ORIGINAL_ARTICLE Solving integral equations of the third kind in the reproducing kernel space 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. http://bims.iranjournals.ir/article_213_31be77a7aad4602e56a94864ad5882f2.pdf 2012-09-15T11:23:20 2019-03-24T11:23:20 543 551 Analytical solution integral equations of the third kind reproducing kernel Fazhan Geng gengfazhan@sina.com true 1 Department of Mathematics, changshu Institute of Technology, Changshu, China. Department of Mathematics, changshu Institute of Technology, Changshu, China. Department of Mathematics, changshu Institute of Technology, Changshu, China. LEAD_AUTHOR
ORIGINAL_ARTICLE On generalized topologies arising from mappings 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. http://bims.iranjournals.ir/article_220_44f92411e606144e9eb9f38b332d54d1.pdf 2012-09-15T11:23:20 2019-03-24T11:23:20 553 565 Generalized topologies generalized neighborhood systems product of generalized topologies Vladimir Pavlovic vlada@pmf.ni.ac.rs true 1 University of Nis, Faculty of Sciences and Mathematics University of Nis, Faculty of Sciences and Mathematics University of Nis, Faculty of Sciences and Mathematics LEAD_AUTHOR Aleksandar Cvetkovi' c acvetkovic@mas.bg.ac.rs true 2 Department of Mathematics and Informatics, Faculty of Mechancial Engineering, University of Belgrade Department of Mathematics and Informatics, Faculty of Mechancial Engineering, University of Belgrade Department of Mathematics and Informatics, Faculty of Mechancial Engineering, University of Belgrade AUTHOR
ORIGINAL_ARTICLE G-frames and their duals for Hilbert C*-modules Abstract. Certain facts about frames and generalized frames (g- frames) are extended for the g-frames for Hilbert C*-modules. It is shown that g-frames 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 g-frames 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 g-frame. Finally, some characterizations of dual g-frames for Hilbert spaces and Hilbert C*-modules are given. http://bims.iranjournals.ir/article_206_9ada6846e5a0d425c990156f9766f580.pdf 2012-09-15T11:23:20 2019-03-24T11:23:20 567 580 dual g-frame g-Bessel sequence g-frame Hilbert C*-module Azadeh Alijani alijani@vru.ac.ir true 1 Ph.D student of Vali-e-Asr University Ph.D student of Vali-e-Asr University Ph.D student of Vali-e-Asr University AUTHOR Mohammad Ali Dehghan dehghan@vru.ac.ir true 2 Staff of Vali-e-Asr university Staff of Vali-e-Asr university Staff of Vali-e-Asr university LEAD_AUTHOR
ORIGINAL_ARTICLE The starlikeness, convexity, covering theorem and extreme points of p-harmonic mappings 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 $TH^*_{p}$. http://bims.iranjournals.ir/article_224_ef60efaae2872ad5d035ebe7683c92ed.pdf 2012-09-15T11:23:20 2019-03-24T11:23:20 581 596 $p$-harmonic mapping univalence starlikeness Convexity extreme point Qiuhong Luo luoqiuhong2004120314@126.com true 1 Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, People's Republic of China. Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, People's Republic of China. Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, People's Republic of China. AUTHOR Xiantao Wang wangxt1965@yahoo.com.cn true 2 Hunan Normal University of China Hunan Normal University of China Hunan Normal University of China LEAD_AUTHOR
ORIGINAL_ARTICLE Optimal inequalities for the power, harmonic and logarithmic means For 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 $H^{alpha}(a,b)L^{1-alpha}(a,b)leq M_{frac{1-4alpha}{3}}(a,b)$ 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. http://bims.iranjournals.ir/article_225_148114bdbc407891af23dda972ab8b96.pdf 2012-09-15T11:23:20 2019-03-24T11:23:20 597 606 Power mean logarithmic mean harmonic mean Yuming Chu chuyuming@hutc.zj.cn true 1 Huzhou Teachers College Huzhou Teachers College Huzhou Teachers College LEAD_AUTHOR Mingyu Shi mingyulj08@163.com true 2 Hebei University Hebei University Hebei University AUTHOR Yueping Jiang ypjiang731@163.com true 3 Hunan University Hunan University Hunan University AUTHOR
ORIGINAL_ARTICLE The existence results for a coupled system of nonlinear fractional differential equations with multi-point boundary conditions In this paper, we study a coupled system of nonlinear fractional diﬀerential equations with multi-point boundary condi- tions. The diﬀerential operator is taken in the Riemann-Liouville sense. Applying the Schauder ﬁxed-point 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^{(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. http://bims.iranjournals.ir/article_227_1cb83ef69ed98227526e88224cdc5a93.pdf 2012-09-15T11:23:20 2019-03-24T11:23:20 607 624 Fractional differential equations Boundary value problem Schauder fixed-point theorem Contraction mapping principle Yi Chen chenyimathcsu@163.com true 1 School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, P.R.China School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, P.R.China School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, P.R.China LEAD_AUTHOR Dezhu Chen cdz.2009@163.com true 2 School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, P.R.China School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, P.R.China School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, P.R.China AUTHOR Zhanmei Lv cy2008csu@163.com true 3 School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, P.R.China School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, P.R.China School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, P.R.China AUTHOR
ORIGINAL_ARTICLE 2-quasirecognizability of the simple groups B_n(p) and C_n(p) by prime graph 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. http://bims.iranjournals.ir/article_260_29bf80f6b23d834cbe7f14a4ad0701d5.pdf 2012-09-15T11:23:20 2019-03-24T11:23:20 647 668 Quasirecognition Prime graph simple group element order Mahnaz Foroudi Ghasemabadi mahnaz_mat@yahoo.com true 1 Tarbiat Modares University Tarbiat Modares University Tarbiat Modares University AUTHOR Ali Iranmanesh iranmana@yahoo.com true 2 Tarbiat Modares University Tarbiat Modares University Tarbiat Modares University LEAD_AUTHOR
ORIGINAL_ARTICLE \varphi-amenability of Banach algebras 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 $A^{**}$. http://bims.iranjournals.ir/article_237_2d7117eadedb5265aee5e2e415a2034f.pdf 2012-09-15T11:23:20 2019-03-24T11:23:20 725 738 Amenability Banach algebras $F$-algebra $varphi$-amenability $varphi$-mean Ali Ghaffari aghaffari@semnan.ac.ir true 1 Semnan University Semnan University Semnan University LEAD_AUTHOR Ahmad Alinejad alinejad34br@yahoo.com true 2 Semnan University Semnan University Semnan University AUTHOR
ORIGINAL_ARTICLE Improved infeasible-interior-point algorithm for linear complementarity problems We present a modified version of the infeasible-interior- We present a modified version of the infeasible-interior-point algorithm for monotone linear complementary problems introduced by Mansouri et al. (Nonlinear Anal. Real World Appl. 12(2011) 545--561). 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. http://bims.iranjournals.ir/article_241_161c4ab48ed9b2e646af66d31fcd932d.pdf 2012-09-15T11:23:20 2019-03-24T11:23:20 787 803 linear complementarity problems interior-point methods polynomial complexity full-Newton steps search directions Maryam Zangiabadi zangiabadi@sci.sku.ac.ir true 1 Dept. Appied Mathematics, Shahrekord University Dept. Appied Mathematics, Shahrekord University Dept. Appied Mathematics, Shahrekord University AUTHOR Hossein Mansouri mansouri@sci.sku.ac.ir true 2 Dept. Applied Mathematics, Shahrekord University Dept. Applied Mathematics, Shahrekord University Dept. Applied Mathematics, Shahrekord University LEAD_AUTHOR
ORIGINAL_ARTICLE Compact weighted Frobenius-Perron operators and their spectra In this note we characterize the compact weighted Frobenius-Perron operator $p$ on $L^1(Sigma)$ and determine their spectra. We also show that every weakly compact weighted Frobenius-Perron operator on $L^1(Sigma)$ is compact. http://bims.iranjournals.ir/article_243_8a0cae2a4c335660f929d5a7e98d80d4.pdf 2012-09-15T11:23:20 2019-03-24T11:23:20 817 826 Frobenius-perron operator weighted composition operator conditional expectation Mohammad Reza Jabbarzadeh mrjabbar11@yahoo.com true 1 faculty of mathematical sciences, university of tabriz faculty of mathematical sciences, university of tabriz faculty of mathematical sciences, university of tabriz LEAD_AUTHOR Hossain Emamalipour hemamali@yahoo.com true 2 faculty of mathematical sciences, university of tabriz, p. o. box: 51664 faculty of mathematical sciences, university of tabriz, p. o. box: 51664 faculty of mathematical sciences, university of tabriz, p. o. box: 51664 AUTHOR
ORIGINAL_ARTICLE Error bounds in approximating n-time differentiable functions of self-adjoint operators in Hilbert spaces via a Taylor's type expansion 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. http://bims.iranjournals.ir/article_245_73a8e6efb747727fb3f26520ccd854dd.pdf 2012-09-15T11:23:20 2019-03-24T11:23:20 827 842 Selfadjoint operators Functions of Selfadjoint operators Spectral representation Inequalities for selfadjoint operators Silvestru Dragomir sever.dragomir@vu.edu.au true 1 Mathematics, School of Engineering &amp; Science, Victoria University, PO Box 14428, Melbourne, Australia Mathematics, School of Engineering &amp; Science, Victoria University, PO Box 14428, Melbourne, Australia Mathematics, School of Engineering &amp; Science, Victoria University, PO Box 14428, Melbourne, Australia LEAD_AUTHOR