2012
38
3
3
310
Solving integral equations of the third kind in the reproducing kernel space
2
2
A reproducing kernel Hilbert space restricts the space of functions to smooth functions and has structure for function approximation and some aspects in learning theory. In this paper, the solution of an integral equation of the third kind is constructed analytically using a new method. The analytical solution is represented in the form of series in the reproducing kernel space. Some numerical examples are studied to demonstrate the accuracy of the present method. Results obtained by the method are compared with the exact solution of each example and are found to be in good agreement with each other.
3

543
551


Fazhan
Geng
Department of Mathematics, changshu Institute of Technology, Changshu, China.
Department of Mathematics, changshu Institute
China, R. O. C.
gengfazhan@sina.com
Analytical solution
integral equations of the third kind
reproducing kernel
On generalized topologies arising from
mappings
2
2
Given a mapping $f:Xto X$ we naturally associate to it a monotonic map $gg_f:exp Xto exp X$ from the power set of $X$ into itself, thus inducing a generalized topology on $X$. In this paper we investigate some properties of generalized topologies which are defined by such a procedure.
3

553
565


Vladimir
Pavlovic
University of Nis, Faculty of Sciences and Mathematics
University of Nis, Faculty of Sciences and
Serbia
vlada@pmf.ni.ac.rs


Aleksandar
Cvetkovi' c
Department of Mathematics and Informatics, Faculty of Mechancial Engineering, University
of Belgrade
Department of Mathematics and Informatics,
Serbia
acvetkovic@mas.bg.ac.rs
Generalized topologies
generalized neighborhood systems
product of generalized topologies
Gframes and their duals for Hilbert C*modules
2
2
Abstract. Certain facts about frames and generalized frames (g frames) are extended for the gframes for Hilbert C*modules. It is shown that gframes for Hilbert C*modules share several useful properties with those for Hilbert spaces. The paper also character izes the operators which preserve the class of gframes for Hilbert C*modules. Moreover, a necessary and suffcient condition is ob tained for an operator T whose corresponding singleton set {T} to be a gframe. Finally, some characterizations of dual gframes for Hilbert spaces and Hilbert C*modules are given.
3

567
580


Azadeh
Alijani
Ph.D student of ValieAsr University
Ph.D student of ValieAsr University
Iran
alijani@vru.ac.ir


Mohammad Ali
Dehghan
Staff of ValieAsr university
Staff of ValieAsr university
Iran
dehghan@vru.ac.ir
dual gframe
gBessel sequence
gframe
Hilbert C*module
The starlikeness, convexity, covering theorem and extreme points of pharmonic mappings
2
2
The main aim of this paper is to introduce three classes $H^0_{p,q}$, $H^1_{p,q}$ and $TH^*_p$ of $p$harmonic mappings and discuss the properties of mappings in these classes. First, we discuss the starlikeness and convexity of mappings in $H^0_{p,q}$ and $H^1_{p,q}$. Then establish the covering theorem for mappings in $H^1_{p,q}$. Finally, we determine the extreme points of the class $TH^*_{p}$.
3

581
596


Qiuhong
Luo
Department of Mathematics,
Hunan Normal University, Changsha, Hunan 410081, People's Republic
of China.
Department of Mathematics,
Hunan Normal University
China, R. O. C.
luoqiuhong2004120314@126.com


Xiantao
Wang
Hunan Normal University of China
Hunan Normal University of China
China, R. O. C.
wangxt1965@yahoo.com.cn
$p$harmonic mapping
univalence
starlikeness
Convexity
extreme point
Optimal inequalities for the power, harmonic and logarithmic means
2
2
For all $a,b>0$, the following two optimal inequalities are presented: $H^{alpha}(a,b)L^{1alpha}(a,b)geq M_{frac{14alpha}{3}}(a,b)$ for $alphain[frac{1}{4},1)$, and $ H^{alpha}(a,b)L^{1alpha}(a,b)leq M_{frac{14alpha}{3}}(a,b)$ for $alphain(0,frac{3sqrt{5}5}{40}]$. Here, $H(a,b)$, $L(a,b)$, and $M_p(a,b)$ denote the harmonic, logarithmic, and power means of order $p$ of two positive numbers $a$ and $b$, respectively.
3

597
606


Yuming
Chu
Huzhou Teachers College
Huzhou Teachers College
China, R. O. C.
chuyuming@hutc.zj.cn


Mingyu
Shi
Hebei University
Hebei University
China, R. O. C.
mingyulj08@163.com


Yueping
Jiang
Hunan University
Hunan University
China, R. O. C.
ypjiang731@163.com
Power mean
logarithmic mean
harmonic mean
The existence results for a coupled system of nonlinear fractional differential equations with multipoint boundary conditions
2
2
In this paper, we study a coupled system of nonlinear fractional diﬀerential equations with multipoint boundary condi tions. The diﬀerential operator is taken in the RiemannLiouville sense. Applying the Schauder ﬁxedpoint theorem and the contrac tion mapping principle, two existence results are obtained for the following system D^{alpha}_{0+}x(t)=fleft(t,y(t),D^{p}_{0+}y(t)right), t in (0,1), D^{beta}_{0+}y(t)=gleft(t,x(t),D^{q}_{0+}x(t)right), t in (0,1), x(0)=x'(0)=x''(0)=cdots=x^{(m2)}(0)=0, x(1)=lambda x(xi) ,0y(0)=y',(0)=y''(0)=cdots=y^{(m2)},(0)=0, y(1)=lambda y(xi) , 0where m in mathbb{N}, m geq 2,alpha,,beta in (m1,m) and alpha,beta,p,q,lambda satisfy certain conditions.
3

607
624


Yi
Chen
School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, P.R.China
School of Mathematical Sciences and Computing
China, R. O. C.
chenyimathcsu@163.com


Dezhu
Chen
School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, P.R.China
School of Mathematical Sciences and Computing
China, R. O. C.
cdz.2009@163.com


Zhanmei
Lv
School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, P.R.China
School of Mathematical Sciences and Computing
China, R. O. C.
cy2008csu@163.com
Fractional differential equations
Boundary value problem
Schauder fixedpoint theorem
Contraction mapping principle
Some results on weakly contractive maps
2
2
In this paper direct proofs of some common fixed point results for two and three mappings under weak contractive conditions are given. Some of these results are improved by using different arguments of control functions. Examples are presented showing that some generalizations cannot be obtained and also that our results are distinct from the existing ones.
3

625
645


Stojan
Radenovi'c
University of Belgrade, Faculty of Mechanical Engineering
University of Belgrade, Faculty of Mechanical
Serbia
radens@beotel.net


Zoran
Kadelburg
University of Belgrade, Faculty of Mathematics
University of Belgrade, Faculty of Mathematics
Serbia
kadelbur@matf.bg.ac.rs


Davorka
Jandrli'c
University of Belgrade, Faculty of Mechanical Engineering
University of Belgrade, Faculty of Mechanical
Serbia
djandrlic@mas.bg.ac.rs


Andrija
Jandrli'c
University of Belgrade, Faculty of Mechanical Engineering
University of Belgrade, Faculty of Mechanical
Serbia
ajandrlic@mas.bg.ac.rs
common fixed point
Generalized weak contraction
Generalized quasicontraction
coincidence point
2quasirecognizability of the simple groups B_n(p) and C_n(p) by prime graph
2
2
Let G be a finite group and let $GK(G)$ be the prime graph of G. We assume that $n$ is an odd number. In this paper, we show that if $GK(G)=GK(B_n(p))$, where $ngeq 9$ and $pin {3,5,7}$, then G has a unique nonabelian composition factor isomorphic to $B_n(p)$ or $C_n(p)$ . As consequences of our result, $B_n(p)$ is quasirecognizable by its spectrum and also by a new proof, the validity of a conjecture of W. J. Shi for $B_n(p)$ is obtained.
3

647
668


Mahnaz
Foroudi Ghasemabadi
Tarbiat Modares University
Tarbiat Modares University
Iran
mahnaz_mat@yahoo.com


Ali
Iranmanesh
Tarbiat Modares University
Tarbiat Modares University
Iran
iranmana@yahoo.com
Quasirecognition
Prime graph
simple group
element order
Identification of Riemannian foliations on the
tangent bundle via SODE structure
2
2
The geometry of a system of second order differential equations is the geometry of a semispray, which is a globally defined vector field on TM. The metrizability of a given semispray is of special importance. In this paper, the metric associated with the semispray S is applied in order to study some types of foliations on the tangent bundle which are compatible with SODE structure. Indeed, sufficient conditions for the metric associated with the semispray S are obtained to extend to a bundlelike metric for the lifted foliation on TM. Thus, the lifted foliation converts to a Riemanian foliation on the tangent space which is adapted to the SODE structure. Particularly, the metrizability property of the semispray S is applied in order to induce SODE structure on transversals. Finally, some equivalent conditions are presented for the transversals to be totally geodesic.
3

669
688


Abolghasem
Laleh
Amirkabir University of Technology
Amirkabir University of Technology
Iran
aglaleh@alzahra.ac.ir


Morteza
Mir Mohamad Rezaii
Amirkabir University of Technology
Amirkabir University of Technology
Iran
mmreza@aut.ac.ir


Fateme
Ahangari
Amirkabir University of Technology
Amirkabir University of Technology
Iran
fa.ahangari@aut.ac.ir
Bundlelike metric
SODE
Semispray
Metrizability
Riemannian Foliation
On Jordan left derivations and generalized Jordan left derivations of matrix rings
2
2
Abstract. Let R be a 2torsion free ring with identity. In this paper, first we prove that any Jordan left derivation (hence, any left derivation) on the full matrix ringMn(R) (n 2) is identically zero, and any generalized left derivation on this ring is a right centralizer. Next, we show that if R is also a prime ring and n 1, then any Jordan left derivation on the ring Tn(R) of all n×n upper triangular matrices over R is a left derivation, and any generalized Jordan left derivation on Tn(R) is a generalized left derivation. Moreover, we prove that any generalized left derivation on Tn(R) is decomposed into the sum of a right centralizer and a Jordan left derivation. Some related results are also obtained.
3

689
698


Nader
Ghosseiri
Academic member of University of Kurdistan
Academic member of University of Kurdistan
Iran
mnghosseiri@yahoo.com
Prime ring
left derivation
Jordan left derivation
generalized left derivation
generalized Jordan left derivation
Convergence theorems of an implicit iteration process for asymptotically pseudocontractive mappings
2
2
The purpose of this paper is to study the strong convergence of an implicit iteration process with errors to a common fixed point for a finite family of asymptotically pseudocontractive mappings and nonexpansive mappings in normed linear spaces. The results in this paper improve and extend the corresponding results of Xu and Ori, Zhou and Chang, Sun, Yang and Yu in some aspects.
3

699
713


Liping
Yang
Guangdong University of Technology
Guangdong University of Technology
China, R. O. C.
yanglping2003@126.com
implicit iteration process
Asymptotically pseudocontractive mappings
nonexpansive mappings
Normed linear spaces
fixed point
Applying Buchberger's criteria on Montes's DisPGB algorithm
2
2
The concept of comprehensive Grobner bases was introduced by Weispfenning. Montes has proposed an efficient algorithm for computing these bases. But he has not explicitly used Buchberger's criteria in his algorithm. In this paper we prove that we can apply these criteria on Montes algorithm. We propose a modified version of Montes algorithm and evaluate its performance via some examples.
3

715
724


Amir
Hashemi
Isfahan university of technology
Isfahan university of technology
Iran
amir.hashemi@cc.iut.ac.ir


Mahdi
Dehghani Darmian
Isfahan University of Technology
Isfahan University of Technology
Iran
mahdi_math_63@yahoo.com


Benyamin
M.Alizadeh
Isfahan University of Technology
Isfahan University of Technology
Iran
benyamin.m.alizadeh@gmail.com
Grobner bases
Comprehensive Grobner bases
DisPGB algorithm
varphiamenability of Banach algebras
2
2
Let $A$ be an arbitrary Banach algebra and $varphi$ a homomorphism from $A$ onto $Bbb C$. Our first purpose in this paper is to give some equivalent conditions under which guarantees a $varphi$mean of norm one. Then we find some conditions under which there exists a $varphi$mean in the weak$^*$ cluster of ${ain A; a=varphi(a)=1}$ in $A^{**}$.
3

725
738


Ali
Ghaffari
Semnan University
Semnan University
Iran
aghaffari@semnan.ac.ir


Ahmad
Alinejad
Semnan University
Semnan University
Iran
alinejad34br@yahoo.com
Amenability
Banach algebras
$F$algebra
$varphi$amenability
$varphi$mean
The coefficients of differentiated expansions of double and triple Jacobi polynomials
2
2
Formulae expressing explicitly the coefficients of an expansion of double Jacobi polynomials which has been partially differentiated an arbitrary number of times with respect to its variables in terms of the coefficients of the original expansion are stated and proved. Extension to expansion of triple Jacobi polynomials is given. The results for the special cases of double and triple ultraspherical polynomials are considered. Also the results for Chebyshev polynomials of the first, second, third and fourth kinds and of Legendre polynomials are noted. An application of how to use double Jacobi polynomials for solving Poisson’s equation in two variables subject to nonhomogeneous mixed boundary conditions is described.
3

739
765


Eid
Doha
Cairo UniversityFaculty of ScienceMathematics Department
Cairo UniversityFaculty of ScienceMathematics
Egypt
eiddoha@frcu.eun.eg


Waleed
AbdElhameed
Cairo UniversityFaculty of ScienceMathematics Department
Cairo UniversityFaculty of ScienceMathematics
Egypt
walee_9@yahoo.com


Hany
Ahmed
Helwan UniversityFaculty of ScienceMathematics Department
Helwan UniversityFaculty of ScienceMathematics
Egypt
hany_195@frcu.eun.eg
Jacobi polynomials
spectral methods
hypergeometric series, Poisson’s equation
Superlinearly convergent exact penalty projected structured Hessian updating schemes for constrained nonlinear least squares: asymptotic analysis
2
2
We present a structured algorithm for solving constrained nonlinear least squares problems, and establish its local twostep Qsuperlinear convergence. The approach is based on an adaptive structured scheme due to MahdaviAmiri and Bartels of the exact penalty method of Coleman and Conn for nonlinearly constrained optimization problems. The structured adaptation also makes use of the ideas of Nocedal and Overton for handling the quasiNewton updates of projected Hessians. We discuss the comparative results of the testing of our programs and three nonlinear programming codes from KNITRO on some randomly generated test problems due to Bartels and MahdaviAmiri. The results indeed confirm the practical significance of our special considerations for the inherent structure of the least squares.
3

767
786


N.
MahdaviAmiri
Sharif University of Technology
Sharif University of Technology
Iran
nezamm@sharif.edu


Mohammad Reza
Ansari
Sharif University of Technology
Sharif University of Technology
Iran
ansari.mr@gmail.com
Constrained nonlinear programming
exact penalty method
nonlinear least squares
projected structured Hessian update
Improved infeasibleinteriorpoint algorithm for linear complementarity problems
2
2
We present a modified version of the infeasibleinterior We present a modified version of the infeasibleinteriorpoint algorithm for monotone linear complementary problems introduced by Mansouri et al. (Nonlinear Anal. Real World Appl. 12(2011) 545561). Each main step of the algorithm consists of a feasibility step and several centering steps. We use a different feasibility step, which targets at the $mu^+$center. It results a better iteration bound.
3

787
803


Maryam
Zangiabadi
Dept. Appied Mathematics,
Shahrekord University
Dept. Appied Mathematics,
Shahrekord University
Iran
zangiabadi@sci.sku.ac.ir


Hossein
Mansouri
Dept. Applied Mathematics, Shahrekord University
Dept. Applied Mathematics, Shahrekord University
Iran
mansouri@sci.sku.ac.ir
linear complementarity problems
interiorpoint methods
polynomial complexity
fullNewton steps
search directions
Metric and periodic lines in the Poincare ball model of hyperbolic geometry
2
2
In this paper, we prove that every metric line in the Poincare ball model of hyperbolic geometry is exactly a classical line of itself. We also proved nonexistence of periodic lines in the Poincare ball model of hyperbolic geometry.
3

805
815


Oğuzhan
Demirel
Afyon Kocatepe University
Faculty of Science and Arts
ANS Campus
Afyon Kocatepe University
Faculty of Science
Turkey
odemirel@aku.edu.tr


Emine
Soyturk Seyrantepe
Afyon Kocatepe University
Faculty of Science and Arts
Afyon Kocatepe University
Faculty of Science
Turkey
soyturk@aku.edu.tr


N.
Sonmez
Afyon Kocatepe University Faculty of Science and Arts
Afyon Kocatepe University Faculty of Science
Turkey
nceylan@aku.edu.tr
Metric spaces
Poincare ball model
hyperbolic geometry
Compact weighted FrobeniusPerron operators and their spectra
2
2
In this note we characterize the compact weighted FrobeniusPerron operator $p$ on $L^1(Sigma)$ and determine their spectra. We also show that every weakly compact weighted FrobeniusPerron operator on $L^1(Sigma)$ is compact.
3

817
826


Mohammad Reza
Jabbarzadeh
faculty of mathematical sciences, university of tabriz
faculty of mathematical sciences, university
Iran
mrjabbar11@yahoo.com


Hossain
Emamalipour
faculty of mathematical sciences, university of tabriz, p. o. box: 51664
faculty of mathematical sciences, university
Iran
hemamali@yahoo.com
Frobeniusperron operator
weighted composition operator
conditional expectation
Error bounds in approximating ntime differentiable functions of selfadjoint operators in Hilbert spaces via a Taylor's type expansion
2
2
On utilizing the spectral representation of selfadjoint operators in Hilbert spaces, some error bounds in approximating $n$time differentiable functions of selfadjoint operators in Hilbert Spaces via a Taylor's type expansion are given.
3

827
842


Silvestru
Dragomir
Mathematics, School of Engineering & Science, Victoria University, PO Box 14428,
Melbourne, Australia
Mathematics, School of Engineering &
Australia
sever.dragomir@vu.edu.au
Selfadjoint operators
Functions of Selfadjoint operators
Spectral representation
Inequalities for selfadjoint operators
Complete convergence of movingaverage processes under negative
dependence subGaussian assumptions
2
2
The complete convergence is investigated for movingaverage processes of doubly infinite sequence of negative dependence subgaussian random variables with zero means, finite variances and absolutely summable coefficients. As a corollary, the rate of complete convergence is obtained under some suitable conditions on the coefficients.
3

843
852


Mohammad
Amini
Ferdowsi University of Mashhad
Ferdowsi University of Mashhad
Iran
mamini@um.ac.ir


Hamid Reza
Nili Sani
University of Birjand
University of Birjand
Iran
nilisani@yahoo.com


Abolghasem
Bozorgnia
Ferdowsi University of Mashhad
Ferdowsi University of Mashhad
Iran
bozorgnia@um.ac.ir
Movingaverage processes
Complete convergence
Negative dependence
subgaussian random variables