and Applications,
Mathematics Department, College of Science, Jouf University,
Sakaka P.O.Box 2014,
Saudi Arabia.
Email: sidahmed@ju.edu.sa,
sidahmed.sidha@gmail.com
Abstract:
The concept of (m,p)isometric operators on Banach space was extended to
(m,q)isometric mappings on general metric spaces in [6].
This paper is devoted to define the concept of
ψ(m, q)isometric, which is the
extension of A(m, p)isometric operators on Banach spaces introduced in [10].
Let T,ψ: (E,d) > (E, d) be two mappings.
For some positive integer m and q ∈ (0,∞).
T is said to be an ψ(m,q)isometry,
if for all y,z ∈ E,
Paper's Title:
Sweeping Surfaces with Darboux Frame in Euclidean 3space E3
Author(s):
F. Mofarreh, R. AbdelBaky and N. Alluhaibi
Mathematical Science Department, Faculty
of Science,
Princess Nourah bint Abdulrahman University
Riyadh 11546,
Saudi Arabia.
Email: fyalmofarrah@pnu.edu.sa
Department of Mathematics, Faculty of Science,
University of Assiut,
Assiut 71516,
Egypt.
Email: rbaky@live.com
Department of Mathematics Science and
Arts, College Rabigh Campus,
King Abdulaziz University
Jeddah,
Saudi Arabia.
Email: nallehaibi@kau.edu.sa
Abstract:
The curve on a regular surface has a moving frame and it is called Darboux frame. We introduce sweeping surfaces along the curve relating to the this frame and investigate their geometrical properties. Moreover, we obtain the necessary and sufficient conditions for these surfaces to be developable ruled surfaces. Finally, an example to illustrate the application of the results is introduced.
Paper's Title:
Some Properties on a Class of pvalent Functions Involving Generalized Differential Operator
Author(s):
A. T. Yousef, Z. Salleh and T. AlHawary
Department of Mathematics,
Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia
Terengganu,
21030 Kuala Nerus, Terengganu,
Malaysia.
Email: abduljabaryousef@gmail.com,
zabidin@umt.edu.my
Department of Applied Science,
Ajloun College, AlBalqa Applied University,
Ajloun 26816,
Jordan.
Email: tariq_amh@yahoo.com
Abstract:
This paper aiming to introduce a new differential operator in the open unit disc We then, introduce a new subclass of analytic function Moreover, we discuss coefficient estimates, growth and distortion theorems, and inclusion properties for the functions belonging to the class
Paper's Title:
A New Relaxed bmetric Type and Fixed Point Results
Author(s):
P. Singh, V. Singh and Thokozani Cyprian Martin Jele
Department of Mathematics,
University of KwaZuluNatal,
Private Bag X54001, Durban,
South Africa.
Email: singhp@ukzn.ac.za,
singhv@ukzn.ac.za,
thokozani.jele@nwu.ac.za
Abstract:
The purpose of this paper is to introduce a new relaxed α, β bmetric type by relaxing the triangle inequality. We investigate the effect that this generalization has on fixed point theorems.
Paper's Title:
Generalized Von NeumannJordan Constant for Morrey Spaces and Small Morrey Spaces
Author(s):
H. Rahman and H. Gunawan
Department of Mathematics,
Islamic State University Maulana Malik Ibrahim Malang,
Jalan Gajayana No.50,
Indonesia.
Email: hairur@mat.uinmalang.ac.id
Analysis and Geometry Group,
Faculty of Mathematics and Natural Sciences,
Bandung Institute of Technology, Bandung 40132,
Indonesia.
Email: hgunawan@math.itb.ac.id
URL:
http://personal.fmipa.itb.ac.id/hgunawan/
Abstract:
In this paper we calculate some geometric constants for Morrey spaces and small Morrey spaces, namely generalized Von NeumannJordan constant, modified Von NeumannJordan constants, and Zbaganu constant. All these constants measure the uniformly nonsquareness of the spaces. We obtain that their values are the same as the value of Von NeumannJordan constant for Morrey spaces and small Morrey spaces.
Paper's Title:
RiemannStieltjes Integrals and Some Ostrowski Type Inequalities
Author(s):
W. G. Alshanti
Department of General Studies,
Jubail University College,
KSA.
Email: shantiw@ucj.edu.sa
Abstract:
In this article, we investigate new integral inequalities of Ostrowski's type of various functional aspects. For mapping's second derivative, we assume two cases, namely, L_{1} and L_{∞} spaces. Moreover, for first derivative, we investigate two different characteristics, namely, bounded variation and locally Lipchitz continuity. Applications to special means and composite quadrature rules are also carried out.
Paper's Title:
Locally Bicomplex Convex Module and Their Applications
Author(s):
Stanzin Kunga and Aditi Sharma
Department of Mathematics,
University of Jammu,
Jammu And Kashmir,
India.
Email: stanzinkunga19@gmail.com
Department of Mathematics,
University of Jammu,
Jammu And Kashmir,
India.
Email: aditi.sharmaro@gmail.com
Abstract:
Let X be a locally BC convex module and L(X) be the family of all continuous bicomplex linear operators on X. In this paper, we study some concepts of Dvalued seminorms on locally BC convex module. Further, we study the bicomplex version of C_{o} and (C_{o},1) semigroup. The work of this paper is inspired by the work in [2] and [6].
Paper's Title:
Oscillatory Behavior of SecondOrder NonCanonical Retarded Difference Equations
Author(s):
G.E. Chatzarakis^{1}, N. Indrajith^{2}, E. Thandapani^{3} and K.S. Vidhyaa^{4}
^{1}Department
of Electrical and Electronic Engineering Educators,
School of Pedagogical and Technological Education,
Marousi 15122, Athens,
Greece.
Email: gea.xatz@aspete.gr,
geaxatz@otenet.gr
^{2}Department
of Mathematics,
Presidency College, Chennai  600 005,
India.
Email: indrajithna@gmail.com
^{3}Ramanujan
Institute for Advanced Study in Mathematics,
University of Madras,
Chennai  600 005,
India.
Email: ethandapani@yahoo.co.in
^{4}Department of
Mathematics,
SRM Easwari Engineering College,
Chennai600089,
India.
Email: vidyacertain@gmail.com
Abstract:
Using monotonic properties of nonoscillatory solutions, we obtain new oscillatory criteria for the secondorder noncanonical difference equation with retarded argument
Our oscillation results improve and extend the earlier ones. Examples illustrating the results are provided.
Paper's Title:
Improved Oscillation Criteria of SecondOrder Advanced Noncanonical Difference Equation
Author(s):
G. E. Chatzarakis^{1}, N. Indrajith^{2}, S. L. Panetsos^{1}, E. Thandapani^{3}
^{1}Department
of Electrical and Electronic Engineering Educators
School of Pedagogical and Technological Education,
Marousi 15122, Athens,
Greece.
Email: gea.xatz@aspete.gr,
geaxatz@otenet.gr
spanetsos@aspete.gr
^{2}Department
of Mathematics,
Presidency College, Chennai  600 005,
India.
Email: indrajithna@gmail.com
^{3}Ramanujan
Institute for Advanced Study in Mathematics,
University of Madras Chennai  600 005,
India.
Email: ethandapani@yahoo.co.in
Abstract:
Employing monotonic properties of nonoscillatory solutions, we derive some new oscillation criteria for the secondorder advanced noncanonical difference equation
Our results extend and improve the earlier ones. The outcome is illustrated via some particular difference equations.
Paper's Title:
A Fuzzy Soft Quotient Topology and Its Properties
Author(s):
Haripamyu, Riri Alfakhriati, Monika Rianti Helmi, Jenizon
Department of Mathematics and Data Science, Andalas University, Padang, Indonesia.
Email: haripamyu@sci.unand.ac.id
ririalfakhriati123@gmail.com
monikariantihelmi@sci.unand.ac.id
jenizon@gmail.com
Abstract:
This research is to construct a new topology on fuzzy soft set by using the concept of quotient topology. Then we study the concept of quotient map to define the fuzzy soft quotient map and provide some relevant properties of fuzzy soft quotient map. Furthermore, we give some examples related to fuzzy soft quotient topology and fuzzy soft quotient map to apply some properties of fuzzy soft quotient map.
Paper's Title:
Preserver of Local Spectrum of Skewproduct Operators
Author(s):
Rohollah Parvinianzadeh^{1,*}, Meysam Asadipour^{2} and Jumakhan Pazhman^{3}
^{1}Department
of Mathematics,
College of Sciences,
University of Yasouj,
Yasouj, 7591874934,
Iran.
Email: r.parvinian@yu.ac.ir
^{2}Department
of Mathematics,
College of Sciences,
University of Yasouj,
Yasouj, 7591874934,
Iran.
Email: Asadipour@yu.ac.ir
^{3}Department
of Mathematics,
Ghor Institute of higher education,
Afghanistan.
Email: jumapazhman@gmail.com
Abstract:
Let H and K be infinitedimensional complex Hilbert spaces, and B(H) (resp. B(K)) be the algebra of all bounded linear operators on H (resp. on K). For an operator T∈ B(H) and a vector h∈ H, let σ_{T}(h) denote the local spectrum of T at h. For two nonzero vectors h_{0}∈ H and k_{0}∈ K, we show that if two maps φ_{1} and φ_{2} from B(H) into B(K) satisfy
σ_{φ1(T)φ2(S)*}(k_{0})= σ_{TS*}(h_{0}})
for all T, S ∈ B(H), and their range containing all operators of rank at most two, then there exist bijective linear maps P : H→ K and Q : K→ H such that φ_{1}(T) = PTQ and φ_{2}(T)^{*} =Q^{1}T^{*}P^{1} for all T ∈ B(H). Also, we obtain some interesting results in this direction.
Paper's Title:
Uniqueness Problems for Difference Polynomials Sharing a NonZero Polynomial of Certain Degree With Finite Weight
Author(s):
V. Priyanka, S. Rajeshwari and V. Husna
Department of Mathematics,
School of Engineering,
Presidency University,
Bangalore560064,
India.
Email:
priyapriyankaram1994@gmail.com
rajeshwaripreetham@gmail.com
husnav43@gmail.com
Abstract:
In this paper, we prove a result on the value distribution of difference polynomials sharing higher order derivatives of meromorphic functions which improves some earlier results. At the same time, we also prove possible uniqueness relation of entire functions when the difference polynomial generated by them sharing a non zero polynomial of certain degree. The result obtained in the paper will improve and generalize a number of recent results in a compact and convenient way.
Paper's Title:
Fekete Szegö problem on the Class of Bazilevič functions B_{1}(α) related to the Lemniscate Bernoulli
Author(s):
N. M. Asih, Marjono, Sa'adatul Fitri, Ratno Bagus Edy Wibowo
Department of Mathematics,
University of Brawijaya,
Malang 65145,
Indonesia.
Department of Mathematics,
University of Udayana,
Bali,
Indonesia.
Email: madeasih@unud.ac.id
Department of Mathematics,
University of Brawijaya,
Malang 65145,
Indonesia.
Email: marjono@ub.ac.id
Department of Mathematics,
University of Brawijaya,
Malang 65145,
Indonesia.
Email: saadatulfitri@ub.ac.id
Department of Mathematics,
University of Brawijaya,
Malang 65145,
Indonesia.
Email: rbagus@ub.ac.id
Abstract:
We provide a sharp boundaries inequalities for Fekete Szegö problem a_{3}μ a_{2}^{2}, the coefficients of logarithmic function log~ f(z)/z, and the coefficients of the inverse function f(f'(w)) on the Bazilevič functions B_{1}(α) related to the Lemniscate Bernoulli on the unit disk D={z: z < 1}. We obtained the result by using some properties of function with positive real part relates to coefficients problems.
Paper's Title:
SQIRV Model for Omicron Variant with Time Delay
Author(s):
S. Dickson, S. Padmasekaran, G. E. Chatzarakis and S. L. Panetsos
Mathematics, Periyar University, Periyar
Palkalai Nagar, Salem,
636011, Tamilnadu,
India.
Email:
dickson@periyaruniversity.ac.in,
padmasekarans@periyaruniversity.ac.in
Electrical and Electronic Engineering
Educators, School of
Pedagogical and Technological Education (ASPETE),
Marousi 15122, Athens,
Greece.
Email: geaxatz@otenet.gr,
spanetsos@aspete.gr
Abstract:
In order to examine the dynamics of the Omicron variant, this paper uses mathematical modelling and analysis of a SQIRV model, taking into account the delay in the conversion of susceptible individuals into infected individuals and infected individuals into recovered individuals. The pandemic was eventually controlled as a result of the massive delays. To assure the safety of the host population, this concept incorporates quarantine and the COVID19 vaccine. Both local and global stability of the model are examined. It is found that the fundamental reproduction number affects both local and global stability conditions. Our findings show that asymptomatic cases caused by an affected population play an important role in increasing Omicron infection in the general population. The most recent data on the pandemic Omicron variant from Tamil Nadu, India, is verified.
Paper's Title:
Metric Functionals for the Hästö Metric
Author(s):
G. Bettencourt and S. Mendes
Departamento de Matemática,
Universidade da Beira Interior 
Covilhă Portugal,
Centro de Matemática e Aplicaçőes
Universidade da Beira Interior 
Covilhă Portugal.
Email: gastao@ubi.pt
ISCTE  University Institute of Lisbon  Lisbon Portugal,
Centro de Matemática e Aplicaçőes
Universidade da Beira Interior 
Covilhă Portugal.
Email: sergio.mendes@iscteiul.pt
Abstract:
In 2002, new classes of weighted metrics on R^{n} were introduced by Peter Hästö. In this article we compute the metric functionals for such classes of metrics.
Paper's Title:
A Determinantal Representation of Core EP Inverse
Author(s):
Divya Shenoy Purushothama
Department of Mathematics,
Manipal Institute of Technology,
Manipal Academy of Higher Education,
Manipal 576104, Karnataka,
India.
Email: divya.shenoy@manipal.edu
URL:
https://manipal.edu/mit/departmentfaculty/facultylist/divyashenoyp.html
Abstract:
The notion of Core EP inverse is introduced by Prasad in the article "Core  EP inverse" and proved its existence and uniqueness. Also, a formula for computing the Core EP inverse is obtained from particular linear combination of minors of a given matrix. Here a determinantal representation for Core EP inverse of a matrix A with the help of rank factorization of A is obtained.
Paper's Title:
Some Ostrowski Type Inequalities for Two CosIntegral Transforms of Absolutely Continuous Functions
Author(s):
S. S. Dragomir and G. Sorrentino
Mathematics, College Sport, Health and
Engineering,
Victoria University, PO Box 14428,
Melbourne City, MC 8001,
Australia.
DSTNRF Centre of Excellence in the
Mathematical and Statistical Sciences,
School of Computer Science & Applied Mathematics,
University of the Witwatersrand,
Private Bag 3, Johannesburg 2050,
South Africa.
Email: sever.dragomir@vu.edu.au
URL: http://rgmia.org/dragomir
Mathematics, First Year College,
Victoria University, PO Box 14428,
Melbourne City, MC 8001,
Australia.
Abstract:
For a Lebesgue integrable function f:[a,b] ⊂[0,π]→C
we consider the cosintegral transforms
and
We provide in this paper some upper bounds for the quantities
and
for
x ∈ [ a,b], in terms of the pnorms of the derivative
f ' for absolutely continuous functions f:[a,b] ⊂[0,π]→C.
Applications for approximating Steklov cosaverage functions and Steklov
split cosaverage functions are also provided.
Paper's Title:
LiYorke and Expansivity for Composition Operators on Lorentz Space
Author(s):
Rajat Singh and Romesh Kumar
Department of Mathematics,
University of Jammu,
Jammu 180006,
INDIA.
Email: rajat.singh.rs634@gmail.com
Department of Mathematics,
University of Jammu,
Jammu 180006,
INDIA.
Email: romeshmath@gmail.com
Abstract:
In this paper, we investigate LiYorke composition operators and some of its variations on Lorentz spaces. Further, we also study expansive composition operators on these spaces. The work of the paper is essentially based on the work in [3], [6], [8] and [15].
Paper's Title:
The Automatic Continuity of NHomomorphisms in Certain *Banach Algebras
Author(s):
M. Aboulekhlef, Y. Tidli
Laboratory of Applied Mathematics and
Information and Communication Technology
Polydisciplinary Faculty of Khouribga
University of Sultan Moulay Slimane
Morocco.
Email: aboulekhlef@gmail.com
y.tidli@gmail.com
Abstract:
In this study, we prove the automatic continuity of surjective nhomomorphism between complete pnormed algebras. We show also that if Α and Β are complete *pnormed algebras, Β is *simple and ψ: Α → Β is a surjective nhomomorphism under certain conditions, then ψ is continuous.
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