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Paper's Title:
Convergence Speed of Some Random Implicit-Kirk-type Iterations for Contractive-type 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.
E-mail: 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 implicit-Kirk multistep iterative scheme and prove strong convergence and stability results for a class of generalized contractive-type 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 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, 1685-1704. 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:
Essential Random Fixed Point Set of Random Operators
Author(s):
Ismat Beg
Centre for Advanced Studies in Mathematics,
Lahore University of Management Sciences (LUMS),
54792-Lahore, 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:
Maximal Inequalities for Multidimensionally Indexed Demimartingales and the Hájek-Rényi 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 Hájek-Rényi 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:
Asymptotic Distribution of Products of Weighted Sums of Dependent
Random Variables
Author(s):
Y. Miao and J. F. Li
College
of Mathematics
and Information
Science,
Henan Normal
University
Henan,
China
yumiao728@yahoo.com.cn
College
of Mathematics
and Information
Science,
Henan Normal
University, 453007
Henan,
China.
junfen_li@yahoo.com.cn
Abstract:
In this paper we establish the asymptotic distribution of products of weighted sums of dependent positive random variable, which extends the results of Rempała and Wesołowski (2002).
Paper's Title:
Bounds on the Jensen Gap, and Implications for Mean-Concentrated 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.
E-mail: 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:
Approximation of an AQCQ-Functional Equation and its Applications
Author(s):
Choonkil Park and Jung Rye Lee
Department of Mathematics,
Research Institute for Natural Sciences,
Hanyang University, Seoul 133-791,
Korea;
Department of Mathematics,
Daejin University,
Kyeonggi 487-711,
Korea
baak@hanyang.ac.kr
jrlee@daejin.ac.kr
Abstract:
This paper is a survey on the generalized Hyers-Ulam stability of an AQCQ-functional equation in several spaces. Its content is divided into the following sections:
1. Introduction and preliminaries.
2. Generalized Hyers-Ulam stability of an AQCQ-functional equation in Banach spaces: direct method.
3. Generalized Hyers-Ulam stability of an AQCQ-functional equation in Banach spaces: fixed point method.
4. Generalized Hyers-Ulam stability of an AQCQ-functional equation in random Banach spaces: direct method.
5. Generalized Hyers-Ulam stability of an AQCQ-functional equation in random Banach spaces: fixed point method.
6. Generalized Hyers-Ulam stability of an AQCQ-functional equation in non-Archi-medean Banach spaces: direct method.
7. Generalized Hyers-Ulam stability of an AQCQ-functional equation in non-Archi-medean Banach spaces: fixed point method.
Paper's Title:
Inequalities for Discrete F-Divergence Measures: A Survey of Recent Results
Author(s):
Sever S. Dragomir1,2
1Mathematics, School of Engineering
& Science
Victoria University, PO Box 14428
Melbourne City, MC 8001,
Australia
E-mail: sever.dragomir@vu.edu.au
2DST-NRF 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 f-divergence 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 Kullback-Leibler Distance, Hellinger Discrimination and Varation distance are provided. Approximations of the f-divergence 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:
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.
E-mail: 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 76169-14111,
Iran.
E-mail: 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:
Some Properties of the Marshall-Olkin and Generalized Cuadras-Augé Families of Copulas
Author(s):
Edward Dobrowolski and Pranesh Kumar
Department of Mathematics and Statistics
University of Northern British Columbia
Prince George, BC,
Canada, V2N 4Z9
E-mail: Pranesh.Kumar@unbc.ca
Abstract:
We investigate some properties of the families of two parameter Marshall-Olkin and Generalized Cuadras-Augé copulas. Some new results are proved for copula parameters, dependence measure and mutual information. A numerical application is discussed.
Paper's Title:
On
the Convergence in Law of Iterates of Random-Valued Functions
Author(s):
Karol Baron
Uniwersytet
Śląski, Instytut MatematykiAbstract:
Given a probability space (Ω, A, P) a separable and complete metric space X with the σ-algebra B of all its Borel subsets and a B A -measurable f : X * Ω → X we consider its iterates fn, n N, defined on X * ΩN by f1(x,ω) = f(x,ω1) and fn+1(x,ω)=f(fn(x,ω),ωn+1), provide a simple criterion for the convergence in law of fn(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:
A note on Inequalities due to Martins, Bennett and Alzer
Author(s):
József Sándor
Babeş-Bolyai University of Cluj, Department of Mathematics and Computer Sciences
Kogălniceanu Nr.1, Cluj-Napoca,
Romania.
jjsandor@hotmail.com
jsandor@member.ams.org
Abstract:
A short history of certain inequalities by Martins, Bennett as well as Alzer, is provided. It is shown that, the inequality of Alzer for negative powers [6], or Martin's reverse inequality [7] are due in fact to Alzer [2]. Some related results, as well as a conjecture, are stated.
Paper's Title:
1-type Pseudo-Chebyshev Subspaces in Generalized 2-normed 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 2-normed space from every normed space.
We introduce 1-type pseudo-Chebyshev subspaces in generalized
2-normed spaces and give some results in this field.
Paper's Title:
Weak solutions of non coercive stochastic Navier-Stokes equations in R2
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 153-8914,
Japan.
E-mail: stannat@math.tu-berlin.de
E-mail: satoshi2@ms.u-tokyo.ac.jp
Abstract:
We prove existence of weak solutions of stochastic Navier-Stokes equations in R2 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 R2. 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 2D-Navier-Stokes equations with periodic boundary conditions, where the periodicity is growing to infinity combined with a suitable spatial cutoff-technique.
Paper's Title:
Antiderivatives and Integrals Involving Incomplete Beta Functions with Applications
Author(s):
R. AlAhmad1,2 and H. Almefleh1
Mathematics Department,
Yarmouk University,
Irbid 21163,
Jordan.
E-mail: 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:
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.
E-mail:
andreasboukas@yahoo.com
E-mail: 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:
Ostrowski Type Inequalities for Lebesgue Integral: a Survey of Recent Results
Author(s):
Sever S. Dragomir1,2
1Mathematics, School of Engineering
& Science
Victoria University, PO Box 14428
Melbourne City, MC 8001,
Australia
E-mail: sever.dragomir@vu.edu.au
2DST-NRF 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 real-valued 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:
Fractional Integral Inequalities of Hermite-Hadamard Type for P-convex and Quasi-Convex 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.
E-mail: 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.
E-mail: mohammed.barmaki@uit.ac.ma
National School of Applied Sciences (ENSA),
University Ibn Tofail,
B.P 242 Kenitra 14000,
phone number : +212661403557,
Morocco.
E-mail: driss.gretete@uit.ac.ma
Abstract:
In this paper we consider the class of P-convex and Quasi-convex stochastic processes on witch we apply a general class of generalized fractional integral operator in order to establish new integral inequalities of Hermite-Hadammard 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:
Some Homogeneous Cyclic Inequalities of Three Variables of Degree Three and Four
Author(s):
TETSUYA ANDO
Department of Mathematics and Informatics,
Chiba University, Chiba 263-8522, JAPAN
ando@math.s.chiba-u.ac.jp
Abstract:
We shall show that the three variable cubic inequality
t2 (a3+b3+c3) + (t4-2t)(ab2+bc2+ca2)
≥ (2t3-1)(a2b+b2c+c2a)
+ (3t4-6t3+3t2-6t+3)abc
holds for non-negative a, b, c, and for any real number t.
We also show some similar three variable cyclic quartic inequalities.
Paper's Title:
On Reformations of 2--Hilbert Spaces
Author(s):
M. Eshaghi Gordji, A. Divandari, M. R. Safi and Y. J. Cho
Department of Mathematics, Semnan
University,
P.O. Box 35195--363, 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 660-701,
Korea
Abstract:
In this paper, first, we introduce the new concept of (complex) 2--Hilbert spaces, that is, we define the concept of 2--inner product spaces with a complex valued 2--inner product by using the 2--norm. 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 2--Hilbert spaces.
Paper's Title:
A Wallis Type Inequality and a Double Inequality for Probability Integral
Author(s):
Jian Cao, Da-Wei 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:
Existence of solutions for Neutral Stochastic Functional Differential Systems with Infinite Delay in Abstract Space
Author(s):
P. Balasubramaniam, A. V. A. Kumar and S. K. Ntouyas
Department of Mathematics, Gandhigram Rural Institute,
Deemed University, Gandhigram - 624 302,
Tamil Nadu, India.
pbalgri@rediffmail.com
Department of Mathematics, Gandhigram Rural Institute,
Deemed University, Gandhigram - 624 302,
Tamil Nadu, India.
nnddww@tom.com
Department of Mathematics, University of Ioannina,
451 10 Ioannina,
Greece.
sntouyas@cc.uoi.gr
URL: http://www.math.uoi.gr/~sntouyas
Abstract:
In this paper we prove existence results for semilinear stochastic neutral functional differential systems with unbounded delay in abstract space. Our theory makes use of analytic semigroups and fractional power of closed operators and Sadovskii fixed point theorem.
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 Stable Numerical Differentiation
Author(s):
N. S. Hoang and A. G. Ramm
Mathematics Department, Kansas State University 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:
A Study of the Effect of Density Dependence in a Matrix Population Model Author(s):
N. Carter and M. Predescu Department of Mathematical Sciences, 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,
Department of Mathematics, Abstract:
We examine the possibility of a direct Fock representation of
the recently obtained non-trivial central extensions
of the Heisenberg algebra, generated by elements
and
E satisfying the commutation relations
,
and
,
where a and
are dual, h is self-adjoint, E is the non-zero self-adjoint
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
self-adjoint operator
Paper's Title:
Some Functional Inequalities for the Geometric Operator Mean Author(s):
Mustapha Raissouli Taibah University, Faculty of Sciences,
Department of Mathematics, Abstract:
In this paper, we give some new inequalities of functional type
for the power geometric operator mean involving several arguments. Paper's Title:
New Inequalities of Mill's Ratio and Application to The Inverse Q-function Approximation Author(s):
Pingyi Fan Department of Electronic Engineering,
Abstract:
In this paper, we investigate the Mill's ratio estimation problem and get two new inequalities. Compared to the well known results obtained by Gordon, they becomes tighter. Furthermore, we also discuss the inverse Q-function approximation problem and present some useful results on the inverse solution. Numerical results confirm the validness of our theoretical analysis. In addition, we also present a conjecture on the bounds of inverse solution on Q-function.
Paper's Title:
Some New Generalizations of Jensen's Inequality with Related Results and Applications Author(s):
Steven G. From Department of Mathematics E-mail:
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 by-products of this method, we shall obtain some new Hermite-Hadamard inequalities for functions which are 3-convex or 3-concave.
The new method works to obtain bounds for the Jensen gap for non-convex 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:
On Singular Numbers of Hankel Matrices of Markov Functions Author(s):
Vasily A. Prokhorov Department of Mathematics and Statistics, Abstract:
Let
E ⊂ (01,1) be a compact set and let
μ be a positive Borel measure with support
supp μ=E. Let
In the case when E=[a,b]⊂
(-1,1) and μ satisfies the
condition dμ/dx>0 a.e. on E, we investigate asymptotic behavior of
singular numbers σkn,n of the Hankel
matrix Dn, where kn/n→θ∈[0,1]
as n→∞. Moreover, we obtain
asymptotics of the Kolmogorov, Gelfand and linear k-widths, k=kn,
of the unit ball An,2 of Pn∩L2(Γ)
in the space L2(μ,E),
where Γ={z:|z|=1} and Pn is the class of all
polynomials of the degree at most n. Paper's Title:
Existence of Solution of Differential and Riemann-Liouville Equation Via Fixed Point Approach in Complex Valued b-Metric Spaces Author(s):
K. Afassinou, A. A. Mebawondu, H. A. Abass and O. K. Narain Department of Science Access, DST-NRF Centre of Excellence in
Mathematical and Statistical Sciences (CoE-MaSS), DST-NRF Centre of Excellence in
Mathematical and Statistical Sciences (CoE-MaSS), School of Mathematics, Statistics and
Computer Science, 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 C-class function in the framework of complex valued
b-metric spaces. As an application, we establish the existence and uniqueness of a solution for Riemann-Liouville integral and ordinary differential equation in the framework of a complete complex valued
b-metric spaces. The obtained results generalize and improve some fixed point results in the literature. Paper's Title:
Lozi Maps With Max Function and its Application Author(s):
Abdellah Menasri Higher National School of Forests, 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 R2. This is a family model that allows us to study several new
piecewise-smooth 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:
On a Criteria for Strong Starlikeness Author(s):
V. Ravichandran, M. Darus, and N. Seenivasagan School Of Mathematical Sciences,
Universiti Sains Malaysia, 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 p-valent analytic functions defined through a linear operator.
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, 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:
Long Correlations Applied to the Study of Agricultural Indices in Comparison with the S&P500 index
Author(s):
M. C. Mariani, J. Libbin, M.P. Beccar Varela,
Department of Mathematical Sciences, Abstract:
Long-time correlations in agricultural indices are studied and their behavior is compared to the well-established S&P500 index. Hurst exponent and Detrended Fluctuation Analysis (DFA) techniques are used in this analysis. We detected long-correlations in the agricultural indices and briefly discussed some features specific in comparison to the S&P500 index. 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,
Universitŕ di Salerno,
Department of Technical Cybernetics,
Manhattan, KS 66506-2602,
U. S. A.
nguyenhs@math.ksu.edu
ramm@math.ksu.edu
URL:http://math.ksu.edu/~ramm
3: Paper Source
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Bentley University,
Waltham, MA 02452,
U.S.A.
ncarter@bentley.edu
mpredescu@bentley.edu
3: Paper Source
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via Columbia 2, 00133 Roma,
Italy
accardi@volterra.mat.uniroma2.it
URL: http://volterra.mat.uniroma2.it
American College of Greece,
Aghia Paraskevi, Athens 15342,
Greece
andreasboukas@acg.edu
3: Paper Source
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Al Madinah Al Munawwarah, P.O.Box 30097,
Kingdom of Saudi Arabia.
3: Paper Source
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Tsinghua University, Beijing,
China
3: Paper Source
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University of Nebraska at Omaha
Omaha, Nebraska 68182-0243.
3: Paper Source
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University of South Alabama,
Mobile, Alabama 36688-0002,
USA.
E-mail: prokhoro@southalabama.edu
URL:
http://www.southalabama.edu/mathstat/people/prokhorov.shtml
3: Paper Source
PDF document
University of Zululand, KwaDlangezwa,
South Africa.
E-mail: komia@aims.ac.za
Johannesburg,
South Africa.
E-mail: dele@aims.ac.za
Johannesburg,
South Africa.
E-mail: hammedabass548@gmail.com
University of KwaZulu-Natal, Durban,
South Africa.
E-mail: naraino@ukzn.ac.za
3: Paper Source
PDF document
Khenchela,
Algeria.
E-mail: abdellah.menasri70@gmail.com
2: Paper Source
PDF document
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
2: Paper Source
PDF document
Nanjing, 210093
P.R. China.
babedallah@yahoo.com
2: Paper Source
PDF document
V. Kumar Mani, C. Erickson, D.J. Valles Rosales
Science Hall 236, New Mexico State University,
Las Cruces, NM 88003-8001,
USA.
mmariani@nmsu.edu
2: Paper Source
PDF document
Dnipropetrovsk National University, Naukova
STR.,
13,
49010 Dnipropetrovsk,
Ukraine
p.kogut@i.ua
Dipartimento di Ingegneria dell'Informazione e Matematica Applicata,
Via Ponte don Melillo, 84084 Fisciano (SA),
Italy
manzo@diima.unisa.it
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 vector-valued mappings with a weakened property of lower semicontinuity. We also prove the existence of the so-called 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 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 Saint-Etienne,
CIS - LPMG, UMR CNRS
5148,
158 cours Fauriel,
42023 Saint-Etienne Cedex 2, France.
rivollier@emse.fr;
debayle@emse.fr; pinoli@emse.fr
Abstract:
Shape diagrams are representations in the Euclidean plane introduced to study 3-dimensional and 2-dimensional 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 twenty-two 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 twenty-two 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:
On
the Inequality
Author(s):
A. Coronel and F. Huancas
Departamento de Ciencias Básicas,
Facultad de Ciencias, Universidad del Bío-Bío, Casilla 447,
Campus Fernando May, Chillán, Chile.
acoronel@roble.fdo-may.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:
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:
On Some Estimates for the Logarithmic Mean
Author(s):
Shuhei Wada
Department of Information and Computer
Engineering,
Kisarazu National College of Technology,
Kisarazu, Chiba 292-0041,
Japan.
E-mail: wada@j.kisarazu.ac.jp
Abstract:
We show some estimates for the logarithmic mean that are obtained from operator inequalities between the Barbour path and the Heinz means.
Paper's Title:
New Stochastic Calculus
Author(s):
Moawia Alghalith
Department of Economics,
University of the West Indies, St. Augustine,
Trinidad and Tobago.
E-mail:
malghalith@gmail.com
Abstract:
We present new stochastic differential equations, that are more general and simpler than the existing Ito-based stochastic differential equations. As an example, we apply our approach to the investment (portfolio) model.
Paper's Title:
The Conservativeness of Girsanov Transformed for Symmetric Jump-diffusion Process
Author(s):
Mila Kurniawaty and Marjono
Department of Mathematics,
Universitas Brawijaya,
Malang,
Indonesia.
E-mail: mila_n12@ub.ac.id,
marjono@ub.ac.id
Abstract:
We study about the Girsanov transformed for symmetric Markov processes with jumps associated with regular Dirichlet form. We prove the conservativeness of it by dividing the regular Dirichlet form into the "small jump" part and the "big jump" part.
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.
E-mail: 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 round-off 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:
A new approach to the study of fixed point for simulation functions with application in G-metric spaces
Author(s):
Komi Afassinou and Ojen Kumar Narain
Department of Mathematical Sciences,
University of Zululand,
KwaDlangezwa,
South Africa.
E-mail: komia@aims.ac.za
School of Mathematics, Statistics and
Computer Science,
University of KwaZulu-Natal, Durban,
South Africa.
E-mail: 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)-Z-contraction mapping, Suzuki generalized (α,β)-Z-contraction mapping, (α,β)-admissible mapping and triangular (α,β)-admissible mapping in the frame work of G-metric spaces. Fixed point theorems for these class of mappings are established in the frame work of a complete G-metric 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:
Several Applications of a Local Non-convex Young-type Inequality
Author(s):
Loredana Ciurdariu, Sorin Lugojan
Department of Mathematics,
"Politehnica" University of Timisoara,
P-ta. Victoriei, No.2, 300006-Timisoara,
Romania.
E-mail: 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:
Inequalities of Gamma Function Appearing in Generalizing Probability Sampling Design
Author(s):
Mohammadkheer M. Al-Jararha And Jehad M. Al-Jararha
Department of Mathematics,
Yarmouk University,
Irbid 21163,
Jordan.
E-mail: mohammad.ja@yu.edu.jo
Department of Statistics,
Yarmouk University,
Irbid 21163,
Jordan.
E-mail: jehad@yu.edu.jo
Abstract:
In this paper, we investigate the complete monotonicity of some functions involving gamma function. Using the monotonic properties of these functions, we derived some inequalities involving gamma and beta functions. Such inequalities can be used to generalize different probability distribution functions. Also, they can be used to generalize some statistical designs, e.g., the probability proportional to the size without replacement design.
Paper's Title:
On Admissible Mapping via Simulation Function
Author(s):
Anantachai Padcharoen and Pakeeta Sukprasert
Department of Mathematics,
Faculty of Science and Technology,
Rambhai Barni Rajabhat University,
Chanthaburi 22000,
Thailand.
E-mail: anantachai.p@rbru.ac.th
Department of Mathematics and Computer Science
Faculty of Science and Technology
Rajamangala University of Technology Thanyaburi (RMUTT),
Thanyaburi, Pathumthani 12110,
Thailand.
E-mail: pakeeta_s@rmutt.ac.th
Abstract:
In this paper, we present some fixed point results in complete metric spaces by using generalized admissible mapping embedded in the simulation function. Its applications, Our results used to study the existence problem of nonlinear Hammerstein integral equations.
Paper's Title:
Trace Inequalities for Operators in Hilbert Spaces: a Survey of Recent Results
Author(s):
Sever S. Dragomir1,2
1Mathematics,
School of Engineering
& Science
Victoria University,
PO Box 14428
Melbourne City, MC 8001,
Australia
E-mail: sever.dragomir@vu.edu.au
2DST-NRF 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 Shisha-Mond'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. Hermite-Hadamard 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:
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.
E-mail: gastao@ubi.pt
ISCTE - University Institute of Lisbon - Lisbon Portugal,
Centro de Matemática e Aplicaçőes
Universidade da Beira Interior -
Covilhă Portugal.
E-mail: sergio.mendes@iscte-iul.pt
Abstract:
In 2002, new classes of weighted metrics on Rn were introduced by Peter Hästö. In this article we compute the metric functionals for such classes of metrics.
Paper's Title:
Long Time Behavior for a Viscoelastic Problem with a Positive Definite Kernel
Author(s):
Nasser-eddine 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 integro-differential 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:
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
isac-g@rmc.ca
gosselin-a@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:
Positive Solution For Discrete Three-Point Boundary Value
Problems
Author(s):
Wing-Sum Cheung And Jingli Ren
Department of Mathematics,
The University of Hong Kong,
Pokfulam, Hong Kong
wscheung@hku.hk
Institute of Systems Science,
Chinese Academy of Sciences,
Beijing 100080, P.R. China
renjl@mx.amss.ac.cn
Abstract:
This paper is concerned with the existence of positive solution to the discrete three-point boundary value problem
,
where , and f is allowed to change sign. By constructing available operators, we shall apply the method of lower solution and the method of topology degree to obtain positive solution of the above problem for on a suitable interval. The associated Green’s function is first given.
Paper's Title:
Refinement Inequalities Among Symmetric Divergence Measures
Author(s):
Inder Jeet Taneja
Departamento de Matemática,
Universidade Federal de Santa Catarina, 88.040-900
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, Jeffryes-Kullback-Leiber’s
J-divergence, Sibson-Burbea-Rao’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 χ2−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:
A general theory of decision making
Author(s):
Frank Hansen
Department of Economics,
University of Copenhagen,
Studiestraede 6, DK-1455 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 non-additive measures.
Paper's Title:
Two Mappings Related to Steffensen's Inequalities
Author(s):
Liang-Cheng 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:
On Perturbed Reflection Coefficients
Author(s):
J. L. Díaz-Barrero 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 well-founded. 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 non-singular
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:
A New Hardy-Hilbert'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 Hardy-Hilbert’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 Hardy-Littlewood’s inequality are given.
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 piecewise-smooth
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:
Generalizations of Hermite-Hadamard's Inequalities for Log-Convex Functions
Author(s):
Ai-Jun Li
School of Mathematics and Informatics,
Henan Polytechnic University,
Jiaozuo City, Henan Province,
454010, China.
liaijun72@163.com
Abstract:
In this article, Hermite-Hadamard's inequalities are extended in
terms of the weighted power mean and log-convex
function. Several refinements, generalizations and related
inequalities are obtained.
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
(Φp(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:
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:
Positive Solutions for Systems of Three-point Nonlinear Boundary Value Problems
Author(s):
J. Henderson and S. K. Ntouyas
Department of Mathematics, Baylor University
Waco, Texas
76798-7328 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 three-point 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 Guo-Krasnosel'skii fixed
point theorem is applied. Paper's Title:
The Bernoulli Inequality in Uniformly
Complete f-algebras with Identity Author(s):
Adel Toumi and Mohamed Ali Toumi
Laboratoire de Physique des Liquides Critiques, Département de Physique, Faculté des Sciences de Bizerte,
7021, Zarzouna, Bizerte, TUNISIA
Département de Mathématiques, Faculté des Sciences de Bizerte, 7021, Zarzouna,
Bizerte, TUNISIA Abstract:
The main purpose of this paper is to establish with a constructive proof the
Bernoulli inequality: let A be a uniformly complete f-algebra
with e as unit element, let 1<p<∞, then (e+a)p≥e+pa for all a∈A+. As an
application we prove the Hölder
inequality for positive linear functionals on a uniformly complete f-algebra with identity by using the Minkowski inequality. 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,
Abstract:
In this paper we study a class of non regular boundary value
problems for elliptic differential-operator 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 Banach-valued 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:
Hyperbolic Barycentric Coordinates Author(s):
Abraham A. Ungar
Department of Mathematics, North Dakota State University, 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 the product of M-measures in l-groups Author(s):
A. Boccuto, B. Riěcan, and A. R. Sambucini
Dipartimento di Matematica e Informatica,
Abstract:
Some extension-type theorems and compactness
properties for the Paper's Title:
The Riemann-Stieltjes Integral on Time Scales Author(s):
D. Mozyrska, E. Pawłuszewicz,
D. Torres
Faculty Of Computer Science,
Abstract:
We study the process of integration on time
scales in the sense of Riemann-Stieltjes. Analogues of the classical properties
are proved for a generic time scale, and examples are given 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,
Dipartimento di Ingegneria
Dell’informazione e Matematica Applicata,
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 so-called generalized efficient
solutions via the scalarization of some penalized vector optimization problem.
Paper's Title:
Nontrivial Solutions of Singular Superlinear Three-point
Boundary Value Problems at Resonance
Author(s):
Feng Wang, Fang Zhang
School of Mathematics and Physics,
Abstract:
The singular superlinear second order three-point 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:
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 Saint-Etienne,
CIS - LPMG, UMR CNRS
5148,
158 cours Fauriel,
42023 Saint-Etienne Cedex 2, France.
Abstract:
Shape diagrams are representations in the Euclidean plane introduced to study
3-dimensional and 2-dimensional 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 thirty-one 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 thirty-one 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:
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 Saint-Etienne,
CIS - LPMG, UMR CNRS
5148,
158 cours Fauriel,
42023 Saint-Etienne Cedex 2, France.
Abstract:
Shape diagrams are representations in the Euclidean plane introduced to study 3-dimensional and 2-dimensional 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 twenty-two 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 twenty-two 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 Generalization of a Trace
Inequality for Positive Definite Matrices Author(s):
E. V. Belmega, M. Jungers, and
S. Lasaulce Université Paris-Sud Xi, SUPELEC,
belmega@lss.supelec.fr CNRS, ENSEM, CRAN, Vandoeuvre,
marc.jungers@cran.uhp-nancy.fr CNRS, SUPELEC, Laboratoire des Signaux et
Systčmes,
lasaulce@lss.supelec.fr Abstract:
In this note, we provide a generalization of the trace inequality derived in
[Belmega].
More precisely, we prove that
for arbitrary K ≥ 1 where Tr(∙) denotes the
matrix trace operator, A1, B1 are any positive
definite matrices and Ak, Bk for all k∈{2,...,k}, are
any positive semidefinite matrices.
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 High School Affiliated to Wuhan
University, China Abstract:
In this paper, we give two sets of necessary and sufficient conditions that the inequality f4(x,y,z)
≥ 0 holds for any real numbers x,y,z, where f4(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 f4(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:
Ap Functions and Maximal Operator Author(s):
Chunping Xie Department of Mathematics, E-mail:
xie@msoe.edu URL:
http://www.msoe.edu/people/chunping.xie Abstract:
The relationship between Ap functions and Hardy-Littlewood maximal operator on
Lp,λ(w), the weighted Morrey space, has been studied. Also the extropolation
theorem of Lp,λ(w) has been considered. Paper's Title:
On the Hyers-Ulam Stability of Homomorphisms and Lie Derivations Author(s):
Javad Izadi and Bahmann
Yousefi Department of Mathematics, Payame Noor
University, Abstract:
Let A be a Lie Banach*-algebra. For each elements (a, b) and (c, d) in A2:= A
* A, by definitions
(a, b) (c, d)= (ac, bd),
A2 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: A2→A2 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 A2. Furthermore, if A is a Lie Banach*-algebra, then D is called a Lie* derivation on
A2 whenever D is a Lie derivation with D (a, b)*= D (a*, b*) for all a, b∈A. In this paper, we investigate the Hyers-Ulam stability of Lie Banach*-algebra homomorphisms and Lie* derivations on the Banach*-algebra
A2. Paper's Title:
Hyponormal and K-Quasi-Hyponormal Operators On Semi-Hilbertian Spaces Author(s):
Ould Ahmed Mahmoud Sid Ahmed
and Abdelkader Benali Mathematics Department, Mathematics Department, Faculty of
Science, Abstract:
Let H be a Hilbert space and let A be a positive
bounded operator on H. The semi-inner product < u|v>A:=<Au|v>, u,v
∈ H induces a semi-norm || .||A on
H. This makes H into a semi-Hilbertian space. In this paper we
introduce the notions of hyponormalities and k-quasi-hyponormalities for operators on semi Hilbertian space
(H,||.||A), based on the works that studied normal, isometry, unitary and partial isometries operators in these spaces. Also, we generalize
some results which are already known for hyponormal and quasi-hyponormal operators. An
operator T ∈ BA (H) is said to be
(A, k)-quasi-hyponormal if
Paper's Title:
Credibility Based Fuzzy Entropy Measure Author(s):
G. Yari, M. Rahimi, B. Moomivand and P. Kumar Department of Mathematics, Qarzol-hasaneh Department of Mathematics and Statistics,
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:
A Generalization of Viete's Infinite Product and New Mean Iterations Author(s):
Ryo Nishimura Department of Frontier Materials 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:
New Refinements of Hölder's Inequality Author(s):
Xiu-Fen Ma College of Mathematical and Computer, Abstract:
In this paper, we define two mappings, investigate their properties, obtain some new refinements of Hölder's inequality. Paper's Title:
New Exact Taylor's Expansions without the Remainder: Application to Finance
Author(s):
Moawia Alghalith Economics Dept.,
E-mail:
malghalith@gmail.com Abstract:
We present new exact Taylor's expansions with
fixed coefficients and without the remainder. We apply the method to the
portfolio model. Corrigendum. Paper's Title:
A kind of Function Series and Its Applications Author(s):
Yang Tianze
Mechanical Engineering, E-mail:
qdyangtianze@163.com Abstract:
A kind of new function series is obtained in this paper. Their theorems and proofs are shown, and some applications are given. We give the expansion form of general integral and the series expansion form of function and the general expansion form of derivative. Using them in the mathematics,we get some unexpected result. 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, 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:
Cubic Alternating Harmonic Number Sums Author(s):
Anthony Sofo Victoria University, 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:
An Existence of the Solution to Neutral Stochastic Functional Differential Equations Under the Holder Condition Author(s):
Young-Ho Kim Department of Mathematics, E-mail: 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:
Some New Mappings Related to Weighted Mean Inequalities Author(s):
Xiu-Fen Ma College of Mathematical and Computer, 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:
Global Analysis on Riemannian Manifolds Author(s):
Louis Omenyi and Michael Uchenna Department of Mathematics, Computer
Science, Statistics and Informatics, Abstract:
In this paper, an exposition of the central concept of global analysis on a
Riemannan manifold is given. We extend the theory of smooth vector fields from open subsets of
Euclidean space to Riemannan manifolds. Specifically, we prove that a Riemannian
manifold admits a unique solution for a system of ordinary differential equations
generated by the flow of smooth tangent vectors. The idea of partial differential
equations on Riemannian manifold is highlighted on the unit sphere. Paper's Title:
Some fixed point results in partial S-metric spaces Author(s):
M. M. Rezaee, S. Sedghi, A. Mukheimer, K. Abodayeh, and Z. D. Mitrovic Department of Mathematics, Qaemshahr
Branch, Department of Mathematics, Qaemshahr
Branch, Department of Mathematics and General
Sciences, Department of Mathematics and General
Sciences, Nonlinear Analysis Research Group, Abstract:
We introduce in this article a new class of generalized metric spaces, called
partial S-metric spaces. In addition, we also give some interesting results on
fixed points in the partial S-metric spaces and some applications. Paper's Title:
Weyl's theorem for class Q and k - quasi class Q Operators Author(s):
S. Parvatham and D. Senthilkumar Department of Mathematics and Humanities,
Post Graduate and Research Department of
Mathematics, Abstract:
In this paper, we give some properties of class Q
operators. It is proved that every class Q operators satisfies
Weyl's theorem under the condition that T2 is isometry.
Also we proved that every k quasi class Q operators is
Polaroid and the spectral mapping theorem holds for this class of operator. It
will be proved that single valued extension property, Weyl and generalized
Weyl's theorem holds for every k quasi class Q
operators. 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, 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 Fermat-Torricelli
point of a triangle. Paper's Title:
Lie Group Theoretic Approach of One-Dimensional Black-Scholes Equation Author(s):
P. L. Zondi and M. B. Matadi Department of Mathematical sciences, Abstract:
This study discusses the Lie Symmetry Analysis of Black-Scholes equation via a modified local one-parameter transformations. It can be argued that the transformation of the Black-Scholes 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 Black-Scholes equation are constructed and lead to invariant solutions. Paper's Title:
A Caratheodory's Approximate Solutions of Stochastic Differential Equations Under the Hölder Condition Author(s):
Bo-Kyeong Kim and Young-Ho Kim Department of Mathematics, Abstract:
In this paper, based on the theorem of the uniqueness of the solution of the stochastic differential equation, the convergence possibility of the Caratheodory's approximate solution was studied by approximating the unique solution.
To obtain this convergence theorem, we used a Hölder condition and a weakened linear growth condition. Furthermore, The auxiliary theorems for the existence and continuity of the Caratheodory's approximate solution were investigated as a prerequisite. Paper's Title:
A Self Adaptive Method for Solving Split Bilevel Variational Inequalities Problem in Hilbert Spaces
Author(s):
Francis Akutsah1, Ojen Kumar Narain2, Funmilayo Abibat Kasali3 Olawale Kazeem Oyewole4 and Akindele Adebayo Mebawondu5 1School
of Mathematics, 2School
of Mathematics, 3Mountain Top University, 4Technion-Israel
Institute of Technology. 5School
of Mathematics, 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
α-strongly 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:
Topological Aspects of Discrete Switch Dynamical Systems Author(s):
Faiz Imam and Sharan Gopal Department of Mathematics, Department of Mathematics, ABSTRACT NOT FOUND. WEBSITE ERROR
Abstract:
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1: Paper Source
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Adel.Toumi@fst.rnu.tn
MohamedAli.Toumi@fsb.rnu.tn
1: Paper Source
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Route de Scipion, 19000,
Setif,
Algeria
aibeche@univ-setif.dz
1: Paper Source
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Fargo, ND 58105,
USA
Abraham.Ungar@ndsu.edu
URL: http://math.ndsu.nodak.edu/faculty/ungar/
1: Paper Source
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via Vanvitelli, 1 I-06123 Perugia,
Italy.
boccuto@dipmat.unipg.it
URL:
http://www.dipmat.unipg.it/~boccuto
Katedra Matematiky, Fakulta Prírodných Vied,
Univerzita Mateja Bela,
Tajovského, 40, Sk-97401 Banská Bystrica,
Slovakia.
riecan@fpv.umb.sk
Dipartimento di Matematica e Informatica,
via Vanvitelli, 1 I-06123 Perugia,
Italy.
matears1@unipg.it
URL:
http://www.unipg.it/~matears1
product of l-group-valued M-measures are proved.
1: Paper Source
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Białystok University Of Technology,
15-351 Białystok,
Poland
d.mozyrska@pb.edu.pl
Department Of Mathematics,
University Of Aveiro,
3810-193 Aveiro,
Portugal
ewa@ua.pt
Department Of Mathematics,
University Of Aveiro,
3810-193 Aveiro,
Portugal
delfim@ua.pt
1: Paper Source
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Dnipropetrovsk National University,
Naukova str., 13,
49050 Dnipropetrovsk,
Ukraine
p.kogut@i.ua
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
1: Paper Source
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Changzou University,
Changzhou, 213164,
China.
fengwang188@163.com
1: Paper Source
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rivollier@emse.fr;
debayle@emse.fr; pinoli@emse.fr
1: Paper Source
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rivollier@emse.fr;
debayle@emse.fr; pinoli@emse.fr
1: Paper Source
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Laboratoire Des Signaux Et Systčmes,
Gif-Sur-Yvette,
France.
http://veronica.belmega.lss.supelec.fr
France.
http://perso.ensem.inpl-nancy.fr/Marc.Jungers/
Gif-Sur-Yvette,
France.
http://samson.lasaulce.lss.supelec.fr
1: Paper Source
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Department of Automatic Control and Computers
University of Ploiesti
Romania.
vcirtoaje@upg-ploiesti.ro.
1: Paper Source
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Milwaukee School of Engineering,
1025 N. Broadway,
Milwaukee, Wisconsin 53202,
U. S. A.
1: Paper Source
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P.O. Box: 19395-3697, Tehran,
Iran.
E-mail: javadie2003@yahoo.com,
b_yousefi@pnu.ac.ir
|(a, b)|= |a|+ |b|,
(a, b)*= (a*, b*),
1: Paper Source
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College of Science,
Aljouf University,
Aljouf 2014,
Saudi Arabia.
E-mail:
sididahmed@ju.edu.sa
Hassiba Benbouali, University of Chlef,
B.P. 151 Hay Essalem, Chlef 02000,
Algeria.
E-mail:
benali4848@gmail.com
1: Paper Source
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Iran University
of Science and Technology,
Tehran,
Iran.
E-mail:
Yari@iust.ac.ir
E-mail:
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
Mehr Iran Bank, Tehran,
Iran.
E-mail:
B.moomivand@qmb.ir
University of Northern British Columbia,
Prince George, BC,
Canada.
E-mail:
Pranesh.Kumar@unbc.ca
1: Paper Source
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Nagoya Institute of Technology
Gokiso-cho, Showa-ku, Nagoya
Aichi, 466-8555, Japan.
E-mail: rrnishimura@gmail.com
1: Paper Source
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Chongqing Normal University Foreign Trade and Business College,
No.9 of Xuefu Road, Hechuan District 401520,
Chongqing City,
The People's Republic of China.
E-mail: maxiufen86@163.com
1: Paper Source
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University of the West Indies,
St Augustine,
Trinidad and Tobago.
A corrigendum for this article has been published. To view the corrigendum,
please click
here.
1: Paper Source
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Shandong University, Xinglongshan Campus,
Jinan, Shandong,
China.
1: Paper Source
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Badji Mokhtar University,
PO Box 12,
Annaba, Algeria.
E-mail:
benseghirrym@ymail.com,
abenchettah@hotmail.com
1: Paper Source
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College of Engineering and Science,
Melbourne City,
Australia.
E-mail:
Anthony.Sofo@vu.edu.au
1: Paper Source
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Changwon National University,
Changwon, Gyeongsangnam-do 51140,
Korea.
1: Paper Source
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Chongqing Normal University Foreign Trade and Business College,
No.9 of Xuefu Road, Hechuan District 401520,
Chongqing City,
The People's Republic of China.
E-mail: maxiufen86@163.com
1: Paper Source
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Alex Ekwueme Federal University, Ndufu-Alike,
Nigeria.
E-mail: omenyi.louis@funai.edu.ng,
michael.uchenna@funai.edu.ng
URL: http://www.funai.edu.ng
1: Paper Source
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Islamic Azad University, Qaemshahr,
Iran.
E-mail: Rezaee.mohammad.m@gmail.com
Islamic Azad University, Qaemshahr,
Iran.
E-mail: sedghi.gh@qaemiau.ac.ir
Prince Sultan University, Riyadh,
KSA.
E-mail: mukheimer@psu.edu.sa
Prince Sultan University, Riyadh,
KSA.
E-mail: kamal@psu.edu.sa
Faculty of Mathematics and Statistics,
Ton Duc Thang University, Ho Chi Minh City,
Vietnam.
E-mail: zoran.mitrovic@tdtu.edu.vn
1: Paper Source
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Sri Ramakrishna Institute of Technology, Coimbatore-10, Tamilnadu,
India.
E-mail: parvathasathish@gmail.com
Govt. Arts College, Coimbatore-641018, Tamilnadu,
India.
E-mail: senthilsenkumhari@gmail.com
1: Paper Source
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Department of Mathematics,
14 MacLean Hall,
Iowa City, Iowa,
USA.
E-mail:
margarita-bustosgonzalez@uiowa.edu
The Ohio State University at Marion,
Department of Mathematics,
1465 Mount Vernon Avenue,
Marion, Ohio,
USA.
E-mail: stan.7@osu.edu
1: Paper Source
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Faculty of Sciences & Agriculture, University of Zululand,
P Bag X1001, Kwa-Dlangezwa 3886,
South Africa.
E-mail: matadim@unizulu.ac.za
zondip@unizulu.ac.za
1: Paper Source
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Changwon National University,
Changwon, Gyeongsangnam-do 51140,
Korea.
E-mail: claire9576@naver.com
yhkim@changwon.ac.kr
1: Paper Source
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Statistics and Computer Science,
University of KwaZulu-Natal, Durban,
South Africa.
E-mail: 216040405@stu.ukzn.ac.za,
akutsah@gmail.com
Statistics and Computer Science,
University of KwaZulu-Natal, Durban,
South Africa.
E-mail: naraino@ukzn.ac.za
Prayer City, Ogun State,
Nigeria.
E-mail: fkasali@mtu.edu.ng
E-mail: 217079141@stu.ukzn.ac.za,
oyewoleolawalekazeem@gmail.co
Statistics and Computer Science,
University of KwaZulu-Natal, Durban,
South Africa.
DST-NRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS),
Johannesburg,
South Africa.
Mountain Top University,
Prayer City, Ogun State,
Nigeria.
E-mail: dele@aims.ac.za
1: Paper Source
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BITS - Pilani, Hyderabad Campus,
India.
E-mail: mefaizy@gmail.com
BITS - Pilani, Hyderabad Campus,
India.
E-mail: sharanraghu@gmail.com
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