2018-07-22T17:03:11Z
http://bims.iranjournals.ir/?_action=export&rf=summon&issue=53
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
3
Solving integral equations of the third kind in the reproducing kernel space
Fazhan
Geng
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.
Analytical solution
integral equations of the third kind
reproducing kernel
2012
09
15
543
551
http://bims.iranjournals.ir/article_213_31be77a7aad4602e56a94864ad5882f2.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
3
On generalized topologies arising from
mappings
Vladimir
Pavlovic
Aleksandar
Cvetkovi' c
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.
Generalized topologies
generalized neighborhood systems
product of generalized topologies
2012
09
15
553
565
http://bims.iranjournals.ir/article_220_44f92411e606144e9eb9f38b332d54d1.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
3
G-frames and their duals for Hilbert C*-modules
Azadeh
Alijani
Mohammad Ali
Dehghan
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.
dual g-frame
g-Bessel sequence
g-frame
Hilbert C*-module
2012
09
15
567
580
http://bims.iranjournals.ir/article_206_9ada6846e5a0d425c990156f9766f580.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
3
The starlikeness, convexity, covering theorem and extreme points of p-harmonic mappings
Qiuhong
Luo
Xiantao
Wang
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 $TH^*_{p}$.
$p$-harmonic mapping
univalence
starlikeness
Convexity
extreme point
2012
09
15
581
596
http://bims.iranjournals.ir/article_224_ef60efaae2872ad5d035ebe7683c92ed.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
3
Optimal inequalities for the power, harmonic and logarithmic means
Yuming
Chu
Mingyu
Shi
Yueping
Jiang
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.
Power mean
logarithmic mean
harmonic mean
2012
09
15
597
606
http://bims.iranjournals.ir/article_225_148114bdbc407891af23dda972ab8b96.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
3
The existence results for a coupled system of nonlinear fractional differential equations with multi-point boundary conditions
Yi
Chen
Dezhu
Chen
Zhanmei
Lv
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.
Fractional differential equations
Boundary value problem
Schauder fixed-point theorem
Contraction mapping principle
2012
09
15
607
624
http://bims.iranjournals.ir/article_227_1cb83ef69ed98227526e88224cdc5a93.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
3
Some results on weakly contractive maps
Stojan
Radenovi'c
Zoran
Kadelburg
Davorka
Jandrli'c
Andrija
Jandrli'c
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.
common fixed point
Generalized weak contraction
Generalized quasicontraction
coincidence point
2012
09
15
625
645
http://bims.iranjournals.ir/article_229_7b26b9bcf68af2ce39f7be6598566fe7.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
3
2-quasirecognizability of the simple groups B_n(p) and C_n(p) by prime graph
Mahnaz
Foroudi Ghasemabadi
Ali
Iranmanesh
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.
Quasirecognition
Prime graph
simple group
element order
2012
09
15
647
668
http://bims.iranjournals.ir/article_260_29bf80f6b23d834cbe7f14a4ad0701d5.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
3
Identification of Riemannian foliations on the
tangent bundle via SODE structure
Abolghasem
Laleh
Morteza
Mir Mohamad Rezaii
Fateme
Ahangari
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.
Bundle-like metric
SODE
Semispray
Metrizability
Riemannian
Foliation
2012
09
15
669
688
http://bims.iranjournals.ir/article_232_1c2426a4a61dca0c1d59277a7d46f0c0.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
3
On Jordan left derivations and generalized Jordan left derivations of matrix rings
Nader
Ghosseiri
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.
Prime ring
left derivation
Jordan left derivation
generalized left derivation
generalized Jordan left derivation
2012
09
15
689
698
http://bims.iranjournals.ir/article_234_895b2b8aa0bd6657b0ab13d745aec4c5.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
3
Convergence theorems of an implicit iteration process for asymptotically pseudocontractive mappings
Liping
Yang
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.
implicit iteration process
Asymptotically pseudocontractive mappings
nonexpansive mappings
Normed linear spaces
fixed point
2012
09
15
699
713
http://bims.iranjournals.ir/article_235_69b9f07c099fb6347d20b877bf0c58f5.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
3
Applying Buchberger's criteria on Montes's DisPGB algorithm
Amir
Hashemi
Mahdi
Dehghani Darmian
Benyamin
M.-Alizadeh
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.
Grobner bases
Comprehensive Grobner bases
DisPGB algorithm
2012
09
15
715
724
http://bims.iranjournals.ir/article_236_ca40dd8662a34869eb72d1e96231c32d.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
3
varphi-amenability of Banach algebras
Ali
Ghaffari
Ahmad
Alinejad
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 $A^{**}$.
Amenability
Banach algebras
$F$-algebra
$varphi$-amenability
$varphi$-mean
2012
09
15
725
738
http://bims.iranjournals.ir/article_237_2d7117eadedb5265aee5e2e415a2034f.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
3
The coefficients of differentiated expansions of double and triple Jacobi polynomials
Eid
Doha
Waleed
Abd-Elhameed
Hany
Ahmed
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.
Jacobi polynomials
spectral methods
hypergeometric series, Poisson’s
equation
2012
09
15
739
765
http://bims.iranjournals.ir/article_238_bf9ba54f7aca429e3d30f958160c42bc.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
3
Superlinearly convergent exact penalty projected structured Hessian updating schemes for constrained nonlinear least squares: asymptotic analysis
N.
Mahdavi-Amiri
Mohammad Reza
Ansari
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.
Constrained nonlinear programming
exact penalty method
nonlinear least squares
projected structured Hessian update
2012
09
15
767
786
http://bims.iranjournals.ir/article_240_962ced196e74eb319a889a7deb02eb7c.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
3
Improved infeasible-interior-point algorithm for linear complementarity problems
Maryam
Zangiabadi
Hossein
Mansouri
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.
linear complementarity problems
interior-point methods
polynomial complexity
full-Newton steps
search directions
2012
09
15
787
803
http://bims.iranjournals.ir/article_241_161c4ab48ed9b2e646af66d31fcd932d.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
3
Metric and periodic lines in the Poincare ball model of hyperbolic geometry
Oğuzhan
Demirel
Emine
Soyturk Seyrantepe
N.
Sonmez
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.
Metric spaces
Poincare ball model
hyperbolic geometry
2012
09
15
805
815
http://bims.iranjournals.ir/article_242_44e4e1fc911f68b5a8f2e6d83dc55e4a.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
3
Compact weighted Frobenius-Perron operators and their spectra
Mohammad Reza
Jabbarzadeh
Hossain
Emamalipour
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.
Frobenius-perron operator
weighted composition
operator
conditional expectation
2012
09
15
817
826
http://bims.iranjournals.ir/article_243_8a0cae2a4c335660f929d5a7e98d80d4.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
3
Error bounds in approximating n-time differentiable functions of self-adjoint operators in Hilbert spaces via a Taylor's type expansion
Silvestru
Dragomir
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.
Selfadjoint operators
Functions of Selfadjoint operators
Spectral representation
Inequalities for selfadjoint operators
2012
09
15
827
842
http://bims.iranjournals.ir/article_245_73a8e6efb747727fb3f26520ccd854dd.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
3
Complete convergence of moving-average processes under negative
dependence sub-Gaussian assumptions
Mohammad
Amini
Hamid Reza
Nili Sani
Abolghasem
Bozorgnia
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.
Moving-average processes
Complete
convergence
Negative dependence
sub-gaussian random variables
2012
09
15
843
852
http://bims.iranjournals.ir/article_247_87efc66f7c6b9c43675f18a89e45be94.pdf