Solving integral equations of the third kind in the reproducing kernel space
Fazhan
Geng
Department of Mathematics, changshu Institute of Technology, Changshu, China.
author
text
article
2012
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
3
no.
2012
543
551
http://bims.iranjournals.ir/article_213_31be77a7aad4602e56a94864ad5882f2.pdf
On generalized topologies arising from
mappings
Vladimir
Pavlovic
University of Nis, Faculty of Sciences and Mathematics
author
Aleksandar
Cvetkovi' c
Department of Mathematics and Informatics, Faculty of Mechancial Engineering, University
of Belgrade
author
text
article
2012
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
3
no.
2012
553
565
http://bims.iranjournals.ir/article_220_44f92411e606144e9eb9f38b332d54d1.pdf
G-frames and their duals for Hilbert C*-modules
Azadeh
Alijani
Ph.D student of Vali-e-Asr University
author
Mohammad Ali
Dehghan
Staff of Vali-e-Asr university
author
text
article
2012
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
3
no.
2012
567
580
http://bims.iranjournals.ir/article_206_9ada6846e5a0d425c990156f9766f580.pdf
The starlikeness, convexity, covering theorem and extreme points of p-harmonic mappings
Qiuhong
Luo
Department of Mathematics,
Hunan Normal University, Changsha, Hunan 410081, People's Republic
of China.
author
Xiantao
Wang
Hunan Normal University of China
author
text
article
2012
eng
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 $TH^*_{p}$.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
3
no.
2012
581
596
http://bims.iranjournals.ir/article_224_ef60efaae2872ad5d035ebe7683c92ed.pdf
Optimal inequalities for the power, harmonic and logarithmic means
Yuming
Chu
Huzhou Teachers College
author
Mingyu
Shi
Hebei University
author
Yueping
Jiang
Hunan University
author
text
article
2012
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
3
no.
2012
597
606
http://bims.iranjournals.ir/article_225_148114bdbc407891af23dda972ab8b96.pdf
The existence results for a coupled system of nonlinear fractional differential equations with multi-point boundary conditions
Yi
Chen
School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, P.R.China
author
Dezhu
Chen
School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, P.R.China
author
Zhanmei
Lv
School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, P.R.China
author
text
article
2012
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
3
no.
2012
607
624
http://bims.iranjournals.ir/article_227_1cb83ef69ed98227526e88224cdc5a93.pdf
Some results on weakly contractive maps
Stojan
Radenovi'c
University of Belgrade, Faculty of Mechanical Engineering
author
Zoran
Kadelburg
University of Belgrade, Faculty of Mathematics
author
Davorka
Jandrli'c
University of Belgrade, Faculty of Mechanical Engineering
author
Andrija
Jandrli'c
University of Belgrade, Faculty of Mechanical Engineering
author
text
article
2012
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
3
no.
2012
625
645
http://bims.iranjournals.ir/article_229_7b26b9bcf68af2ce39f7be6598566fe7.pdf
2-quasirecognizability of the simple groups B_n(p) and C_n(p) by prime graph
Mahnaz
Foroudi Ghasemabadi
Tarbiat Modares University
author
Ali
Iranmanesh
Tarbiat Modares University
author
text
article
2012
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
3
no.
2012
647
668
http://bims.iranjournals.ir/article_260_29bf80f6b23d834cbe7f14a4ad0701d5.pdf
Identification of Riemannian foliations on the
tangent bundle via SODE structure
Abolghasem
Laleh
Amirkabir University of Technology
author
Morteza
Mir Mohamad Rezaii
Amirkabir University of Technology
author
Fateme
Ahangari
Amirkabir University of Technology
author
text
article
2012
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
3
no.
2012
669
688
http://bims.iranjournals.ir/article_232_1c2426a4a61dca0c1d59277a7d46f0c0.pdf
On Jordan left derivations and generalized Jordan left derivations of matrix rings
Nader
Ghosseiri
Academic member of University of Kurdistan
author
text
article
2012
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
3
no.
2012
689
698
http://bims.iranjournals.ir/article_234_895b2b8aa0bd6657b0ab13d745aec4c5.pdf
Convergence theorems of an implicit iteration process for asymptotically pseudocontractive mappings
Liping
Yang
Guangdong University of Technology
author
text
article
2012
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
3
no.
2012
699
713
http://bims.iranjournals.ir/article_235_69b9f07c099fb6347d20b877bf0c58f5.pdf
Applying Buchberger's criteria on Montes's DisPGB algorithm
Amir
Hashemi
Isfahan university of technology
author
Mahdi
Dehghani Darmian
Isfahan University of Technology
author
Benyamin
M.-Alizadeh
Isfahan University of Technology
author
text
article
2012
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
3
no.
2012
715
724
http://bims.iranjournals.ir/article_236_ca40dd8662a34869eb72d1e96231c32d.pdf
\varphi-amenability of Banach algebras
Ali
Ghaffari
Semnan University
author
Ahmad
Alinejad
Semnan University
author
text
article
2012
eng
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 $A^{**}$.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
3
no.
2012
725
738
http://bims.iranjournals.ir/article_237_2d7117eadedb5265aee5e2e415a2034f.pdf
The coefficients of differentiated expansions of double and triple Jacobi polynomials
Eid
Doha
Cairo University-Faculty of Science-Mathematics Department
author
Waleed
Abd-Elhameed
Cairo University-Faculty of Science-Mathematics Department
author
Hany
Ahmed
Helwan University-Faculty of Science-Mathematics Department
author
text
article
2012
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
3
no.
2012
739
765
http://bims.iranjournals.ir/article_238_bf9ba54f7aca429e3d30f958160c42bc.pdf
Superlinearly convergent exact penalty projected structured Hessian updating schemes for constrained nonlinear least squares: asymptotic analysis
N.
Mahdavi-Amiri
Sharif University of Technology
author
Mohammad Reza
Ansari
Sharif University of Technology
author
text
article
2012
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
3
no.
2012
767
786
http://bims.iranjournals.ir/article_240_962ced196e74eb319a889a7deb02eb7c.pdf
Improved infeasible-interior-point algorithm for linear complementarity problems
Maryam
Zangiabadi
Dept. Appied Mathematics,
Shahrekord University
author
Hossein
Mansouri
Dept. Applied Mathematics, Shahrekord University
author
text
article
2012
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
3
no.
2012
787
803
http://bims.iranjournals.ir/article_241_161c4ab48ed9b2e646af66d31fcd932d.pdf
Metric and periodic lines in the Poincare ball model of hyperbolic geometry
Oğuzhan
Demirel
Afyon Kocatepe University
Faculty of Science and Arts
ANS Campus
author
Emine
Soyturk Seyrantepe
Afyon Kocatepe University
Faculty of Science and Arts
author
N.
Sonmez
Afyon Kocatepe University Faculty of Science and Arts
author
text
article
2012
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
3
no.
2012
805
815
http://bims.iranjournals.ir/article_242_44e4e1fc911f68b5a8f2e6d83dc55e4a.pdf
Compact weighted Frobenius-Perron operators and their spectra
Mohammad Reza
Jabbarzadeh
faculty of mathematical sciences, university of tabriz
author
Hossain
Emamalipour
faculty of mathematical sciences, university of tabriz, p. o. box: 51664
author
text
article
2012
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
3
no.
2012
817
826
http://bims.iranjournals.ir/article_243_8a0cae2a4c335660f929d5a7e98d80d4.pdf
Error bounds in approximating n-time differentiable functions of self-adjoint operators in Hilbert spaces via a Taylor's type expansion
Silvestru
Dragomir
Mathematics, School of Engineering & Science, Victoria University, PO Box 14428,
Melbourne, Australia
author
text
article
2012
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
3
no.
2012
827
842
http://bims.iranjournals.ir/article_245_73a8e6efb747727fb3f26520ccd854dd.pdf
Complete convergence of moving-average processes under negative
dependence sub-Gaussian assumptions
Mohammad
Amini
Ferdowsi University of Mashhad
author
Hamid Reza
Nili Sani
University of Birjand
author
Abolghasem
Bozorgnia
Ferdowsi University of Mashhad
author
text
article
2012
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
3
no.
2012
843
852
http://bims.iranjournals.ir/article_247_87efc66f7c6b9c43675f18a89e45be94.pdf