eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-09-15
38
3
543
551
213
Solving integral equations of the third kind in the reproducing kernel space
Fazhan Geng
gengfazhan@sina.com
1
Department of Mathematics, changshu Institute of Technology, Changshu, China.
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
Analytical solution
integral equations of the third kind
reproducing kernel
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-09-15
38
3
553
565
220
On generalized topologies arising from
mappings
Vladimir Pavlovic
vlada@pmf.ni.ac.rs
1
Aleksandar Cvetkovi' c
acvetkovic@mas.bg.ac.rs
2
University of Nis, Faculty of Sciences and Mathematics
Department of Mathematics and Informatics, Faculty of Mechancial Engineering, University
of Belgrade
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
Generalized topologies
generalized neighborhood systems
product of generalized topologies
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-09-15
38
3
567
580
206
G-frames and their duals for Hilbert C*-modules
Azadeh Alijani
alijani@vru.ac.ir
1
Mohammad Ali Dehghan
dehghan@vru.ac.ir
2
Ph.D student of Vali-e-Asr University
Staff of Vali-e-Asr university
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
dual g-frame
g-Bessel sequence
g-frame
Hilbert C*-module
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-09-15
38
3
581
596
224
The starlikeness, convexity, covering theorem and extreme points of p-harmonic mappings
Qiuhong Luo
luoqiuhong2004120314@126.com
1
Xiantao Wang
wangxt1965@yahoo.com.cn
2
Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, People's Republic of China.
Hunan Normal University of China
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
$p$-harmonic mapping
univalence
starlikeness
Convexity
extreme point
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-09-15
38
3
597
606
225
Optimal inequalities for the power, harmonic and logarithmic means
Yuming Chu
chuyuming@hutc.zj.cn
1
Mingyu Shi
mingyulj08@163.com
2
Yueping Jiang
ypjiang731@163.com
3
Huzhou Teachers College
Hebei University
Hunan University
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
Power mean
logarithmic mean
harmonic mean
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-09-15
38
3
607
624
227
The existence results for a coupled system of nonlinear fractional differential equations with multi-point boundary conditions
Yi Chen
chenyimathcsu@163.com
1
Dezhu Chen
cdz.2009@163.com
2
Zhanmei Lv
cy2008csu@163.com
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
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
Fractional differential equations
Boundary value problem
Schauder fixed-point theorem
Contraction mapping principle
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-09-15
38
3
625
645
229
Some results on weakly contractive maps
Stojan Radenovi'c
radens@beotel.net
1
Zoran Kadelburg
kadelbur@matf.bg.ac.rs
2
Davorka Jandrli'c
djandrlic@mas.bg.ac.rs
3
Andrija Jandrli'c
ajandrlic@mas.bg.ac.rs
4
University of Belgrade, Faculty of Mechanical Engineering
University of Belgrade, Faculty of Mathematics
University of Belgrade, Faculty of Mechanical Engineering
University of Belgrade, Faculty of Mechanical Engineering
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.
http://bims.iranjournals.ir/article_229_7b26b9bcf68af2ce39f7be6598566fe7.pdf
common fixed point
Generalized weak contraction
Generalized quasicontraction
coincidence point
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-09-15
38
3
647
668
260
2-quasirecognizability of the simple groups B_n(p) and C_n(p) by prime graph
Mahnaz Foroudi Ghasemabadi
mahnaz_mat@yahoo.com
1
Ali Iranmanesh
iranmana@yahoo.com
2
Tarbiat Modares University
Tarbiat Modares University
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
Quasirecognition
Prime graph
simple group
element order
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-09-15
38
3
669
688
232
Identification of Riemannian foliations on the
tangent bundle via SODE structure
Abolghasem Laleh
aglaleh@alzahra.ac.ir
1
Morteza Mir Mohamad Rezaii
mmreza@aut.ac.ir
2
Fateme Ahangari
fa.ahangari@aut.ac.ir
3
Amirkabir University of Technology
Amirkabir University of Technology
Amirkabir University of Technology
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 bundle-like 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.
http://bims.iranjournals.ir/article_232_1c2426a4a61dca0c1d59277a7d46f0c0.pdf
Bundle-like metric
SODE
Semispray
Metrizability
Riemannian
Foliation
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-09-15
38
3
689
698
234
On Jordan left derivations and generalized Jordan left derivations of matrix rings
Nader Ghosseiri
mnghosseiri@yahoo.com
1
Academic member of University of Kurdistan
Abstract. Let R be a 2-torsion 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.
http://bims.iranjournals.ir/article_234_895b2b8aa0bd6657b0ab13d745aec4c5.pdf
Prime ring
left derivation
Jordan left derivation
generalized left derivation
generalized Jordan left derivation
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-09-15
38
3
699
713
235
Convergence theorems of an implicit iteration process for asymptotically pseudocontractive mappings
Liping Yang
yanglping2003@126.com
1
Guangdong University of Technology
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.
http://bims.iranjournals.ir/article_235_69b9f07c099fb6347d20b877bf0c58f5.pdf
implicit iteration process
Asymptotically pseudocontractive mappings
nonexpansive mappings
Normed linear spaces
fixed point
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-09-15
38
3
715
724
236
Applying Buchberger's criteria on Montes's DisPGB algorithm
Amir Hashemi
amir.hashemi@cc.iut.ac.ir
1
Mahdi Dehghani Darmian
mahdi_math_63@yahoo.com
2
Benyamin M.-Alizadeh
benyamin.m.alizadeh@gmail.com
3
Isfahan university of technology
Isfahan University of Technology
Isfahan University of Technology
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.
http://bims.iranjournals.ir/article_236_ca40dd8662a34869eb72d1e96231c32d.pdf
Grobner bases
Comprehensive Grobner bases
DisPGB algorithm
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-09-15
38
3
725
738
237
varphi-amenability of Banach algebras
Ali Ghaffari
aghaffari@semnan.ac.ir
1
Ahmad Alinejad
alinejad34br@yahoo.com
2
Semnan University
Semnan University
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
Amenability
Banach algebras
$F$-algebra
$varphi$-amenability
$varphi$-mean
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-09-15
38
3
739
765
238
The coefficients of differentiated expansions of double and triple Jacobi polynomials
Eid Doha
eiddoha@frcu.eun.eg
1
Waleed Abd-Elhameed
walee_9@yahoo.com
2
Hany Ahmed
hany_195@frcu.eun.eg
3
Cairo University-Faculty of Science-Mathematics Department
Cairo University-Faculty of Science-Mathematics Department
Helwan University-Faculty of Science-Mathematics Department
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.
http://bims.iranjournals.ir/article_238_bf9ba54f7aca429e3d30f958160c42bc.pdf
Jacobi polynomials
spectral methods
hypergeometric series, Poisson’s
equation
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-09-15
38
3
767
786
240
Superlinearly convergent exact penalty projected structured Hessian updating schemes for constrained nonlinear least squares: asymptotic analysis
N. Mahdavi-Amiri
nezamm@sharif.edu
1
Mohammad Reza Ansari
ansari.mr@gmail.com
2
Sharif University of Technology
Sharif University of Technology
We 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 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.
http://bims.iranjournals.ir/article_240_962ced196e74eb319a889a7deb02eb7c.pdf
Constrained nonlinear programming
exact penalty method
nonlinear least squares
projected structured Hessian update
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-09-15
38
3
787
803
241
Improved infeasible-interior-point algorithm for linear complementarity problems
Maryam Zangiabadi
zangiabadi@sci.sku.ac.ir
1
Hossein Mansouri
mansouri@sci.sku.ac.ir
2
Dept. Appied Mathematics,
Shahrekord University
Dept. Applied Mathematics, Shahrekord University
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
linear complementarity problems
interior-point methods
polynomial complexity
full-Newton steps
search directions
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-09-15
38
3
805
815
242
Metric and periodic lines in the Poincare ball model of hyperbolic geometry
Oğuzhan Demirel
odemirel@aku.edu.tr
1
Emine Soyturk Seyrantepe
soyturk@aku.edu.tr
2
N. Sonmez
nceylan@aku.edu.tr
3
Afyon Kocatepe University Faculty of Science and Arts ANS Campus
Afyon Kocatepe University Faculty of Science and Arts
Afyon Kocatepe University Faculty of Science and Arts
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.
http://bims.iranjournals.ir/article_242_44e4e1fc911f68b5a8f2e6d83dc55e4a.pdf
Metric spaces
Poincare ball model
hyperbolic geometry
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-09-15
38
3
817
826
243
Compact weighted Frobenius-Perron operators and their spectra
Mohammad Reza Jabbarzadeh
mrjabbar11@yahoo.com
1
Hossain Emamalipour
hemamali@yahoo.com
2
faculty of mathematical sciences, university of tabriz
faculty of mathematical sciences, university of tabriz, p. o. box: 51664
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
Frobenius-perron operator
weighted composition
operator
conditional expectation
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-09-15
38
3
827
842
245
Error bounds in approximating n-time differentiable functions of self-adjoint operators in Hilbert spaces via a Taylor's type expansion
Silvestru Dragomir
sever.dragomir@vu.edu.au
1
Mathematics, School of Engineering & Science, Victoria University, PO Box 14428,
Melbourne, Australia
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
Selfadjoint operators
Functions of Selfadjoint operators
Spectral representation
Inequalities for selfadjoint operators
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-09-15
38
3
843
852
247
Complete convergence of moving-average processes under negative
dependence sub-Gaussian assumptions
Mohammad Amini
m-amini@um.ac.ir
1
Hamid Reza Nili Sani
nilisani@yahoo.com
2
Abolghasem Bozorgnia
bozorgnia@um.ac.ir
3
Ferdowsi University of Mashhad
University of Birjand
Ferdowsi University of Mashhad
The 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.
http://bims.iranjournals.ir/article_247_87efc66f7c6b9c43675f18a89e45be94.pdf
Moving-average processes
Complete
convergence
Negative dependence
sub-gaussian random variables