


Paper's Title:
L∞ Error Estimate of Schwarz Algorithm for Elliptic QuasiVariational Inequalities Related to Impulse Control Problem
Author(s):
Saadi Samira and Mehri Allaoua
Lab. LANOS, Department of Mathematics,
University Badji Mokhtar Annaba,
P.O.Box 12, Annaba 23000,
Algeria.
Lab. LAIG, Department of Mathematics,
University May 8th 1945,
P.O.Box 401, Guelma 24000,
Algeria.
Email:
saadisamira69@yahoo.fr
allmehri@yahoo.fr
Abstract:
In this work, we study Schwarz method for a class of elliptic quasivariational inequalities. The principal result of this investigation is to prove the error estimate in ∞norm for two domains with overlapping nonmatching grids, using the geometrical convergence, and the uniform convergence of Cortey Dumont.
Paper's Title:
Ostrowski Type Inequalities for Lebesgue Integral: a Survey of Recent Results
Author(s):
Sever S. Dragomir^{1,2}
^{1}Mathematics, School of Engineering
& Science
Victoria University, PO Box 14428
Melbourne City, MC 8001,
Australia
Email: sever.dragomir@vu.edu.au
^{2}DSTNRF Centre of Excellence in the Mathematical and Statistical Sciences,
School of Computer Science & Applied Mathematics,
University of the Witwatersrand,
Private Bag 3, Johannesburg 2050,
South Africa
URL:
http://rgmia.org/dragomir
Abstract:
The main aim of this survey is to present recent results concerning Ostrowski type inequalities for the Lebesgue integral of various classes of complex and realvalued functions. The survey is intended for use by both researchers in various fields of Classical and Modern Analysis and Mathematical Inequalities and their Applications, domains which have grown exponentially in the last decade, as well as by postgraduate students and scientists applying inequalities in their specific areas.
Paper's Title:
Inequalities Relating to the Gamma Function
Author(s):
ChaoPing Chen and Feng Qi
Department of Applied Mathematics and Informatics,
Research Institute of Applied Mathematics,
Henan Polytechnic University, Jiaozuo
City, Henan 454000, China
chenchaoping@hpu.edu.cn
Department of Applied Mathematics and Informatics,
Research Institute of Applied Mathematics,
Henan Polytechnic University, Jiaozuo
City, Henan 454000, China
qifeng@hpu.edu.cn,
fengqi618@member.ams.org
Url:
http://rgmia.vu.edu.au/qi.html,
http://dami.hpu.edu.cn/qifeng.html
Abstract:
For _{}, we have
_{ }.
For_{},
_{ },
And equality occurs for x=1.
Paper's Title:
On an Extension of Hilbert’s Integral Inequality with Some Parameters
Author(s):
Bicheng Yang
Department of
Mathematics, Guangdong Education College, Guangzhou, Guangdong 510303, People’s
Republic of China.
bcyang@pub.guangzhou.gd.cn
URL:
http://www1.gdei.edu.cn/yangbicheng/index.html
Abstract:
In this paper, by introducing some parameters and estimating the weight function, we give an extension of Hilbert’s integral inequality with a best constant factor. As applications, we consider the equivalent form and some particular results.
Paper's Title:
On Vector Variational Inequality Problem in Terms of Bifunctions
Author(s):
C. S. Lalitha and Monika Mehta
Department of Mathematics, Rajdhani College,
University of Delhi, Raja Garden,
Delhi 110015, India
cslalitha@rediffmail.com
Department of Mathematics, Satyawati College,
University Of Delhi, Ashok Vihar,
PhaseIII, Delhi 110052, India
mridul_in@yahoo.com
Abstract:
In this paper, we consider a generalized vector variational inequality problem expressed in terms of a bifunction and establish existence theorems for this problem by using the concepts of cone convexity and cone strong quasiconvexity and employing the celebrated Fan's Lemma. We also give two types of gap functions for this problem.
Paper's Title:
A Wallis Type Inequality and a Double Inequality for Probability Integral
Author(s):
Jian Cao, DaWei Niu and Feng Qi
School of Mathematics and Informatics,
Henan Polytechnic University, Jiaozuo City,
Henan Province, 454010,
China
21caojian@163.com
School of Mathematics and Informatics,
Henan Polytechnic University, Jiaozuo City,
Henan Province, 454010,
China
nnddww@tom.com
Research Institute of Mathematical Inequality Theory,
Henan Polytechnic University, Jiaozuo City,
Henan Province, 454010,
China
qifeng@hpu.edu.cn
fengqi618@member.ams.org
qifeng618@hotmail.com
qifeng618@msn.com
qifeng618@qq.com
URL: http://rgmia.vu.edu.au/qi.html
Abstract:
In this short note, a Wallis type inequality with the best upper and lower bounds is established. As an application, a double inequality for the probability integral is found.
Paper's Title:
Iterative Algorithm for Split Generalized Mixed Equilibrium Problem Involving Relaxed Monotone Mappings in Real Hilbert Spaces
Author(s):
^{1}U.A. Osisiogu, F.L. Adum, and ^{2}C. Izuchukwu
^{1}Department of Mathematics and
Computer Science,
Ebonyi State University, Abakaliki,
Nigeria.
Email: uosisiogu@gmail.com,
adumson2@yahoo.com
^{2}School of Mathematics,
Statistics and Computer Science,
University of KwaZuluNatal, Durban,
South Africa.
Email: izuchukwuc@ukzn.ac.za,
izuchukwu_c@yahoo.com
Abstract:
The main purpose of this paper is to introduce a certain class of split generalized mixed equilibrium problem involving relaxed monotone mappings. To solve our proposed problem, we introduce an iterative algorithm and obtain its strong convergence to a solution of the split generalized mixed equilibrium problems in Hilbert spaces. As special cases of the proposed problem, we studied the proximal split feasibility problem and variational inclusion problem.
Paper's Title:
On a Hilberttype Inequality with the Polygamma Function
Author(s):
Bing He and Bicheng Yang
Department of Mathematics, Guangdong Education College,
Guangzhou, 510303,
China.
Department of Mathematics, Guangdong Education College,
Guangzhou, 510303,
China.
Abstract:
By applying the method of weight function and the technique of real analysis, a Hilberttype inequality with a best constant factor is established, where the best constant factor is made of the polygamma function. Furthermore, the inverse form is given.
Paper's Title:
Stability of an Almost Surjective epsilonIsometry in The Dual of Real Banach Spaces
Author(s):
Minanur Rohman, Ratno Bagus Edy Wibowo, Marjono
Department of Mathematics, Faculty of
Mathematics and Natural Sciences,
Brawijaya University,
Jl. Veteran Malang 65145,
Indonesia.
Email:
miminanira@gmail.com
Department of Mathematics, Faculty of
Mathematics and Natural Sciences,
Brawijaya University,
Jl. Veteran Malang 65145,
Indonesia.
Email:
rbagus@ub.ac.id
Department of Mathematics, Faculty of
Mathematics and Natural Sciences,
Brawijaya University,
Jl. Veteran Malang 65145,
Indonesia.
Email:
marjono@ub.ac.id
Abstract:
In this paper, we study the stability of epsilonisometry in the dual of real Banach spaces. We prove that the almost surjective epsilonisometry mapping is stable in dual of each spaces. The proof uses Gâteaux differentiability space (GDS), weakstar exposed points, normattaining operator, and some studies about epsilonisometry that have been done before.
Paper's Title:
Logarithmically complete monotonicity properties for the gamma functions
Author(s):
ChaoPing Chen and Feng Qi
Department of Applied Mathematics and Informatics,
Research Institute of Applied Mathematics,
Henan Polytechnic University,
Jiaozuo City, Henan 454010,
China.
chenchaoping@hpu.edu.cn
Department of Applied Mathematics and Informatics,
Research Institute of Applied Mathematics,
Henan Polytechnic University,
Jiaozuo City, Henan 454010,
China.
qifeng@hpu.edu.cn
fengqi618@member.ams.org
Abstract:
Some logarithmically completely monotonic functions involving the gamma functions are presented. As a consequence, some known results are proved and refined.
Paper's Title:
Oscillations of First Order Linear Delay Difference Equations
Author(s):
G. E. Chatzarakis and I. P. Stavroulakis
Department of Mathematics, University of Ioannina,
451 10, Greece
ipstav@cc.uoi.gr
Abstract:
Consider the first order linear delay difference equation of the form _{} _{} where _{} is a sequence of nonnegative real numbers, k is a positive integer and _{} denotes the forward difference operator _{} New oscillation criteria are established when the wellknown oscillation conditions _{} and _{} are not satisfied. The results obtained essentially improve known results in the literature.
Paper's Title:
A note on Inequalities due to Martins, Bennett and Alzer
Author(s):
József Sándor
BabeşBolyai University of Cluj, Department of Mathematics and Computer Sciences
Kogălniceanu Nr.1, ClujNapoca,
Romania.
jjsandor@hotmail.com
jsandor@member.ams.org
Abstract:
A short history of certain inequalities by Martins, Bennett as well as Alzer, is provided. It is shown that, the inequality of Alzer for negative powers [6], or Martin's reverse inequality [7] are due in fact to Alzer [2]. Some related results, as well as a conjecture, are stated.
Paper's Title:
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:
Common Fixed Point Results for Banach Operator Pairs and Applications to Best Approximation
Author(s):
Hemant Kumar Nashine
Department of Mathematics,
Disha Institute of Management and Technology,
Satya Vihar, Vidhansabha  Chandrakhuri Marg (Baloda Bazar Road),
Mandir Hasaud,
Raipur  492101(Chhattisgarh), India.
hemantnashine@rediffmail.com
nashine_09@rediffmail.com
Abstract:
The common fixed point results for Banach operator pair with generalized nonexpansive mappings in qnormed space have been obtained in the present work. As application, some more general best approximation results have also been determined without the assumption of linearity or affinity of mappings. These results unify and generalize various existing known results with the aid of more general class of noncommuting mappings.
Paper's Title:
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 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:
The Invariant Subspace Problem for Linear Relations on Hilbert Spaces
Author(s):
Daniel GrixtiCheng
Department of Mathematics and Statistics,
The University of Melbourne,
Melbourne, VIC, 3010
Australia.
D.Grixti@ms.unimelb.edu.au
Abstract:
We consider the invariant subspace problem for linear relations on Hilbert spaces with the aim of promoting interest in the problem as viewed from the theory of linear relations. We present an equivalence between the single valued and multivalued invariant subspace problems and give some new theorems pertaining to the invariant subspace problem for linear relations on a Hilbert space.
Paper's Title:
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:
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:
Generalized Efficient Solutions to One Class of Vector Optimization Problems in Banach Space
Author(s):
Peter I. Kogut, Rosanna Manzo, and Igor V. Nechay
Department of Differential Equations,
Dnipropetrovsk National University,
Naukova str., 13,
49050 Dnipropetrovsk,
Ukraine
p.kogut@i.ua
Dipartimento di Ingegneria
Dell’informazione e Matematica Applicata,
Universitŕ di Salerno,
Via
Ponte
Don Melillo,
84084 Fisciano
(Sa),
Italy
manzo@diima.unisa.it
Department of Technical Cybernetics,
Dnipropetrovsk Technical University,
Acad. Lazarjan str., 2,
49010
Dnipropetrovsk,
Ukraine
i.nechay@i.ua
Abstract:
In this paper, we study vector optimization problems in Banach spaces for essentially nonlinear operator equations with additional control and state constraints. We assume that an objective mapping possesses a weakened property of lower semicontinuity and make no assumptions on the interior of the ordering cone. Using the penalization approach we derive both sufficient and necessary conditions for the existence of efficient solutions of the above problems. We also prove the existence of the socalled generalized efficient solutions via the scalarization of some penalized vector optimization problem.
Paper's Title:
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:
C*valued metric projection and MoorePenrose inverse on Hilbert C*modules
Author(s):
M. Eshaghi Gordji, H. Fathi and S.A.R. Hosseinioun
Department of Mathematics,
Semnan University, P.O. Box 35195363, Semnan,
Iran.
Center of Excellence in Nonlinear Analysis and Applications (CENAA),
Semnan University,
Iran.
Email: Madjid.Eshaghi@gmail.com
Department of Mathematics,
Shahid Beheshti University, Tehran,
Iran.
Email: Hedayat.fathi@yahoo.com
Department of Mathematical Sciences,
University of Arkansas, Fayetteville, Arkansas 72701,
USA.
Email: shossein@uark.net
Abstract:
Let t be a regular operator between Hilbert C^{*}modules and t^{†} be its MoorePenrose inverse. We give some characterizations for t^{†} based on C^{*}valued metric projection. MoorePenrose inverse of bounded operators and elements of a C^{*}algebra is studied as a special case.
Paper's Title:
Credibility Based Fuzzy Entropy Measure
Author(s):
G. Yari, M. Rahimi, B. Moomivand and P. Kumar
Department of Mathematics,
Iran University
of Science and Technology,
Tehran,
Iran.
Email:
Yari@iust.ac.ir
Email:
Mt_Rahimi@iust.ac.ir
URL:
http://www.iust.ac.ir/find.php?item=30.11101.20484.en
URL:
http://webpages.iust.ac.ir/mt_rahimi/en.html
Qarzolhasaneh
Mehr Iran Bank, Tehran,
Iran.
Email:
B.moomivand@qmb.ir
Department of Mathematics and Statistics,
University of Northern British Columbia,
Prince George, BC,
Canada.
Email:
Pranesh.Kumar@unbc.ca
Abstract:
Fuzzy entropy is the entropy of a fuzzy variable, loosely representing the information of uncertainty. This paper, first examines both previous membership and credibility based entropy measures in fuzzy environment, and then suggests an extended credibility based measure which satisfies mostly in Du Luca and Termini axioms. Furthermore, using credibility and the proposed measure, the relative entropy is defined to measure uncertainty between fuzzy numbers. Finally we provide some properties of this Credibility based fuzzy entropy measure and to clarify, give some examples.
Paper's Title:
Composite VariationalLike Inequalities Given By Weakly Relaxed ζSemiPseudomonotone MultiValued Mapping
Author(s):
Syed Shakaib Irfan, Iqbal Ahmad, Zubair Khan and Preeti Shukla
College of Engineering, Qassim University
Buraidah, AlQassim,
Saudi Arabia.
Email: shakaib@qec.edu.sa
College of Engineering, Qassim University
Buraidah, AlQassim,
Saudi Arabia.
Email: iqbal@qec.edu.sa
Department of Mathematics,
Integral University Lucknow,
India.
Email: zkhan@iul.ac.in
Department of Mathematics,
Integral University Lucknow,
India.
Email: shuklapreeti1991@gmail.com
Abstract:
In this article, we introduce a composite variationallike inequalities with weakly relaxed ζpseudomonotone multivalued maping in reflexive Banach spaces. We obtain existence of solutions to the composite variationallike inequalities with weakly relaxed ζpseudomon otone multivalued maps in reflexive Banach spaces by using KKM theorem. We have also checked the solvability of the composite variationallike inequalities with weakly relaxed ζsemipseudomonotone multivalued maps in arbitrary Banach spaces using KakutaniFanGlicksberg fixed point theorem.
Paper's Title:
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:
An alternative proof of monotonicity for the extended mean values
Author(s):
ChaoPing Chen and Feng Qi
Department of Applied Mathematics and Informatics,
Research Institute of Applied Mathematics,
Henan Polytechnic University, Jiaozuo
City, Henan 454000, China
chenchaoping@hpu.edu.cn
Department of Applied Mathematics and Informatics,
Research Institute of Applied Mathematics,
Henan Polytechnic University, Jiaozuo
City, Henan 454000, China
qifeng@hpu.edu.cn,
fengqi618@member.ams.org
Url:
http://rgmia.vu.edu.au/qi.html,
http://dami.hpu.edu.cn/qifeng.html
Abstract:
An alternative proof of monotonicity for the extended mean values is given.
Paper's Title:
Two Mappings Related to Steffensen's Inequalities
Author(s):
LiangCheng Wang
School of Mathematical Science,
Chongqing Institute of Technology,
Xingsheng Lu 4,
Yangjiaping 400050, Chongqing City,
China.
wangliangcheng@163.com
Abstract:
In this paper, we define two mappings closely connected with Steffensen's inequalities, investigate their main properties, give some refinements for Steffensen's inequalities and obtain new inequalities.
Paper's Title:
A New HardyHilbert's Type Inequality for Double Series and its Applications
Author(s):
Mingzhe Gao
Department of Mathematics and Computer Science, Normal College Jishou University,
Jishou Hunan, 416000,
People's Republic of China
mingzhegao1940@yahoo.com.cn
Abstract:
In this paper, it is shown that a new HardyHilbert’s type inequality for double series can be established by introducing a parameter _{ }and the weight function of the form _{} where c is Euler constant and And the coefficient is proved to be the best possible. And as the mathematics aesthetics, several important constants _{ }and _{} appear simultaneously in the coefficient and the weight function when _{} In particular, for case _{} some new Hilbert’s type inequalities are obtained. As applications, some extensions of HardyLittlewood’s inequality are given.
Paper's Title:
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 the Generalized Inverse _{ } over Integral Domains
Author(s):
Yaoming Yu and Guorong Wang
College of Education, Shanghai Normal University
Shanghai 200234
People's Republic of China.
yuyaoming@online.sh.cn
grwang@shnu.edu.cn
Abstract:
In this paper, we study further the generalized inverse _{ } of a matrix A over an integral domain. We give firstly some necessary and sufficient conditions for the existence of the generalized inverse _{ }, an explicit expression for the elements of the generalized inverse _{ } and an explicit expression for the generalized inverse _{ }, which reduces to the {1} inverse. Secondly, we verify that the group inverse, the Drazin inverse, the MoorePenrose inverse and the weighted MoorePenrose inverse are identical with the generalized inverse _{ } for an appropriate matrix G, respectively, and then we unify the conditions for the existence and the expression for the elements of the weighted MoorePenrose inverse, the MoorePenrose inverse, the Drazin inverse and the group inverse over an integral domain. Thirdly, as a simple application, we give the relation between some rank equation and the existence of the generalized inverse _{ }, and a method to compute the generalized inverse _{ }. Finally, we give an example of evaluating the elements of _{ } without calculating _{ }.
Paper's Title:
Two Classes of Completely Monotonic Functions Involving Gamma and Polygamma Functions
Author(s):
BaiNi Guo, XiaoAi Li and Feng Qi
School of Mathematics and Informatics,
Henan Polytechnic University,
Jiaozuo City, Henan Province, 454010,
China.
bai.ni.guo@gmail.com
College of Mathematics and Information Science,
Henan Normal University, Xinxiang City,
Henan Province, 453007,
China.
lxa.hnsd@163.com
Research Institute of Mathematical Inequality Theory,
Henan Polytechnic University, Jiaozuo City,
Henan Province, 454010,
China
qifeng618@gmail.com
qifeng618@hotmail.com
qifeng618@qq.com
URLhttp://rgmia.vu.edu.au/qi.html
Abstract:
The function
is logarithmically completely monotonic in (0,∞) if and only if c≥1
and its reciprocal is logarithmically completely monotonic in (0,∞) if and only if
c≤0. The function
is completely monotonic in (0,∞) if and only if c≥1 and its
negative is completely monotonic in (0,∞) if and only if c≤0.
Paper's Title:
A Double Inequality for Divided Differences and Some Identities of the Psi and Polygamma Functions
Author(s):
B. N. Guo and F. Qi
School of
Mathematics and Informatics, Henan Polytechnic University, Jiaozuo City, Henan
Province, 454010, China
bai.ni.guo@gmail.com,
bai.ni.guo@hotmail.com
School of
Research Institute of Mathematical Inequality Theory, Henan Polytechnic University, Jiaozuo City, Henan Province, 454010, China
qifeng618@gmail.com,
qifeng618@hotmail.com,
qifeng618@qq.com
URL:http://qifeng618.spaces.live.com
Abstract:
In this short note, from the logarithmically completely monotonic property of the function ^{ }, a double inequality for the divided differences and some identities of the psi and polygamma functions are presented.
Paper's Title:
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:
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:
Existence of Positive Solutions for Nonlinear Fractional Differential Equations with Multipoint Boundary Conditions
Author(s):
N. Adjeroud
Khenchela University, Department of
Mathematics,
Khenchela, 40000,
Algeria.
Email: adjnac@gmail.com
Abstract:
This paper is devoted to the existence results of positive solutions for a nonlinear fractional differential equations with multipoint boundary conditions. By means of the Schauder fixed point theorem, some results on the existence are obtained.
Paper's Title:
Local Boundedness of Weak Solutions for Singular Parabolic Systems of pLaplacian Type
Author(s):
Corina Karim, Marjono
Department of Mathematics,
Universitas Brawijaya,
Indonesia.
Email: co_mathub@ub.ac.id,
marjono@ub.ac.id
Abstract:
We study the local boundedness of weak solutions for evolutional pLaplacian systems in the singular case. The initial data is belonging to Lebesgue space L^{∞} (0,T;W^{(1,p)} (Ω,R^{n} )). We use intrinsic scaling method to treat the boundedness of weak solutions. The main result is to make the local boundedness of weak solution for the systems wellworked in the intrinsic scaling.
Paper's Title:
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:
A Low Order LeastSquares Nonconforming Finite Element Method for Steady Magnetohydrodynamic Equations
Author(s):
Z. Yu, D. Shi and H. Zhu
College of Science,
Zhongyuan
University of Technology,
Zhengzhou 450007,
China.
Email:
5772@zut.edu.cn
School of Mathematics and Statistics,
Zhengzhou University,
Zhengzhou 450001,
China.
Email:
shi_dy@126.com
Mathematics Department,
University of Southern Mississippi,
Hattiesburg MS, 39406,
U.S.A
Email:
huiqing.zhu@usm.edu
Abstract:
A low order leastsquares nonconforming finite element (NFE) method is proposed for magnetohydrodynamic equations with EQ_{1}^{rot} element and zeroorder RaviartThomas element. Based on the above element's typical interpolations properties, the existence and uniqueness of the approximate solutions are proved and the optimal order error estimates for the corresponding variables are derived.
Paper's Title:
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:
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:
Fractional exp(φ(ξ)) Expansion Method and its Application to SpaceTime Nonlinear Fractional Equations
Author(s):
A. A. Moussa and L. A. Alhakim
Department of Management Information
System and Production Management,
College of Business and Economics, Qassim University,
P.O. BOX 6666, Buraidah: 51452,
Saudi Arabia.
Email: Alaamath81@gmail.com
URL:
https://scholar.google.com/citations?user=ccztZdsAAAAJ&hl=ar
Department of Management Information
System and Production Management,
College of Business and Economics, Qassim University,
P.O. BOX 6666, Buraidah: 51452,
Saudi Arabia.
Email: Lama2736@gmail.com
URL:
https://scholar.google.com/citations?user=OSiSh1AAAAAJ&hl=ar
Abstract:
In this paper, we mainly suggest a new method that depends on the fractional derivative proposed by Katugampola for solving nonlinear fractional partial differential equations. Using this method, we obtained numerous useful and surprising solutions for the spacetime fractional nonlinear WhithamBroerKaup equations and spacetime fractional generalized nonlinear HirotaSatsuma coupled KdV equations. The solutions obtained varied between hyperbolic, trigonometric, and rational functions, and we hope those interested in the reallife applications of the previous two equations will find this approach useful.
Paper's Title:
Inequalities of Gamma Function Appearing in Generalizing Probability Sampling Design
Author(s):
Mohammadkheer M. AlJararha And Jehad M. AlJararha
Department of Mathematics,
Yarmouk University,
Irbid 21163,
Jordan.
Email: mohammad.ja@yu.edu.jo
Department of Statistics,
Yarmouk University,
Irbid 21163,
Jordan.
Email: jehad@yu.edu.jo
Abstract:
In this paper, we investigate the complete monotonicity of some functions involving gamma function. Using the monotonic properties of these functions, we derived some inequalities involving gamma and beta functions. Such inequalities can be used to generalize different probability distribution functions. Also, they can be used to generalize some statistical designs, e.g., the probability proportional to the size without replacement design.
Paper's Title:
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:
Monotonicity Properties for Generalized Logarithmic Means
Author(s):
ChaoPing Chen and Feng Qi
Department of Applied Mathematics and Informatics,
Research Institute of Applied Mathematics,
Henan Polytechnic University, Jiaozuo
City, Henan 454000, China
chenchaoping@hpu.edu.cn
Department of Applied Mathematics and Informatics,
Research Institute of Applied Mathematics,
Henan Polytechnic University, Jiaozuo
City, Henan 454000, China
qifeng@hpu.edu.cn,
fengqi618@member.ams.org
Url:
http://rgmia.vu.edu.au/qi.html,
http://dami.hpu.edu.cn/qifeng.html
Abstract:
In this paper, we consider the monotonicity properties for ratio of two generalized logarithmic means, and then use it to extend and complement a recently published result of F. Qi and B.N. Guo.
Paper's Title:
Reverse of Martin's Inequality
Author(s):
ChaoPing Chen, Feng Qi, and Sever S. Dragomir
Department of Applied Mathematics and Informatics,
Research Institute of Applied
Mathematics,
Henan Polytechnic University,
Jiaozuo City, Henan 454010, China
chenchaoping@sohu.com;
chenchaoping@hpu.edu.cn
Department of Applied Mathematics and Informatics,
Research Institute of Applied
Mathematics,
Henan Polytechnic University,
Jiaozuo City, Henan 454010, China
qifeng@hpu.edu.cn
Url: http://rgmia.vu.edu.au/qi.html
School of Computer Science and Mathematics,
Victoria University of Technology,
P. O. Box 14428, Melbourne City Mc,
Victoria 8001, Australia
Sever.Dragomir@vu.edu.au
Url: http://rgmia.vu.edu.au/SSDragomirWeb.html
Abstract:
In this paper, it is proved that
_{ }for all natural numbers n, and all real r < 0.
Paper's Title:
On the Hohov Convolution Of The Class S_{p}(α,β)
Author(s):
T. N. Shanmugam and S. Sivasubramanian
Department of Mathematics,
Anna University,
Chennai 600025,
Tamilnadu, India.
shan@annauniv.edu
Department of Mathematics,
Easwari Engineering College,
Chennai600089,
Tamilnadu, India,
sivasaisastha@rediffmail.com
Abstract:
Let F(a,b;c;z) be the Gaussian hypergeometric function and I_{a,b;c}(f)=zF(a,b;c;z)*f(z) be the Hohlov operator defined on the class A of all normalized analytic functions. We determine conditions on the parameters a,b,c such that I_{a,b;c}(f) will be in the class of parabolic starlike functions S_{p}(α,β). Our results extend several earlier results.
Paper's Title:
Positive Periodic TimeScale Solutions for Functional Dynamic Equations
Author(s):
Douglas R. Anderson and Joan Hoffacker
Department of Mathematics and Computer Science
Concordia College
Moorhead, MN 56562 USA
andersod@cord.edu
URL: http://www.cord.edu/faculty/andersod/
Department of Mathematical Sciences
Clemson University
Clemson, SC 29634 USA
johoff@clemson.edu
URL: http://www.math.clemson.edu/facstaff/johoff.htm
Abstract:
Using Krasnoselskii's fixed point theorem, we establish the existence of positive periodic solutions to two pairs of related nonautonomous functional delta dynamic equations on periodic time scales, and then extend the discussion to higherdimensional equations. Two pairs of corresponding nabla equations are also provided in an analogous manner.
Paper's Title:
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:
Uniqueness of Meromorphic Functions that Share Three Values
Author(s):
Abhijit Banerjee
Department of Mathematics
Kalyani Government Engineering College
West Bengal 741235
India.
abanerjee_kal@yahoo.co.in
abanerjee@mail15.com
abanerjee_kal@rediffmail.com
Abstract:
In the paper dealing with the uniqueness problem of meromorphic functions we prove five theorems one of which will improve a result given by Lahiri \cite{5} and the remaining will supplement some previous results.
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:
A Strengthened HardyHilbert's Type Inequality
Author(s):
Weihong Wang and Bicheng Yang
Department of Mathematics, Guangdong Education Institute,
Guangzhou, Guangdong 520303,
People's Republic Of China
wwh@gdei.edu.cn
bcyang@pub.guangzhou.gd.cn
URL: http://www1.gdei.edu.cn/yangbicheng/index.html
Abstract:
By using the improved EulerMaclaurin's summation formula and estimating the weight coefficient, we give a new strengthened version of the more accurate HardyHilbert's type inequality. As applications, a strengthened version of the equivalent form is considered.
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 Positive Entire Solutions of Second Order Quasilinear Elliptic Equations
Author(s):
Zuodong Yang and Honghui Yin
Institute of Mathematics, School of Mathematics and Computer Science,
Nanjing Normal University, Jiangsu Nanjing 210097,
China;
zdyang_jin@263.net
Department of Mathematics, Huaiyin Teachers College,
Jiangsu Huaian 223001,
China;
School of Mathematics and Computer Sciences,
Nanjing Normal University, Jiangsu Nanjing 210097,
China.
yin_hh@sina.com
Abstract:
In this paper, our main purpose is to establish the existence theorem of positive entire solutions of second order quasilinear elliptic equations under new conditions. The main results of the present paper are new and extend the previously known results.
Paper's Title:
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:
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:
A Nonlinear Proximal Alternating Directions Method for Structured Variational Inequalities
Author(s):
M. Li
Department of Management Science and Engineering, School of Economics and Management
Southeast University, Nanjing, 210096,
China.
liminnju@yahoo.com
Abstract:
In this paper, we present a nonlinear proximal alternating directions method (NPADM) for solving a class of structured variational inequalities (SVI). By choosing suitable Bregman functions, we generalize the proximal alternating directions method proposed by He, et al.. The convergence of the method is proved under quite mild assumptions and flexible parameter conditions.
Paper's Title:
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:
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 a Class of Uniformly Convex Functions Defined by Convolution with Fixed Coefficient
Author(s):
T. N. Shanmugam, S. Sivasubramanian, and G. Murugusundaramoorthy
Department of Mathematics,
College of Engineering,
Anna University,
Chennai  600 025,
India.
drtns2001@yahoo.com
Department of Mathematics,
University College of Engineering,
Tindivanam
Anna UniversityChennai,
Saram604 703,
India.
sivasaisastha@rediffmail.com
School of Sciences and Humanities,
VIT University, Vellore632 014,
India.
gmsmoorthy@yahoo.com
Abstract:
We define a new subclass of uniformly convex functions with negative and fixed second coefficients defined by convolution. The main object of this paper is to obtain coefficient estimates distortion bounds, closure theorems and extreme points for functions belong to this new class . The results are generalized to families with fixed finitely many coefficients.
Paper's Title:
Two Remarks on Commutators of Hardy Operator
Author(s):
Yasuo KomoriFuruya
School of High Technology for Human Welfare
Tokai University
317 Nishino Numazu, Shizuoka 4100395 Japan
komori@wing.ncc.utokai.ac.jp
Abstract:
Fu and Lu showed that
the commutator of multiplication operator by b and
the ndimensional Hardy operator
is bounded on L^{p} if b is in some CMO space.
We shall prove the converse of this theorem
and also prove that their result is optimal by giving a counterexample
Paper's Title:
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:
Solving Fractional Transport Equation via Walsh Function
Author(s):
A. Kadem
L. M. F. N., Mathematics Department,
University of Setif,
Algeria
abdelouahak@yahoo.fr
Abstract:
In this paper we give a complete proof of A method for the solution of fractional transport equation in threedimensional case by using Walsh function is presented. The main characteristic of this technique is that it reduces these problems to those of solving a system of algebraic equations, thus greatly simplifying the problem.
Paper's Title:
On Generalization of Hardytype Inequalities
Author(s):
K. Rauf, S. Ponnusamy and J. O. Omolehin
Department of Mathematics,
University of Ilorin, Ilorin,
Nigeria
krauf@unilorin.edu.ng
Department of Mathematics,
Indian Institute of Technology Madras,
Chennai 600 036,
India
samy@iitm.ac.in
Department of Mathematics,
University of Ilorin, Ilorin,
Nigeria
omolehin_joseph@yahoo.com
Abstract:
This paper is devoted to some new generalization of Hardytype integral inequalities and the reversed forms. The study is to determine conditions on which the generalized inequalities hold using some known hypothesis. Improvement of some inequalities are also presented.
Paper's Title:
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:
Sufficient Conditions for Certain Types of Functions to be Parabolic Starlike
Author(s):
A. Gangadharan and S. Chinthamani
Department of Mathematics,
Easwari Engineering College,
Ramapuram, Chennai  89,
India.
Research Scholar,
Anna University,
Chennai
Email: ganga.megalai@gmail.com
Email: chinvicky@rediffmail.com
Abstract:
In this paper sufficient conditions are determined for functions of the form and certain other types of functions to be parabolic starlike.
Paper's Title:
Some properties of quasinormal, paranormal and 2k^{*} paranormal operators
Author(s):
Shqipe Lohaj
Department of Mathematics,
University of Prishtina,
10000,
Kosova.
Email: shqipe.lohaj@unipr.edu
Abstract:
In the beginning of this paper some conditions under which an operator is partial isometry are given. Further, the class of 2k^{*} paranormal operators is defined and some properties of this class in Hilbert space are shown. It has been proved that an unitarily operator equivalent with an operator of a 2k^{*} paranormal operator is a 2k^{*} paranormal operator, and if is a 2k^{*} paranormal operator, that commutes with an isometric operator, then their product also is a $2k^*$ paranormal operator.
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:
Coefficient Estimates for Certain Subclasses of Biunivalent Sakaguchi Type Functions by using Faber Polynomial
Author(s):
P. Murugabharathi, B. Srutha Keerthi
Mathematics Division,
School of Advanced Sciences,
VIT Chennai, Vandaloor, Kelambakkam Road,
Chennai  600 127, India.
Email: bharathi.muhi@gmail.com
Email: sruthilaya06@yahoo.co.in
Abstract:
In this work, considering a general subclass of biunivalent Sakaguchi type functions, we determine estimates for the general TaylorMaclaurin coefficients of the functions in these classes. For this purpose, we use the Faber polynomial expansions. In certain cases, our estimates improve some of those existing coefficient bounds.
Paper's Title:
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:
Introducing the Dorfmanian: A Powerful Tool for the Calculus Of Variations
Author(s):
Olivier de La Grandville
Department of Management Science and Engineering,
Stanford University,
475 Via Ortega, Stanford, CA 94305,
U. S. A.
Email: odelagrandville@gmail.com
Abstract:
We show how a modified Hamiltonian proposed by Robert Dorfman [1] to give intuitive sense
to the Pontryagin maximum principle can be extended to easily obtain all
highorder equations of the calculus of variations. This new concept is
particularly efficient to determine the differential equations leading to
the extremals of functionals defined by nuple integrals, while a
traditional approach would require  in some cases repeatedly  an
extension of Green's theorem to nspace.
Our paper is dedicated to the memory of Robert Dorfman (1916  2002).
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:
Cubic Alternating Harmonic Number Sums
Author(s):
Anthony Sofo
Victoria University,
College of Engineering and Science,
Melbourne City,
Australia.
Email:
Anthony.Sofo@vu.edu.au
Abstract:
We develop new closed form representations of sums of cubic alternating harmonic numbers and reciprocal binomial coefficients. We also identify a new integral representation for the ζ (4) constant.
Paper's Title:
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:
An Efficient Modification of Differential Transform Method for Solving Integral and Integrodifferential Equations
Author(s):
S. AlAhmad, Ibrahim Mohammed Sulaiman^{*}, and M. Mamat
Faculty of Informatics and Computing,
Universiti Sultan Zainal Abidin,
Terengganu, Besut Campus, 22200,
Malaysia.
Email: Alahmad.shadi@yahoo.com,
^{*}sulaimanib@unisza.edu.my,
must@unisza.edu.my
Abstract:
In this paper, classes of integral and integrodifferential equations are solved using a modified differential transform method. This proposed technique is based on differential transform method (DTM), Laplace transform (LT) procedure and Pad\'{e} approximants (PA). The proposed method which gives a good approximation for the true solution in a large region is referred to modified differential transform method (MDTM). An algorithm was developed to illustrate the flow of the proposed method. Some numerical problems are presented to check the applicability of the proposed scheme and the obtained results from the computations are compared with other existing methods to illustrates its efficiency. Numerical results have shown that the proposed MDTM method is promising compared to other existing methods for solving integral and integrodifferential equations.
Paper's Title:
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:
Some Properties on a Class of pvalent Functions Involving Generalized Differential Operator
Author(s):
A. T. Yousef, Z. Salleh and T. AlHawary
Department of Mathematics,
Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia
Terengganu,
21030 Kuala Nerus, Terengganu,
Malaysia.
Email: abduljabaryousef@gmail.com,
zabidin@umt.edu.my
Department of Applied Science,
Ajloun College, AlBalqa Applied University,
Ajloun 26816,
Jordan.
Email: tariq_amh@yahoo.com
Abstract:
This paper aiming to introduce a new differential operator in the open unit disc We then, introduce a new subclass of analytic function Moreover, we discuss coefficient estimates, growth and distortion theorems, and inclusion properties for the functions belonging to the class
Paper's Title:
Algorithms for Nonlinear Problems Involving Strictly Pseudocontractive Mappings
Author(s):
Mathew Olajiire Aibinu^{1}, Surendra Colin Thakur^{2}, Sibusiso Moyo^{3}
^{1}Institute for Systems Science
& KZN ESkill CoLab,
Durban University of Technology,
Durban 4000,
South Africa.
^{1}DSINRF
Centre of Excellence in Mathematical and Statistical Sciences (CoEMaSS),
Johannesburg,
South Africa.
Email: moaibinu@yahoo.com
mathewa@dut.ac.za
^{2} KZN ESkill CoLab,
Durban University of Technology,
Durban 4000,
South Africa.
Email: thakur@dut.ac.za
^{3}Institute for Systems Science & Office of the DVC Research,
Innovation & Engagement Milena Court,
Durban University of Technology,
Durban 4000,
South Africa.
Email: dvcrie@dut.ac.za
Abstract:
The puzzles in approximating a fixed point of nonlinear problems involving the class of strictly pseudocontractive mappings are conquered in this paper through viscosity implicit rules. Using generalized contraction mappings, a new viscosity iterative algorithm which is implicit in nature is proposed and analysed in Banach spaces for the class of strictly pseudocontractive mappings. The computations and analysis which are used in the proposed scheme are easy to follow and this gives rooms for a broad application of the scheme. It is obtained that the proposed iterative algorithm converges strongly to a fixed point of a μstrictly pseudocontractive mapping which also solves a variational inequality problem. The result is also shown to hold for finite family of strictly pseudocontractive mappings. A numerical example is given to show the skillfulness of the proposed scheme and its implementation.
Paper's Title:
Multistage Analytical Approximate Solution of QuasiLinear Differential Algebraic System of Index Two
Author(s):
Ibrahim M. Albak, F. A. Abdullah^{*} and Zarita Zainuddin
School of Mathematical Sciences,
Universiti Sains Malaysia,
11800 USM, Penang,
Malaysia.
Email: ibra13975@gmail.com,
farahaini@usm.my,
zarita@usm.my
Abstract:
In this paper, a new Multistage Transform Method (MSDTM) has been proposed by utilizing a wellknown transformation technique, the Differential Transform Method (DTM), to solve Differential Algebraic Equations (DAEs) with index 2. The advantage of the proposed scheme is that it does not require an index reduction and extends the convergence domain of the solution. Some examples for various types of problems are carried out to show the ability of MSDTM in solving DAEs. The results obtained are in good agreement with the existing literature which demonstrates the effectiveness and efficiency of the proposed method.
Paper's Title:
New Reverses of Schwarz, Triangle and Bessel Inequalities in Inner Product Spaces
Author(s):
S. S. Dragomir
School of Computer Science and Mathematics, Victoria
University of Technology, PO BOX
14428, MCMC 8001, VICTORIA, AUSTRALIA.
sever.dragomir@vu.edu.au
URL:
http://rgmia.vu.edu.au/SSDragomirWeb.html
Abstract:
New reverses of the Schwarz, triangle and Bessel inequalities in inner product spaces are pointed out. These results complement the recent ones obtained by the author in the earlier paper [13]. Further, they are employed to establish new Grüss type inequalities. Finally, some natural integral inequalities are stated as well.
Paper's Title:
On Sufficient Conditions for Strong Starlikeness
Author(s):
V. Ravichandran, M. H. Khan, M. Darus, And K. G. Subramanian
School of Mathematical Sciences, Universiti Sains Malaysia,
11800 Usm Penang, Malaysia
vravi@cs.usm.my
Url: http://cs.usm.my/~vravi/index.html
Department of Mathematics, Islamiah College, Vaniambadi 635 751, India
khanhussaff@yahoo.co.in
School of Mathematical Sciences, Faculty of Science and Technology, UKM, Bangi
43600,
Malaysia
maslina@pkrisc.cc.ukm.my
Url:
http://www.webspawner.com/users/maslinadarus
Department of Mathematics, Madras Christian College, Tambaram, Chennai 600 059,
India
kgsmani@vsnl.net
Abstract:
In the present investigation, we obtain some sufficient conditions for a normalized analytic function f(z) defined on the unit disk to satisfy the condition
Paper's Title:
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:
Viability
Theory And Differential Lanchester Type Models For Combat.
Differential Systems.
Author(s):
G. Isac and A. Gosselin
Department Of
Mathematics, Royal Military College Of Canada,
P.O. Box 17000, Stn Forces, Kingston,
Ontario, Canada K7k 7b4
isacg@rmc.ca
gosselina@rmc.ca
URL:
http://www.rmc.ca/academic/math_cs/isac/index_e.html
URL:
http://www.rmc.ca/academic/math_cs/gosselin/index_e.html
Abstract:
In 1914, F.W. Lanchester proposed several mathematical models based on differential equations to describe combat situations [34]. Since then, his work has been extensively modified to represent a variety of competitions including entire wars. Differential Lanchester type models have been studied from many angles by many authors in hundreds of papers and reports. Lanchester type models are used in the planning of optimal strategies, supply and tactics. In this paper, we will show how these models can be studied from a viability theory stand point. We will introduce the notion of winning cone and show that it is a viable cone for these models. In the last part of our paper we will use the viability theory of differential equations to study Lanchester type models from the optimal theory point of view.
Paper's Title:
On Certain Classes of Harmonic Univalent Functions Based on Salagean Operator
Author(s):
G. Murugusundaramoorthy, Thomas Rosy, and B. A. Stephen
Department of Applied Mathematics and Informatics,
Department of Mathematics, Vellore Institute of Technology,
Deemed University, Vellore  632014, India.
gmsmoorthy@yahoo.com
Department of Applied Mathematics and Informatics,
Department of Mathematics, Madras Christian College,
Chennai  600059, India.
drthomasrosy@rediffmail.com
Abstract:
We define and investigate a class of complexvalued harmonic univalent functions of the form f = h + g using Salagean operator where h and g are analytic in the unit disc U = { z : z < 1 }. A necessary and sufficient coefficient conditions are given for functions in these classes. Furthermore, distortion theorems, inclusion relations, extreme points, convolution conditions and convex combinations for this family of harmonic functions are obtained.
Paper's Title:
A Simple New Proof of FanTausskyTodd Inequalities
Author(s):
ZhiHua Zhang and ZhenGang Xiao
Zixing Educational Research Section,
Chenzhou City, Hunan 423400, P. R. China.
Zhihua Zhang
Url: http://www.hnzxslzx.com/zzhweb/
Department Of Mathematics, Hunan Institute Of Science And Technology,
Yueyang City, Hunan 423400, P. R. China.
Zhengang Xiao
Abstract:
In this paper we present simple new proofs of the inequalities:
_{ }
which holds for all real numbers a_{0} = 0, a_{1}, · · · , a_{n}, a_{n+1} = 0 and the coefficients 2(1  cos(π/(n + 1))) and 2(1 + cos(π/(n + 1))) are the best possible; and
_{ }
which holds for all real numbers a_{0} = 0, a_{1}, · · · , a_{n} and the coefficients 2(1cos(π/(2n + 1))) and 2(1 + cos(π/(2n + 1))) are the best possible.
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:
Refinement Inequalities Among Symmetric Divergence Measures
Author(s):
Inder Jeet Taneja
Departamento de Matemática,
Universidade Federal de Santa Catarina, 88.040900
Florianópolis, Sc, Brazil
taneja@mtm.ufsc.br
URL: http://www.mtm.ufsc.br/~taneja
Abstract:
There are three classical divergence measures in the literature on information theory and statistics, namely, JeffryesKullbackLeiber’s Jdivergence, SibsonBurbeaRao’s Jensen Shannon divegernce and Taneja’s arithemtic  geometric mean divergence. These bear an interesting relationship among each other and are based on logarithmic expressions. The divergence measures like Hellinger discrimination, symmetric χ^{2}−divergence, and triangular discrimination are not based on logarithmic expressions. These six divergence measures are symmetric with respect to probability distributions. In this paper some interesting inequalities among these symmetric divergence measures are studied. Refinements of these inequalities are also given. Some inequalities due to Dragomir et al. [6] are also improved.
Paper's Title:
Boundedness for VectorValued Multilinear Singular Integral Operators on TriebelLizorkin Spaces
Author(s):
Liu Lanzhe
College of Mathematics
Changsha University of Science and Technology,
Changsha 410077,
P.R. of China.
lanzheliu@263.net
Abstract:
In this paper, the boundedness for some vectorvalued multilinear operators associated to certain fractional singular integral operators on TriebelLizorkin space are obtained. The operators include CalderónZygmund singular integral operator and fractional integral operator.
Paper's Title:
On Zeros of Diagonally Quasiconvex Multifunctions
Author(s):
Zoran D. Mitrović
Faculty of Electrical Engineering,
University of Banja Luka,
78000 Banja Luka, Patre 5
Bosnia and Herzegovina
zmitrovic@etfbl.net
Abstract:
In this paper, we extended the notion of diagonally quasiconvexity for multifunctions and established several existence results for zeros of diagonally quasiconvex multifunctions. As applications we obtain the results of fixed points, coincidence points and best approximations for multifunctions. Using our result we also prove the existence of solutions to the variationallike inequality problem and generalized vector equilibrium problem. The results of this paper generalize some known results in the literature.
Paper's Title:
Iterated Order of Fast Growth Solutions of Linear Differential Equations
Author(s):
Benharrat Belaďdi
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:
A Coincidence Theorem for Two Kakutani Maps
Author(s):
Mircea Balaj
Department of Mathematics,
University of Oradea,
410087, Oradea,
Romania.
mbalaj@uoradea.ro
Abstract:
In this paper we prove the following theorem: Let X be a nonempty compact convex set in a locally convex Hausdorff topological vector space, D be the set of its extremal points and F,T: X―◦X two Kakutani maps; if for each nonempty finite subset A of D and for any x ∈ coA, F (x) ∩ coA ≠ Ř, then F and T have a coincidence point. The proof of this theorem is given first in the case when X is a simplex, then when X is a polytope and finally in the general case. Several reformulations of this result are given in the last part of the paper.
Paper's Title:
Topological Aspects of Scalarization in Vector Optimization Problems.
Author(s):
Peter I. Kogut, Rosanna Manzo and Igor V. Nechay
Department of Differential Equations,
Dnipropetrovsk National University, Naukova
STR.,
13,
49010 Dnipropetrovsk,
Ukraine
p.kogut@i.ua
Universitŕ di Salerno,
Dipartimento di Ingegneria dell'Informazione e Matematica Applicata,
Via Ponte don Melillo, 84084 Fisciano (SA),
Italy
manzo@diima.unisa.it
Department of Technical Cybernetics,
Dnipropetrovsk Technical University,
Acad. Lazarjan
STR., 2,
49010 Dnipropetrovsk,
Ukraine
i.nechay@i.ua
Abstract:
In this paper, we study vector optimization problems in partially ordered Banach spaces. We suppose that the objective mapping possesses a weakened property of lower semicontinuity and make no assumptions on the interior of the ordering cone. We derive sufficient conditions for existence of efficient solutions of the above problems and discuss the role of topological properties of the objective space. We discuss the scalarization of vector optimization problems when the objective functions are vectorvalued mappings with a weakened property of lower semicontinuity. We also prove the existence of the socalled generalized efficient solutions via the scalarization process. All principal notions and assertions are illustrated by numerous examples.
Paper's Title:
On an Elliptic OverDetermined Problem in Dimension Two
Author(s):
Lakhdar Ragoub
Department of Mathematics and Information of Tiyadhechnology
AL Yamamah University
P.O. Box 45 180, Riyadh 11 512
Saudi Arabia.
Abstract:
We extend the method of Weinberger for a
nonlinear overdetermined elliptic problem
in R^{2}.
We prove that the domain in consideration is a ball. The
tool of this investigation are maximum principles and Pfunctions.
Paper's Title:
Existence Results for Second Order Impulsive Functional Differential Equations with Infinite Delay
Author(s):
M. Lakrib, A. Oumansour and K. Yadi
Laboratoire de Mathématiques, Université Djillali
Liabées, B.P. 89 Sidi Bel Abbčs 22000, Algérie
mlakrib@univsba.dz
oumansour@univsba.dz
Laboratoire de Mathématiques, Université Abou Bekr
Belkaid, B.P. 119 Tlemcen 13000, Algérie
k_yadi@mail.univtlemcen.dz
Abstract:
In this paper we study the existence of solutions for second order impulsive functional differential equations with infinite delay. To obtain our results, we apply fixed point methods.
Paper's Title:
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:
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:
Some Properties of the MarshallOlkin and Generalized CuadrasAugé Families of Copulas
Author(s):
Edward Dobrowolski and Pranesh Kumar
Department of Mathematics and Statistics
University of Northern British Columbia
Prince George, BC,
Canada, V2N 4Z9
Email: Pranesh.Kumar@unbc.ca
Abstract:
We investigate some properties of the families of two parameter MarshallOlkin and Generalized CuadrasAugé copulas. Some new results are proved for copula parameters, dependence measure and mutual information. A numerical application is discussed.
Paper's Title:
On the Sendov Conjecture for a Root Close to the Unit Circle
Author(s):
Indraneel G. Kasmalkar
Department of Mathematics,
University of California,
Berkeley, CA 94720
United States of America
Email: indraneelk@berkeley.edu
Abstract:
On Sendov's conjecture, T. Chijiwa quantifies the idea stated by V. Vâjâitu and A. Zaharescu (and M. J. Miller independently), namely that if a polynomial with all roots inside the closed unit disk has a root sufficiently close to the unit circle then there is a critical point at a distance of at most one from that root. Chijiwa provides an estimate of exponential order for the required 'closeness' of the root to the unit circle so that such a critical point may exist. In this paper, we will improve this estimate to polynomial order by making major modifications and strengthening inequalities in Chijiwa's proof.
Paper's Title:
HermiteHadamardFejer Type Inequalities for Harmonically sconvex Functions via Fractional Integrals
Author(s):
İmdat İşcan, Mehmet Kunt
Department of Mathematics,
Faculty of Sciences and Arts,
Giresun University, Giresun,
Turkey.
Email: imdat.iscan@giresun.edu.tr
Department of Mathematics,
Faculty of Sciences,
Karadeniz Technical University,
61080, Trabzon,
Turkey.
Email:
mkunt@ktu.edu.tr
Abstract:
In this paper, some HermiteHadamardFejer type integral inequalities for harmonically sconvex functions in fractional integral forms have been obtained.
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:
New Refinements of Hölder's Inequality
Author(s):
XiuFen Ma
College of Mathematical and Computer,
Chongqing Normal University Foreign Trade and Business College,
No.9 of Xuefu Road, Hechuan District 401520,
Chongqing City,
The People's Republic of China.
Email: maxiufen86@163.com
Abstract:
In this paper, we define two mappings, investigate their properties, obtain some new refinements of Hölder's inequality.
Paper's Title:
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:
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:
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:
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:
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:
A Generalization of Ostrowski's Inequality for Functions of Bounded Variation via a Parameter
Author(s):
Seth Kermausuor
Department of Mathematics and Computer
Science,
Alabama State University,
Montgomery, AL 36101,
USA.
Email:
skermausour@alasu.edu
Abstract:
In this paper, we provide a generalization of the Ostrowski's inequality for functions of bounded variation for k points via a parameter λ∈[0,1]. As a by product, we consider some particular cases to obtained some interesting inequalities in these directions. Our results generalizes some of the results by Dragomir in [S. S. DRAGOMIR, The Ostrowski inequality for mappings of bounded variation, Bull. Austral. Math. Soc., 60 (1999), pp. 495508.]
Paper's Title:
Some New Mappings Related to Weighted Mean Inequalities
Author(s):
XiuFen Ma
College of Mathematical and Computer,
Chongqing Normal University Foreign Trade and Business College,
No.9 of Xuefu Road, Hechuan District 401520,
Chongqing City,
The People's Republic of China.
Email: maxiufen86@163.com
Abstract:
In this paper, we define four mappings related to weighted mean inequalities, investigate their properties, and obtain some new refinements of weighted mean inequalities.
Paper's Title:
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:
A Selfadaptive Subgradient Extragradient Algorithm for Variational Inequality Problems and Fixed Point Problems in Banach Spaces
Author(s):
F. U. Ogbuisi
School of Mathematics, Statistics and
Computer Science,
University of KwaZuluNatal, Durban,
South Africa.
Department of Mathematics,
University of Nigeria, Nsukka,
Nigeria.
Email: ferdinard.ogbuisi@unn.edu.ng
fudochukwu@yahoo.com
Abstract:
In this paper, we propose and analyze a type of subgradient extragradient algorithm for the approximation of a solution of variational inequality problem which is also a common fixed point of an infinite family of relatively nonexpansive mappings in 2uniformly convex Banach spaces which are uniformly smooth. By using the generalized projection operator, we prove a strong convergence theorem which does not require the prior knowledge of the Lipschitz constant of cost operator. We further applied our result to constrained convex minimization problem, convex feasibility problem and infinite family of equilibrium problems. Our results improve and complement related results in 2uniformly convex and uniformly smooth Banach spaces and Hilbert spaces.
Paper's Title:
Optimal Control Analysis of HIV/AIDS Epidemic Model with an Antiretroviral Treatment
Author(s):
U. Habibah and R. A. Sari
Mathematics Department and Reseach Group
of Biomathematics,
Faculty of Mathematics and Natural Science,
Brawijaya University, Jl. Veteran Malang 65145,
Indonesia.
Email: ummu_habibah@ub.ac.id
Abstract:
A mathematical model of HIV/AIDS is governed by a system of ordinary differential equations in the presence of an antiretroviral treatment (ARV). The theory of optimal control is applied to an epidemic model of HIV/AIDS which an ARV is used as a control strategy in order to prevent the spread of HIV/AIDS. The optimality system is derived by applying the Pontryagin's Minimum Principle. We analyze the boundedness and positivity of solutions, and an existence of the optimal control. Numerical simulations are conducted to obtain numerical solution of the optimally system.
Paper's Title:
Estimates of Norms on Krein Spaces
Author(s):
Satheesh K. Athira, P. Sam Johnson and K. Kamaraj
Department of Mathematical and Computational Sciences,
National Institute of Technology Karnataka,
Surathkal, Mangaluru 575 025,
India.
Email: athirachandri@gmail.com
Department of Mathematical and
Computational Sciences,
National Institute of Technology Karnataka,
Surathkal, Mangaluru 575 025,
India.
Email:sam@nitk.edu.in
Department of Mathematics,
University College of Engineering Arni,
Anna University, Arni 632 326,
India.
Email: krajkj@yahoo.com
Abstract:
Various norms can be defined on a Krein space by choosing different underlying fundamental decompositions. Some estimates of norms on Krein spaces are discussed and a few results in Bognar's paper are generalized.
Paper's Title:
Existence and Approximation of Traveling Wavefronts for the Diffusive MackeyGlass Equation
Author(s):
C. RamirezCarrasco and J. MolinaGaray
Facultad de Ciencias Basicas,
Universidad Catolica del Maule, Talca,
Chile
Email: carloshrc1989@gmail.com
molina@imca.edu.pe
Abstract:
In this paper, we consider the diffusive MackeyGlass model with discrete delay. This equation describes the dynamics of the blood cell production. We investigate the existence of traveling wavefronts solutions connecting the two steady states of the model. We develop an alternative proof of the existence of such solutions and we also demonstrate the existence of traveling wavefronts moving at minimum speed. The proposed approach is based on the use technique of upperlower solutions. Finally, through an iterative procedure, we show numerical simulations that approximate the traveling wavefronts, thus confirming our theoretical results.
Paper's Title:
A Note on Schur's Lemma in Banach Function Spaces
Author(s):
R. E. Castillo, H. Rafeiro and E. M. Rojas
Universidad Nacional de Colombia,
Departamento de Matematicas, Bogota,
Colombia.
Email: recastillo@unal.edu.co
United Arab Emirates University,
Department of Mathematical Sciences, Al Ain,
United Arab Emirates.
Email: rafeiro@uaeu.ac.ae
Universidad Nacional de Colombia,
Departamento de Matematicas, Bogota,
Colombia.
Email: emrojass@unal.edu.co
Abstract:
In this small note, in a self contained presentation, we show the validity of Schur's type lemma in the framework of Banach function spaces.
Paper's Title:
Locally Bicomplex Convex Module and Their Applications
Author(s):
Stanzin Kunga and Aditi Sharma
Department of Mathematics,
University of Jammu,
Jammu And Kashmir,
India.
Email: stanzinkunga19@gmail.com
Department of Mathematics,
University of Jammu,
Jammu And Kashmir,
India.
Email: aditi.sharmaro@gmail.com
Abstract:
Let X be a locally BC convex module and L(X) be the family of all continuous bicomplex linear operators on X. In this paper, we study some concepts of Dvalued seminorms on locally BC convex module. Further, we study the bicomplex version of C_{o} and (C_{o},1) semigroup. The work of this paper is inspired by the work in [2] and [6].
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