Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38320120915Solving integral equations of the third kind in the reproducing kernel space543551213ENFazhan GengDepartment of Mathematics, changshu Institute of Technology, Changshu, China.Journal Article20090410A 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.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38320120915On generalized topologies arising from
mappings553565220ENVladimir PavlovicUniversity of Nis, Faculty of Sciences and MathematicsAleksandar S.Cvetkovi' cDepartment of Mathematics and Informatics, Faculty of Mechancial Engineering, University
of BelgradeJournal Article20100731Given a mapping $f:Xto X$ we naturally associate to it a monotonic <br />map $gg_f:exp Xto exp X$ from the power set of $X$ into itself, <br />thus inducing a generalized topology on $X$. In this paper we <br />investigate some properties of generalized topologies which are <br />defined by such a procedure.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38320120915G-frames and their duals for Hilbert C*-modules567580206ENAzadeh AlijaniPh.D student of Vali-e-Asr UniversityMohammad Ali DehghanStaff of Vali-e-Asr universityJournal Article20090710Abstract. Certain facts about frames and generalized frames (g- <br />frames) are extended for the g-frames for Hilbert C*-modules. It is <br />shown that g-frames for Hilbert C*-modules share several useful <br />properties with those for Hilbert spaces. The paper also character- <br />izes the operators which preserve the class of g-frames for Hilbert <br />C*-modules. Moreover, a necessary and suffcient condition is ob- <br />tained for an operator T whose corresponding singleton set {T} to <br />be a g-frame. Finally, some characterizations of dual g-frames for <br />Hilbert spaces and Hilbert C*-modules are given.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38320120915The starlikeness, convexity, covering theorem and extreme points of p-harmonic mappings581596224ENQiuhong LuoDepartment of Mathematics,
Hunan Normal University, Changsha, Hunan 410081, People's Republic
of China.Xiantao WangHunan Normal University of ChinaJournal Article20110105The main <br />aim of this paper is to introduce three classes $H^0_{p,q}$, <br />$H^1_{p,q}$ and $TH^*_p$ of $p$-harmonic mappings and discuss the <br />properties of mappings in these classes. First, we discuss the <br />starlikeness and convexity of mappings in $H^0_{p,q}$ and <br />$H^1_{p,q}$. Then establish the covering theorem for mappings in <br />$H^1_{p,q}$. Finally, we determine the extreme points of the class <br />$TH^*_{p}$.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38320120915Optimal inequalities for the power, harmonic and logarithmic means597606225ENYuming ChuHuzhou Teachers CollegeMingyu ShiHebei UniversityYueping JiangHunan UniversityJournal Article20091016For all $a,b>0$, the following two optimal inequalities are presented: $H^{alpha}(a,b)L^{1-alpha}(a,b)geq M_{frac{1-4alpha}{3}}(a,b)$ for $alphain[frac{1}{4},1)$, and $ <br />H^{alpha}(a,b)L^{1-alpha}(a,b)leq M_{frac{1-4alpha}{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.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38320120915The existence results for a coupled system of nonlinear fractional differential equations with multi-point boundary conditions607624227ENYi ChenSchool of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, P.R.ChinaDezhu ChenSchool of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, P.R.ChinaZhanmei LvSchool of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, P.R.ChinaJournal Article20101025In this paper, we study a coupled system of nonlinear <br />fractional diﬀerential equations with multi-point boundary condi- <br />tions. The diﬀerential operator is taken in the Riemann-Liouville <br />sense. Applying the Schauder ﬁxed-point theorem and the contrac- <br />tion mapping principle, two existence results are obtained for the <br />following system <br />D^{alpha}_{0+}x(t)=fleft(t,y(t),D^{p}_{0+}y(t)right), t in (0,1), <br />D^{beta}_{0+}y(t)=gleft(t,x(t),D^{q}_{0+}x(t)right), t in (0,1), <br />x(0)=x'(0)=x''(0)=cdots=x^{(m-2)}(0)=0, x(1)=lambda x(xi) ,0y(0)=y',(0)=y''(0)=cdots=y^{(m-2)},(0)=0, y(1)=lambda y(xi) , 0where m in mathbb{N}, m geq 2,alpha,,beta in (m-1,m) and alpha,beta,p,q,lambda satisfy certain conditions.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38320120915Some results on weakly contractive maps625645229ENStojan Radenovi'cUniversity of Belgrade, Faculty of Mechanical EngineeringZoran KadelburgUniversity of Belgrade, Faculty of MathematicsDavorka Jandrli'cUniversity of Belgrade, Faculty of Mechanical EngineeringAndrija Jandrli'cUniversity of Belgrade, Faculty of Mechanical EngineeringJournal Article20110311In this paper direct proofs of some common fixed point results for <br />two and three mappings under weak contractive conditions are <br />given. Some of these results are improved by using different <br />arguments of control functions. Examples are presented showing <br />that some generalizations cannot be obtained and also that our <br />results are distinct from the existing ones.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X383201209152-quasirecognizability of the simple groups B_n(p) and C_n(p) by prime graph647668260ENMahnaz Foroudi GhasemabadiTarbiat Modares UniversityAli IranmaneshTarbiat Modares UniversityJournal Article20091007Let G be a finite group and let $GK(G)$ be the prime graph of G. We assume that $n$ is an <br /> <br />odd number. In this paper, we show that if $GK(G)=GK(B_n(p))$, where $ngeq 9$ and $pin <br /> <br />{3,5,7}$, then G has a unique nonabelian composition factor isomorphic to $B_n(p)$ or <br /> <br />$C_n(p)$ . As consequences of our result, $B_n(p)$ is quasirecognizable by its spectrum <br /> <br />and also by a new proof, the validity of a conjecture of W. J. Shi for $B_n(p)$ <br /> <br /> is obtained.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38320120915Identification of Riemannian foliations on the
tangent bundle via SODE structure669688232ENAbolghasem LalehAmirkabir University of TechnologyMorteza Mir Mohamad RezaiiAmirkabir University of TechnologyFateme AhangariAmirkabir University of TechnologyJournal Article20101226The geometry of a system of second order differential equations is the geometry of a semispray, which is a globally defined <br />vector field on TM. The metrizability of a given semispray is of special importance. In this paper, the metric associated with <br />the semispray S is applied in order to study some types of foliations on the tangent bundle which are compatible with SODE <br />structure. Indeed, sufficient conditions for the metric associated with the semispray S are obtained to extend to a bundle-like <br />metric for the lifted foliation on TM. Thus, the lifted foliation converts to a Riemanian foliation on the tangent space which <br />is adapted to the SODE structure. Particularly, the metrizability property of the semispray S is applied in order to induce <br />SODE structure on transversals. Finally, some equivalent conditions are presented for the transversals to be totally geodesic.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38320120915On Jordan left derivations and generalized Jordan left derivations of matrix rings689698234ENNader MohammadGhosseiriAcademic member of University of KurdistanJournal Article20100810Abstract. Let R be a 2-torsion free ring with identity. In this <br />paper, first we prove that any Jordan left derivation (hence, any left <br />derivation) on the full matrix ringMn(R) (n 2) is identically zero, <br />and any generalized left derivation on this ring is a right centralizer. <br />Next, we show that if R is also a prime ring and n 1, then any <br />Jordan left derivation on the ring Tn(R) of all n×n upper triangular <br />matrices over R is a left derivation, and any generalized Jordan left <br />derivation on Tn(R) is a generalized left derivation. Moreover, we <br />prove that any generalized left derivation on Tn(R) is decomposed <br />into the sum of a right centralizer and a Jordan left derivation. <br />Some related results are also obtained.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38320120915Convergence theorems of an implicit iteration process for asymptotically pseudocontractive mappings699713235ENLiping YangGuangdong University of TechnologyJournal Article20101114The 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.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38320120915Applying Buchberger's criteria on Montes's DisPGB algorithm715724236ENAmir HashemiIsfahan university of technologyMahdi Dehghani DarmianIsfahan University of TechnologyBenyamin M.-AlizadehIsfahan University of TechnologyJournal Article20100717The concept of comprehensive Grobner bases was introduced by <br />Weispfenning. Montes has proposed an efficient algorithm for computing <br />these bases. But he has not explicitly used Buchberger's <br />criteria in his algorithm. In this paper we prove that we can <br />apply these criteria on Montes algorithm. We propose a modified <br />version of Montes algorithm and evaluate its performance via some <br />examples.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38320120915varphi-amenability of Banach algebras725738237ENAli GhaffariSemnan UniversityAhmad AlinejadSemnan UniversityJournal Article20101106Let $A$ 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 <br /> 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 $A^{**}$.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38320120915The coefficients of differentiated expansions of double and triple Jacobi polynomials739765238ENEid DohaCairo University-Faculty of Science-Mathematics DepartmentWaleed MohammedAbd-ElhameedCairo University-Faculty of Science-Mathematics DepartmentHany AhmedHelwan University-Faculty of Science-Mathematics DepartmentJournal Article20101115Formulae expressing explicitly the coefficients of an expansion of double Jacobi polynomials <br />which has been partially differentiated an arbitrary number of times with respect <br />to its variables in terms of the coefficients of the original expansion are stated and proved. <br />Extension to expansion of triple Jacobi polynomials is given. The results for the special <br />cases of double and triple ultraspherical polynomials are considered. Also the results <br />for Chebyshev polynomials of the first, second, third and fourth kinds and of Legendre <br />polynomials are noted. An application of how to use double Jacobi polynomials for <br />solving Poisson’s equation in two variables subject to nonhomogeneous mixed boundary <br />conditions is described.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38320120915Superlinearly convergent exact penalty projected structured Hessian updating schemes for constrained nonlinear least squares: asymptotic analysis767786240ENN. Mahdavi-AmiriSharif University of TechnologynullMohammad Reza AnsariSharif University of TechnologyJournal Article20101103We present a structured algorithm for solving constrained nonlinear least squares problems, and establish its local two-step Q-superlinear convergence. The approach is based on an adaptive structured scheme due to Mahdavi-Amiri 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 quasi-Newton updates of projected Hessians. We discuss the comparative results of the testing of our programs and three nonlinear programming codes from KNITRO on <br />some randomly generated test problems due to Bartels and Mahdavi-Amiri. The results indeed confirm the practical significance of our special considerations for the inherent structure of the least squares.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38320120915Improved infeasible-interior-point algorithm for linear complementarity problems787803241ENMaryam ZangiabadiDept. Appied Mathematics,
Shahrekord UniversityHossein MansouriDept. Applied Mathematics, Shahrekord UniversityJournal Article20100629We present a modified version of the infeasible-interior- <br />We present a modified version of the infeasible-interior-point <br />algorithm for monotone linear complementary problems introduced by <br />Mansouri et al. (Nonlinear Anal. Real World Appl. <br /> 12(2011) 545--561). Each main step of the algorithm <br />consists of a feasibility step and several centering steps. We use a <br />different feasibility step, which targets at the $mu^+$-center. It <br />results a better iteration bound.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38320120915Metric and periodic lines in the Poincare ball model of hyperbolic geometry805815242ENOğuzhan DemirelAfyon Kocatepe University
Faculty of Science and Arts
ANS CampusEmine Soyturk SeyrantepeAfyon Kocatepe University
Faculty of Science and ArtsN. SonmezAfyon Kocatepe University Faculty of Science and ArtsJournal Article20090917In 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.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38320120915Compact weighted Frobenius-Perron operators and their spectra817826243ENMohammad Reza Jabbarzadehfaculty of mathematical sciences, university of tabrizHossain Emamalipourfaculty of mathematical sciences, university of tabriz, p. o. box: 51664Journal Article20100114In this note we characterize the compact weighted <br />Frobenius-Perron operator $p$ on $L^1(Sigma)$ and determine <br />their spectra. We also show that every weakly compact weighted <br />Frobenius-Perron operator on $L^1(Sigma)$ is compact.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38320120915Error bounds in approximating n-time differentiable functions of self-adjoint operators in Hilbert spaces via a Taylor's type expansion827842245ENSilvestru SeverDragomirMathematics, School of Engineering & Science, Victoria University, PO Box 14428,
Melbourne, AustraliaJournal Article20101122On utilizing the spectral representation of selfadjoint operators in Hilbert <br />spaces, some error bounds in approximating $n$-time differentiable functions <br />of selfadjoint operators in Hilbert Spaces via a Taylor's type expansion are <br />given.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38320120915Complete convergence of moving-average processes under negative
dependence sub-Gaussian assumptions843852247ENMohammad AminiFerdowsi University of MashhadHamid Reza Nili SaniUniversity of BirjandAbolghasem BozorgniaFerdowsi University of MashhadJournal Article20100301The complete convergence is investigated for moving-average processes of doubly infinite sequence of negative dependence sub-gaussian 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.