Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)Khayyam Journal of Mathematics2423-47882120160101On the Chebyshev Polynomial Bounds for Classes of Univalent Functions151399310.22034/kjm.2016.13993ENŞahseneAltinkayaDepartment of Mathematics, Faculty of Arts and Science,
Uludag University, Bursa, Turkey.SibelYalçınDepartment of Mathematics, Faculty of Arts and Science,
Uludag University, Bursa, Turkey.0000-0002-0243-8263Journal Article20151104In this work, by considering a general subclass of univalent functions and using the Chebyshev polynomials, we obtain coefficient expansions for functions in this class.http://www.kjm-math.org/article_13993_e4396e9eed7de57f6ed8f23ff747d3d4.pdfDepartment of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)Khayyam Journal of Mathematics2423-47882120160101Error Locating Codes By Using Blockwise-Tensor Product of Blockwise Detecting/Correcting Codes6171457210.22034/kjm.2016.14572ENPankaj KumarDasDepartment of Mathematical Sciences, Tezpur University, Napaam, Tezpur,
Assam -784028, IndiaLalit K.VashishtDepartment of Mathematics, University of Delhi, Delhi-110007, IndiaJournal Article20151108In this paper, we obtain lower and upper bounds on the number of parity check digits of a linear code that corrects $e$ or less errors within a sub-block. An example of such a code is provided. We introduce blockwise-tensor product of matrices and using this, we propose classes of error locating codes (or EL-codes) that can detect $e$ or less errors within a sub-block and locate several such corrupted sub-blocks.http://www.kjm-math.org/article_14572_d63df1848ee35e910e90de1595898838.pdfDepartment of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)Khayyam Journal of Mathematics2423-47882120160101On the Ranks of Finite Simple Groups18241551110.22034/kjm.2016.15511ENAyoub B.M.BasheerDepartment of Mathematical Sciences, North-West University (Mafikeng),
P Bag X2046, Mmabatho 2735, South Africa.JamshidMooriDepartment of Mathematical Sciences, North-West University (Mafikeng),
P Bag X2046, Mmabatho 2735, South Africa.Journal Article20160102Let $G$ be a finite group and let $X$ be a conjugacy class of $G.$ The rank of $X$ in $G,$ denoted by $rank(G{:}X)$ is defined to be the minimal number of elements of $X$ generating $G.$ In this paper we review the basic results on generation of finite simple groups and we survey the recent developments on computing the ranks of finite simple groups.http://www.kjm-math.org/article_15511_b3a6914aa8de55c274348d988d79bcd8.pdfDepartment of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)Khayyam Journal of Mathematics2423-47882120160101On Some Generalized Spaces of Interval Numbers with an Infinite Matrix and Musielak-Orlicz Function25381619010.22034/kjm.2016.16190ENKuldipRajDepartment of Mathematics, Shri Mata Vaishno Devi University, Katra-
182320, J & K (India).SuruchiPandohDepartment of Mathematics, Shri Mata Vaishno Devi University, Katra-
182320, J & K (India).Journal Article20160822In the present paper we introduce and study some generalized $I$-convergent sequence spaces of interval numbers defined by an infinite matrix and a Musielak-Orlicz function. We also make an effort to study some topological and algebraic properties of these spaces.http://www.kjm-math.org/article_16190_4b23f2327765eb94beb92949c4b77347.pdfDepartment of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)Khayyam Journal of Mathematics2423-47882120160101Abel-Schur Multipliers on Banach Spaces of Infinite Matrices39501635910.22034/kjm.2016.16359ENNicolaePopaInstitute of Mathematics of Romanian Academy, P.O. BOX 1–764 RO–014700
Bucharest, ROMANIA.Journal Article20151018We consider a more general class than the class of Schur multipliers namely the Abel-Schur multipliers, which in turn coincide with the bounded linear operators on $ell_{2}$ preserving the diagonals. We extend to the matrix framework Theorem 2.4 (a) of a paper of Anderson, Clunie, and Pommerenke published in 1974, and as an application of this theorem we obtain a new proof of the necessity of an old theorem of Hardy and Littlewood in 1941.http://www.kjm-math.org/article_16359_bf9b78e8c1cfa9ba7ed0680a9ac595bc.pdfDepartment of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)Khayyam Journal of Mathematics2423-47882120160101Periodicity and Stability in Nonlinear Neutral Dynamic Equations with Infinite Delay on a Time Scale51621671110.22034/kjm.2016.16711ENAbdelouahebArdjouniDepartment of Mathematics and Informatics, University of Souk Ahras, P.O.Box 1553, Souk Ahras, 41000, Algeria.AhceneDjoudiDepartment of Mathematics, University of Annaba, P.O. Box 12, Annaba
23000, Algeria.Journal Article20160221Let $mathbb{T}$ be a periodic time scale. We use a fixed point theorem due to Krasnoselskii to show that the nonlinear neutral dynamic equation with infinite delay [ x^{Delta}(t)=-a(t)x^{sigma}(t)+left( Q(t,x(t-g(t))))right) ^{Delta }+int_{-infty}^{t}Dleft( t,uright) fleft( x(u)right) Delta u, tinmathbb{T}, ] has a periodic solution. Under a slightly more stringent inequality we show that the periodic solution is unique using the contraction mapping principle. Also, by the aid of the contraction mapping principle we study the asymptotic stability of the zero solution provided that $Q(t,0)=f(0)=0$. The results obtained here extend the work of Althubiti, Makhzoum and Raffoul [1].http://www.kjm-math.org/article_16711_9ebf94916138dbc647391b26cc4d1c8d.pdfDepartment of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)Khayyam Journal of Mathematics2423-47882120160101Zygmund-Type Inequalities for an Operator Preserving Inequalities Between Polynomials63801672110.22034/kjm.2016.16721ENNisar AhmadRatherDepartment of Mathematics, University of Kashmir, Hazratbal, Sringar,
India.SuhailGulzarIslamic University of Science & Technology Awantipora, Kashmir, India.Khursheed AhmadThakurDepartment of Mathematics, S. P. College, Sringar, India.Journal Article20150920 In this paper, we present certain new $L_p$ inequalities for $mathcal B_{n}$-operators which include some known polynomial inequalities as special cases.http://www.kjm-math.org/article_16721_2cf1c2c3669f5cc10b2925f07dfa7567.pdfDepartment of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)Khayyam Journal of Mathematics2423-47882120160101Closed Graph Theorems for Bornological Spaces811111752410.22034/kjm.2016.17524ENFedericoBambozziFakultät für Mathematik, Universität Regensburg, 93040 Regensburg, GermanyJournal Article20160930The aim of this paper is that of discussing closed graph theorems for bornological vector spaces in a self-contained way, hoping to make the subject more accessible to non-experts. We will see how to easily adapt classical arguments of functional analysis over $mathbb R$ and $mathbb C$ to deduce closed graph theorems for bornological vector spaces over any complete, non-trivially valued field, hence encompassing the non-Archimedean case too. We will end this survey by discussing some applications. In particular, we will prove De Wilde's Theorem for non-Archimedean locally convex spaces and then deduce some results about the automatic boundedness of algebra morphisms for a class of bornological algebras of interest in analytic geometry, both Archimedean (complex analytic geometry) and non-Archimedean.http://www.kjm-math.org/article_17524_5a0ac6149969bfb6b858ab7f5c5c3a47.pdf