


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:
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:
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 Differential Sandwich Theorem for Analytic Functions Defined by the Generalized Sălăgean Operator
Author(s):
D. Răducanu and V. O. Nechita
Faculty of Mathematics and Computer
Science,
"Transilvania" University Braşov
Str. Iuliu Maniu 50, 500091 Braşov,
Romania
dorinaraducanu@yahoo.com
Faculty of Mathematics and Computer
Science,
"BabeşBolyai" University ClujNapoca,
Str. M. Kogalniceanu 1, 400084 ClujNapoca,
Romania
URL:
http://math.ubbcluj.ro/~vnechita/
vnechita@math.ubbcluj.ro
Abstract:
We obtain some subordination and superordination results involving the generalized Sălăgean differential operator for certain normalized analytic functions in the open unit disk. Our results extend corresponding previously known results.
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:
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:
Action of Differential Operators On Chirpsconstruct On L^{∞}
Author(s):
Taoufik El Bouayachi and Naji Yebari
Laboratoire de Mathematiques et
applications,
Faculty of sciences and techniques, Tangier,
Morocco.
Email:
figo407@gmail.com,
yebarinaji@gmail.com
Abstract:
We will study in this work the action of differential operators on L∞ chirps and we will give a new definition of logarithmic chirp. Finally we will study the action of singular integral operators on chirps by wavelet characterization and Kernel method.
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:
On Singular Numbers of Hankel Matrices of Markov Functions
Author(s):
Vasily 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:
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 σ_{kn,n} of the Hankel matrix D_{n}, where k_{n}/n→θ∈[0,1] as n→∞. Moreover, we obtain asymptotics of the Kolmogorov, Gelfand and linear kwidths, k=k_{n}, of the unit ball A_{n,2} of P_{n}∩L_{2}(Γ) in the space L_{2}(μ,E), where Γ={z:z=1} and P_{n} is the class of all polynomials of the degree at most n.
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:
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:
On a Class of Meromorphic Functions of Janowski Type Related with a Convolution Operator
Author(s):
Abdul Rahman S. Juma, Husamaldin I. Dhayea
Department of
Mathematics,
Alanbar University, Ramadi,
Iraq.
Email: dr_juma@hotmail.com
Department of Mathematics,
Tikrit University, Tikrit,
Iraq.
URL: husamaddin@gmail.com
Abstract:
In this paper, we have introduced and studied new operator $Q^{k}_{λ,m,γ} by the Hadamard product (or convolution) of two linear operators D^{k}_{λ} and I_{m,γ}, then using this operator to study and investigate a new subclass of meromorphic functions of Janowski type, giving the coefficient bounds, a sufficient condition for a function to belong to the considered class and also a convolution property. The results presented provide generalizations of results given in earlier works.
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:
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:
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
Università 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:
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:
Certain Coefficient Estimates for Biunivalent Sakaguchi Type Functions
Author(s):
B. Srutha Keerthi, S. Chinthamani
Department of Applied Mathematics,
Sri Venkateswara College of Engineering,
Sriperumbudur, Chennai  602105,
India
Abstract:
Estimates on the initial coefficients are obtained for normalized analytic functions f in the open unit disk with f and its inverse g = f^{1} satisfying the conditions that zf'(z) / f(z) and zg'(z) / g(z) are both subordinate to a starlike univalent function whose range is symmetric with respect to the real axis. Several related classes of functions are also considered, and connections to earlier known results are made.
Paper's Title:
Properties of Certain Multivalent Functions Involving Ruscheweyh Derivatives
Author(s):
NEng Xu and DingGong Yang
Department of Mathematics,
Changshu Institute of Technology,
Changshu, Jiangsu 215500,
China
Abstract:
Let A_{p}(p∈ N) be the class of functions which are analytic in the unit disk. By virtue of the Ruscheweyh derivatives we introduce the new subclasses C_{p}(n,α,β,λ,μ) of A_{p}. Subordination relations, inclusion relations, convolution properties and a sharp coefficient estimate are obtained. We also give a sufficient condition for a function to be in C_{p}(n,α,β,λ,μ)
Paper's Title:
A Subordination Theorem for Analytic Functions
Author(s):
Marjono
Department of Mathematics, Faculty of
Mathematics and Natural Sciences,
University of Brawijaya,
Jl. Veteran Malang 65145,
INDONESIA.
Email: marjono@ub.ac.id
URL: http://matematika.ub.ac.id
Abstract:
It is shown that if f is analytic in D={z:z<1}, with f(0)=f'(0)1=0, then for implies where and that β(γ) is the largest number such that this implication holds.
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:
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:
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:
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:
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:
An Application of Quasi Power Increasing Sequences
Author(s):
Hüseyín Bor
Department of Mathematics, Erciyes University, 38039 Kayseri,
Turkey
bor@erciyes.edu.tr
Url:
Http://math.erciyes.edu.tr/Hbor.htm
Abstract:
In this paper a result of Bor [2] has been proved under weaker conditions by using a quasi power increasing sequence instead of an almost increasing sequence.
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:
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:
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:
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:
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:
A Subclass of Meromorphically Multivalent Functions with Applications to Generalized Hypergeometric Functions
Author(s):
M. K. Aouf
Mathematics Department,
Faculty of Science,
Mansoura University 35516,
Egypt
mkaouf127@yahoo.com
Abstract:
In this paper a new subclass of meromorphically multivalent functions, which is defined by means of a Hadamard product (or convolution) involving some suitably normalized meromorphically pvalent functions. The main object of the present paper is to investigate the various important properties and characteristics of this subclass of meromorphically multivalent functions. We also derive many interesting results for the Hadamard products of functions belonging to this subclass. Also we consider several applications of our main results to generalized hypergeomtric functions.
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:
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:
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:
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:
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:
Generalizations of two theorems on absolute summability methods
Author(s):
H.S. Özarslan and H.N. Öğdük
Department of Mathematics,
Erciyes University, 38039 Kayseri,
Turkey
seyhan@erciyes.edu.tr
nogduk@erciyes.edu.tr
URL:
http://fef.erciyes.edu.tr/math/hikmet.htm
Abstract:
In this paper two theorems on _{} summability methods, which generalize two theorems of Bor on _{} summability methods, have been proved.
Paper's Title:
Distortion Theorems for Certain Analytic Functions Involving the Coefficient Inequalities
Author(s):
Shigeyoshi Owa and Junichi Nishiwaki
Department of Mathematics, Kinki University,
HigashiOsaka, Osaka 5778502,
Japan
Abstract:
By virtue of the coefficient inequalities for certain analytic functions _{} in the open unit disk _{} two subclasses _{} and _{} are introduced. The object of the present paper is to discuss the distortion thorems of functions _{} belonging to the classes _{}_{} involving the coefficient inequalities.
Paper's Title:
On Some Ramanujan's Schläfli Type Modular Equations
Author(s):
K. R. Vasuki
Department of Mathematics, Acharya Institute of Technology, Soldevanahalli,
Chikkabanavara (Post), Hesaragatta Main Road, Bangalore560 090,
INDIA.
vasuki_kr@hotmail.com
Abstract:
In this paper, we give new proof of certain RamanujanSchläfli modular equations. We also obtain a new modular equation of degree 23.
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 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:
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,
Università 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:
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:
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:
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:
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:
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:
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:
Purely Unrectifiable Sets with Large Projections
Author(s):
Harold R. Parks
Department of Mathematics,
Oregon State University,
Corvallis, Oregon 973314605,
USA
parks@math.oregonstate.edu
URL: http://www.math.oregonstate.edu/people/view/parks/
Abstract:
For n≥2, we give a construction of a compact subset of that is dispersed enough that it is purely unrectifiable, but that nonetheless has an orthogonal projection that hits every point of an (n1)dimensional unit cube. Moreover, this subset has the additional surprising property that the orthogonal projection onto any straight line in is a set of positive 1dimensional Hausdorff measure.
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:
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:
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:
Stability of the DBar Reconstruction Method for Complex Conductivities
Author(s):
^{1}S. El Kontar, ^{1}T. El Arwadi, ^{1}H. Chrayteh, ^{2}J.M. SacÉpée
^{1}Department of Mathematics and
Computer Science,
Faculty of Science, Beirut Arab University,
P.O. Box: 115020, Beirut,
Lebanon.
Email: srs915@student.bau.edu.lb
^{2}Institut Élie Cartan de
Lorraine,
Université de Lorraine  Metz,
France.
Abstract:
In 2000, Francini solved the inverse conductivity problem for twicedifferentiable conductivities and permittivities. This solution was considered to be the first approach using Dbar methods with complex conductivities. In 2012, based on Francini's work, Hamilton introduced a reconstruction method of the conductivity distribution with complex values. The method consists of six steps. A voltage potential is applied on the boundary. Solving a DBar equation gives the complex conductivity. In this paper, the stability of the DBar equation is studied via two approximations, t^{exp} and t^{B}, for the scattering transform. The study is based on rewriting the reconstruction method in terms of continuous operators. The conductivity is considered to be non smooth.
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:
EulerMaclaurin Formulas for Functions of Bounded Variation
Author(s):
G. De Marco, M. De Zotti, C. Mariconda
Dipartimento di Matematica Tullio LeviCivita,
Universita degli Studi di Padova
Via Trieste 63, Padova 35121,
Italy.
Email: carlo.mariconda@unipd.it
URL: http://www.math.unipd.it
Abstract:
The firstorder EulerMaclaurin formula relates the sum of the values of a smooth function on an interval of integers with its integral on the same interval on R. We formulate here the analogue for functions that are just of bounded variation.
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:
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:
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:
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:
A relation between nuclear cones and full nuclear cones
Author(s):
G. Isac and A. B. Nemeth
Department of Mathematics,
Royal Military College of Canada,
P. O. Box 17000 STN Forces Kingston, Ontario,
Canada K7K 7B4.
isacg@rmc.ca
Faculty of Mathematics and Computer Science,
BabesBolyai University,
3400 ClujNapoca,
Romania.
nemab@math.ubbcluj.ro
Abstract:
The notion of nuclear cone in locally convex spaces corresponds to the notion of well based cone in normed spaces. Using the bipolar theorem from locally convex spaces it is proved that every closed nuclear cone is a full nuclear cone. Thus every closed nuclear cone can be associated to a mapping from a family of continuous seminorms in the space to the topological dual of the space. The relation with Pareto efficiency is discussed.
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:
On the FeketeSzegő Inequality for Some Subclasses of Analytic Functions
Author(s):
T.N. Shanmugam and A. Singaravelu
Department of Mathematics,
College of Engineering,
Anna University, Chennai600 025,
Tamilnadu, India
shan@annauniv.edu
Department of Mathematics,
Valliammai Engineering College,
Chennai603 203,
Tamilnadu, India
sivasaisastha@rediffmail.com
Abstract:
In this present investigation, the authors obtainFeketeSzegő's inequality for certain normalized analytic functions _{} defined on the open unit disk for which _{} lie in a region starlike with respect to 1 and symmetric with respect to the real axis. Also certain applications of the main result for a class of functions defined by convolution are given. As a special case of this result, FeketeSzegő's inequality for a class of functions defined through fractional derivatives is also obtained.
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 Coefficient Inequality For Certain Subclasses of Analytic Functions Related to Complex Order
Author(s):
B. Srutha Keerthi, B. Adolf Stephen and S. Sivasubramanian
Department Of Applied Mathematics, Sri Venkateswara College Of Engineering, Anna University,
Sriperumbudur, Chennai  602 105,
India.
laya@svce.ac.in
Department of Mathematics, Madras Christian College,
Chennai  600059,
India
adolfmcc2003@yahoo.co.in
Department of Mathematics, College of Engineering, Anna University,
Tamilnadu, Chennai  600 025,
India.
sivasaisastha@rediffmail.com
Abstract:
In this present investigation, the authors obtain coefficient inequality for certain normalized analytic functions of complex order f(z) defined on the open unit disk for which _{ } (_{ } and _{} be a complex number) lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also certain applications of the main result for a class of functions of complex order defined by convolution are given. As a special case of this result, coefficient inequality for a class of functions defined through fractional derivatives is obtained. The motivation of this paper is to give a generalization of the coefficient inequalities of the subclasses of starlike and convex functions of complex order.
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:
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:
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:
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:
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:
Fractional Integral Operators and Olsen Inequalities on NonHomogeneous Spaces
Author(s):
Idha Sihwaningrum, Herry P. Suryawan, Hendra Gunawan
Analysis and Geometry Group,
Faculty of Mathematics and Natural Sciences,
Bandung Institute of Technology, Bandung 40132,
Indonesia
hgunawan@math.itb.ac.id
URL:
http://personal.fmipa.itb.ac.id/hgunawan/
Abstract:
We prove the boundedness of the fractional integral operator I_{α} on generalized Morrey spaces of nonhomogeneous type. In addition, we also present Olsentype inequalities for a multiplication operator involving I_{α}. Our proof uses a result of GarcíaCuerva and Martell [3].
Paper's Title:
A Generalization of a Trace Inequality for Positive Definite Matrices
Author(s):
E. V. Belmega, M. Jungers, and S. Lasaulce
Université ParisSud Xi, SUPELEC,
Laboratoire Des Signaux Et Systèmes,
GifSurYvette,
France.
belmega@lss.supelec.fr
http://veronica.belmega.lss.supelec.fr
CNRS, ENSEM, CRAN, Vandoeuvre,
France.
marc.jungers@cran.uhpnancy.fr
http://perso.ensem.inplnancy.fr/Marc.Jungers/
CNRS, SUPELEC, Laboratoire des Signaux et
Systèmes,
GifSurYvette,
France.
lasaulce@lss.supelec.fr
http://samson.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, A_{1}, B_{1} are any positive definite matrices and A_{k}, B_{k} for all k∈{2,...,k}, are any positive semidefinite matrices.
Paper's Title:
Uniform Convergence of Schwarz Method for Noncoercive Variational Inequalities Simple Proof
Author(s):
M. Haiour and E. Hadidi.
Department of mathematics, LANOS Laboratory,
Faculty of the Sciences, University Badji Mokhtar,
P.O 23000 Annaba,
Algeria.
haiourm@yahoo.fr,
ehadidi71@yahoo.fr
Abstract:
In this paper we study noncoercive variational inequalities, using the Schwarz method. The main idea of this method consists in decomposing the domain in two subdomains. We give a simple proof for the main result concerning L^{∞} error estimates, using the Zhou geometrical convergence and the L^{∞} approximation given for finite element methods by CourtyDumont.
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:
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:
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 Abbès 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:
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:
New Inequalities of Mill's Ratio and Application to The Inverse Qfunction Approximation
Author(s):
Pingyi Fan
Department of Electronic Engineering,
Tsinghua University, Beijing,
China
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 Qfunction 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 Qfunction.
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:
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:
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:
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:
BirkhoffJames orthogonality and Best Approximant in L_{1}(X)
Author(s):
Mecheri Hacene and Rebiai Belgacem
Department of Mathematics and
Informatics,
LAMIS laboratory, University of Tebessa,
Algeria.
Email: mecherih2000@yahoo.fr
Department of Mathematics and
Informatics,
LAMIS laboratory, University of Tebessa,
Algeria.
Email: brebiai@gmail.com
Abstract:
Let X be a complex Banach space and let (X,ρ) be a positive measure space. The BirkhoffJames orthogonality is a generalization of Hilbert space orthogonality to Banach spaces. We use this notion of orthogonality to establish a new characterization of BirkhoffJames orthogonality of bounded linear operators in L_{1}(X,ρ) also implies best approximation has been proved.
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:
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:
The Influence of Fluid Pressure in Macromechanical Cochlear Model
Author(s):
F. E. Aboulkhouatem^{1}, F. Kouilily^{1}, N. Achtaich^{1}, N. Yousfi^{1} and M. El Khasmi^{2}
^{1}Department
of Mathematics and Computer Science, Faculty of Sciences
Ben M'sik, Hassan II University, Casablanca,
Morocco.
^{2}Department
of Biology, Faculty of Sciences
Ben M'sik, Hassan II University, Casablanca,
Morocco.
Email:
fatiaboulkhouatem@gemail.com
URL: http://www.fsb.univh2c.ma/
Abstract:
An increase of pressure in the structure of cochlea may cause a hearing loss. In this paper, we established the relationship between the fluid pressure and the amplitude of displacement of Basilar Membrane to clarify the mechanisms of hearing loss caused by increasing of this pressure. So, a mathematical cochlear model was formulated using finite difference method in order to explain and demonstrate this malfunction in passive model. Numerical simulations may be considered as helpful tools which may extend and complete the understanding of a cochlea dysfunction.
Paper's Title:
Dynamical Analysis of HIV/AIDS Epidemic Model with Two Latent Stages, Vertical Transmission and Treatment
Author(s):
Nur Shofianah, Isnani Darti, Syaiful Anam
Mathematics Department,Faculty of
Mathematics and Natural Sciences.
University of Brawijaya,
Jl. Veteran, Malang 65145,
Indonesia.
Email:
nur_shofianah@ub.ac.id,
isnanidarti@ub.ac.id,
syaiful@ub.ac.id
Abstract:
We discuss about dynamical analysis of HIV/AIDS epidemic model with two latent stages, vertical transmission and treatment. In this model, the spreading of HIV occurs through both horizontal and vertical transmission. There is also treatment for individual who has been HIV infected. The latent stage is divided into slow and fast latent stage based on the immune condition which varies for each individual. Dynamical analysis result shows that the model has two equilibrium points: the diseasefree equilibrium point and the endemic equilibrium point. The existence and global stability of equilibrium points depend on the basic reproduction number R_{0}. When R_{0} <1, only the diseasefree equilibrium point exists. If R_{0} >1, there are two equilibrium points, which are the diseasefree equilibrium point and the endemic equilibrium point. Based on the result of stability analysis, the diseasefree equilibrium point is globally asymptotically stable if R_{0} <1, while if R_{0} > 1 and p=q, the endemic equilibrium point will be globally asymptotically stable. In the end, we show some numerical simulations to support the analytical result.
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,
Sri Ramakrishna Institute of Technology, Coimbatore10, Tamilnadu,
India.
Email: parvathasathish@gmail.com
Post Graduate and Research Department of
Mathematics,
Govt. Arts College, Coimbatore641018, Tamilnadu,
India.
Email: senthilsenkumhari@gmail.com
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 T^{2} 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:
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:
Coexisting Attractors and Bubbling Route to Chaos in Modified Coupled Duffing Oscillators
Author(s):
B. Deruni^{1}, A. S. Hacinliyan^{1,2}, E. Kandiran^{3}, A. C. Keles^{2}, S. Kaouache^{4}, M.S. Abdelouahab^{4}, N.E. Hamri^{4}
^{1}Department
of Physics,
University of Yeditepe,
Turkey.
^{2}Department
of Information Systems and Technologies,
University of Yeditepe,
Turkey
^{3}Department
of Software Development,
University of Yeditepe,
Turkey.
^{4}Laboratory
of Mathematics and their interactions,
University Center of Abdelhafid Boussouf,
Mila 43000,
Algeria.
Email:
berc890@gmail.com
ahacinliyan@yeditepe.edu.tr
engin.kandiran@yeditepe.edu.tr
cihan.keles@yeditepe.edu.tr
s.kaouache@centrunivmila.dz
medsalah3@yahoo.fr
n.hamri@centreunivmila.dz
Abstract:
In this article dynamical behavior of coupled Duffing oscillators is analyzed under a small modification. The oscillators have cubic damping instead of linear one. Although single duffing oscillator has complex dynamics, coupled duffing systems possess a much more complex structure. The dynamical behavior of the system is investigated both numerically and analytically. Numerical results indicate that the system has double scroll attractor with suitable parameter values. On the other hand, bifurcation diagrams illustrate rich behavior of the system, and it is seen that, system enters into chaos with different routes. Beside classical bifurcations, bubbling route to chaos is observed for suitable parameter settings. On the other hand, Multistability of the system is indicated with the coexisting attractors, such that under same parameter setting the system shows different periodic and chaotic attractors. Moreover, chaotic synchronization of coupled oscillators is illustrated in final section.
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:
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:
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:
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:
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:
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:
Comparison Results for Solutions of Time Scale Matrix Riccati Equations and Inequalities
Author(s):
R. Hilscher
Department of Mathematical Analysis, Faculty of Science,
Masaryk University, Janáčkovo nám. 2a,
CZ60200, Brno, Czech Republic.
hilscher@math.muni.cz
URL: http://www.math.muni.cz/~hilscher/
Abstract:
In this paper we derive comparison results for Hermitian solutions of time scale matrix Riccati equations and Riccati inequalities. Such solutions arise from special conjoined bases (X,U) of the corresponding time scale symplectic system via the Riccati quotient _{}. We also discuss properties of a unitary matrix solution _{} of a certain associated Riccati equation.
Paper's Title:
Iterated Order of Fast Growth Solutions of Linear Differential Equations
Author(s):
Benharrat Belaïdi
Department of Mathematics
Laboratory of Pure and Applied Mathematics
University of Mostaganem
B. P. 227 Mostaganem,
ALGERIA.
belaidi@univmosta.dz
Abstract:
In this paper, we investigate the growth of solutions of the differential equation f^{(k)} + A_{k1} (z) f^{(k1)} +...+ A_{1} (z) f' + A_{0} (z) f= F (z), where A_{o} (z), ..., A_{k1} (z) and F (z) _{} 0 are entire functions. Some estimates are given for the iterated order of solutions of the above quation when one of the coefficients A_{s} is being dominant in the sense that it has larger growth than A_{j} (j≠s) and F.
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:
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:
On Some Remarkable Product of Thetafunction
Author(s):
M. S. Mahadeva Naika, M. C. Maheshkumar and K. Sushan Bairy
Department of Mathematics,
Bangalore University, Central College Campus,
Bangalore560 001,
INDIA
msmnaika@rediffmail.com
softmahe@rediffmail.com
ksbairy@gmail.com
Abstract:
On pages 338 and 339 in his first notebook, Ramanujan records eighteen values for a certain product of thetafunction. All these have been proved by B. C. Berndt, H. H. Chan and LC. Zhang [4]. Recently M. S. Mahadeva Naika and B. N. Dharmendra [7, 8] and Mahadeva Naika and M. C. Maheshkumar [9] have obtained general theorems to establish explicit evaluations of Ramanujan's remarkable product of thetafunction. Following Ramanujan we define a new function b_{M,N} as defined in (1.5). The main purpose of this paper is to establish some new general theorems for explicit evaluations of product of thetafunction.
Paper's Title:
The Bernoulli Inequality in Uniformly Complete falgebras 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
Adel.Toumi@fst.rnu.tn
Département de Mathématiques, Faculté des Sciences de Bizerte, 7021, Zarzouna,
Bizerte, TUNISIA
MohamedAli.Toumi@fsb.rnu.tn
Abstract:
The main purpose of this paper is to establish with a constructive proof the Bernoulli inequality: let A be a uniformly complete falgebra 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 falgebra with identity by using the Minkowski inequality.
Paper's Title:
Existence Results for Perturbed Fractional Differential Inclusions
Author(s):
Y.K. Chang
Department of Mathematics,
Lanzhou Jiaotong University, Lanzhou, Gansu 730070, People's
Republic of China
lzchangyk@163.com
Abstract:
This paper is mainly concerned with the following fractional differential inclusions with boundary condition
A sufficient condition is established for the existence of solutions of the above problem by using a fixed point theorem for multivalued maps due to Dhage. Our result is proved under the mixed generalized Lipschitz and Carathéodory conditions.
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:
Ergodic Solenoidal Homology II: Density of Ergodic Solenoids
Author(s):
Vicente Muñoz and Ricardo Pérez Marco
Instituto de Ciencias Matemáticas
CSICUAMUC3MUCM,
Serrano 113 bis, 28006 Madrid,
Spain
and
Facultad de Matemáticas, Universidad Complutense de Madrid,
Plaza
de Ciencias 3, 28040 Madrid,
Spain
CNRS, LAGA UMR 7539, Université
Paris XIII,
99 Avenue J.B. Cl\'ement, 93430Villetaneuse,
France
vicente.munoz@imaff.cfmac.csic.es
ricardo@math.univparis13.fr
Abstract:
A measured solenoid is a laminated space endowed with a tranversal measure invariant by holonomy. A measured solenoid immersed in a smooth manifold produces a closed current (known as a generalized RuelleSullivan current). Uniquely ergodic solenoids are those for which there is a unique (up to scalars) transversal measure. It is known that for any smooth manifold, any real homology class is represented by a uniquely ergodic solenoid. In this paper, we prove that the currents associated to uniquely ergodic solenoids are dense in the space of closed currents, therefore proving the abundance of such objects.
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:
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 ≠ Ø, 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:
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:
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:
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:
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:
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:
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, Luleå University of Technology,
SE971 87, Luleå , 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:
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:
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:
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:
Finite and Infinite Order Solutions of a Class of Higher Order Linear Differential Equations
Author(s):
Saada Hamouda
Department of Mathematics,
Laboratory of Pure and Applied Mathematics,
University of Mostaganem, B. P 227 Mostaganem,
ALGERIA
hamouda_saada@yahoo.fr
Abstract:
In this paper, we investigate the growth of solutions of higher order linear differential equations where most of the coefficients have the same order and type with each other.
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:
A Note on Mixed Norm Spaces of Analytic Functions
Author(s):
K. Avetisyan
Faculty of Physics, Yerevan State
University,
Alex Manoogian st. 1, Yerevan, 375025,
Armenia
avetkaren@ysu.am
Abstract:
A direct and elementary proof of an estimate of Littlewood is given together with an application concerning the sharpness and strictness of some inclusions in mixed norm spaces of analytic functions.
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:
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:
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:
A OneLine Derivation of the Euler and Ostrogradski Equations
Author(s):
Olivier de La Grandville
Stanford University,
Department of Management Science and Engineering,
Stanford, CA 94305,
U. S. A
Abstract:
At the very heart of major results of classical physics, the Euler and Ostrogradski equations have apparently no intuitive interpretation. In this paper we show that this is not so. Relying on Euler's initial geometric approach, we show that they can be obtained through a direct reasoning that does not imply any calculation. The intuitive approach we suggest offers two benefits: it gives immediate significance to these fundamental secondorder nonlinear differential equations; and second, it allows to obtain a property of the calculus of variations that does not seem to have been uncovered until now: the Euler and Ostrogradski equations can be derived not necessarily by giving a variation to the optimal function  as is always done; one could equally well start by giving a variation to their derivative(s).
Paper's Title:
Unital Compact Homomorphisms Between Extended Analytic Uniform Algebras
Author(s):
D. Alimohammadi and M. Mayghani
Department of Mathematics,
Faculty of Science, Arak University,
PO Box 3815688349, Arak,
Iran.
Abstract:
Let X and K be compact plane sets with K⊆X. We denote by A(X,K) and A(X) the algebras of all continuous complexvalued functions on X which are analytic on int(K) and int(X), respectively. It is known that A(X,K) and A(X) are natural uniform algebras on X. A(X) and A(X,K) are called analytic uniform algebra and extended analytic uniform algebra on X, respectively. In this paper we study unital homomorphisms between extended analytic uniform algebras and investigate necessary and sufficient conditions for which these homomorphisms to be compact. We also determine the spectrum of unital compact endomorphisms of extended analytic uniform algebras.
Paper's Title:
TraubPotraType Method for SetValued Maps
Author(s):
Ioannis K. Argyros and Saïd 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:
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:
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:
EndPoint and Transversality Conditions in the Calculus of Variations: Derivations through Direct Reasoning
Author(s):
Olivier de La Grandville
Stanford University,
Department of Management Science and Engineering,
475 Via Ortega, Stanford, CA 94305,
U. S. A.
Email: ola@stanford.edu
Abstract:
We offer an intuitive explanation of the endpoint and transversality conditions that complement the Euler equation in the calculus of variations. Our reasoning is based upon the fact that any variation given to an optimal function must entail a zero net gain to the functional, all consequences of implied changes in its derivative being fully taken into account.
Paper's Title:
Application of Equivalence Method to Classify MongeAmpère 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 MongeAmpère equations of elliptic type. Then we find a necessary and sufficient conditions such that a MongeAmpère equation is either contactomorphic to the Laplace equation or to an EulerLagrange equation.
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:
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:
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:
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:
Some interesting properties of finite continuous Cesàro operators
Author(s):
Abdelouahab Mansour and Abderrazak Hechifa
Operator theory laboratory (LABTHOP),
Eloued University,
Algeria.
Email:
amansour@math.univlyon1.fr
Mathematics Department,
Faculty of Science,
Badji Mokhtar University, Annaba,
Algeria.
Email:
abderrazak02@gmail.com
Abstract:
A complex scalar λ is called an extended eigenvalue of a bounded linear operator T on a complex Banach space if there is a nonzero operator X such that TX = λ XT, the operator X is called extended eigenoperator of T corresponding to the extended eigenvalue λ.
In this paper we prove some properties of extended eigenvalue and extended eigenoperator for C_{1} on L^{p}([0,1]), where C_{1} is the Cesàro operator defined on the complex Banach spaces L^{p}([0 , 1]) for 1<p<∞ by the expression
Paper's Title:
Generalized Weighted Trapezoid and Grüss Type Inequalities on Time Scales
Author(s):
Eze Raymond Nwaeze
Department of Mathematics,
Tuskegee University,
Tuskegee, AL 36088,
USA.
Email: enwaeze@mytu.tuskegee.edu
Abstract:
In this work, we obtain some new generalized weighted trapezoid and Grüss type inequalities on time scales for parameter functions. Our results give a broader generalization of the results due to Pachpatte in [14]. In addition, the continuous and discrete cases are also considered from which, other results are obtained.
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:
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:
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:
Relation Between The Set Of Nondecreasing Functions And The Set Of Convex Functions
Author(s):
Qefsere Doko Gjonbalaj and Luigj Gjoka
Department of Mathematics, Faculty of
Electrical and Computer Engineering,
University of Prishtina "Hasan Prishtina",
Prishtine 10000,
Kosova
Email:
qefsere.gjonbalaj@unipr.edu
Department of Engineering Mathematics,
Polytechnic University of Tirana, Tirana,
Albania.
Email: luigjgjoka@ymail.com
Abstract:
In this article we address the problem of integral presentation of a convex function. Let I be an interval in R. Here, using the Riemann or Lebesgue’s integration theory, we find the necessary and sufficient condition for a function f: I→ R to be convex in I.
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:
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:
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:
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:
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:
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 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:
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:
Global Analysis on Riemannian Manifolds
Author(s):
Louis Omenyi and Michael Uchenna
Department of Mathematics, Computer
Science, Statistics and Informatics,
Alex Ekwueme Federal University, NdufuAlike,
Nigeria.
Email: omenyi.louis@funai.edu.ng,
michael.uchenna@funai.edu.ng
URL: http://www.funai.edu.ng
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:
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:
Applications of Von Neumann Algebras to Rigidity Problems of (2Step) Riemannian (Nil)Manifolds
Author(s):
Atefeh HasanZadeh and HamidReza Fanai
DFouman Faculty of Engineering,
College of Engineering, University of Tehran,
Iran.
Email: hasanzadeh.a@ut.ac.ir
Department of Mathematical Sciences,
Sharif University of Technology,
Iran
Email: fanai@sharif.edu
Abstract:
In this paper, basic notions of von Neumann algebra and its direct analogues in the realm of groupoids and measure spaces have been considered. By recovering the action of a locally compact Lie group from a crossed product of a von Neumann algebra, other proof of one of a geometric propositions of O'Neil and an extension of it has been proposed. Also, using the advanced exploration of nilmanifolds in measure spaces and their corresponding automorphisms (Lie algebraic derivations) a different proof of an analytic theorem of Gordon and Mao has been attained. These two propositions are of the most important ones for rigidity problems of Riemannian manifolds especially 2step nilmanifolds.
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:
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:
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 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:
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:
Reduced Generalized Combination Synchronization Between Two nDimensional IntegerOrder Hyperchaotic Systems and One mDimensional FractionalOrder Chaotic System
Author(s):
Smail Kaouache, Mohammed Salah Abdelouahab and Rabah Bououden
Laboratory of Mathematics and their
interactions,
Abdelhafid Boussouf University Center, Mila.
Algeria
Email: smailkaouache@gmail.com,
medsalah3@yahoo.fr,
rabouden@yahoo.fr
Abstract:
This paper is devoted to investigate the problem of reduced generalized combination synchronization (RGCS) between two ndimensional integerorder hyperchaotic drive systems and one mdimensional fractionalorder chaotic response system. According to the stability theorem of fractionalorder linear system, an active mode controller is proposed to accomplish this end. Moreover, the proposed synchronization scheme is applied to synchronize three different chaotic systems, which are the Danca hyperchaotic system, the modified hyperchaotic Rossler system, and the fractionalorder RabinovichFabrikant chaotic system. Finally, numerical results are presented to fit our theoretical analysis.
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:
Pointwise Convergence of Fouriertype Series with Exponential Weights
Author(s):
Hee Sun Jung and Ryozi Sakai
Department of Mathematics Education,
Sungkyunkwan University,
Seoul 110745,
Republic of Korea.
Email: hsun90@skku.edu
Department of Mathematics,
Meijo University, Nagoya 4688502,
Japan.
Email: ryozi@hm.aitai.ne.jp
Abstract:
Let R = (  ∞,∞), and let Q∈C^{1}(R):R→[0,∞) be an even function. We consider the exponential weights w(x)=e^{Q(x)}, x∈R. In this paper we obtain a pointwise convergence theorem for the Fouriertype series with respect to the orthonormal polynomials {p_{n}(w^{2};x)}.
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.
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