ORIGINAL_ARTICLE On the Chebyshev Polynomial Bounds for Classes of Univalent Functions In 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.pdf 2016-01-01T11:23:20 2021-01-28T11:23:20 1 5 10.22034/kjm.2016.13993 Chebyshev polynomials Analytic and univalent functions coefficient bounds subordination Şahsene Altinkaya sahsene@uludag.edu.tr true 1 Department of Mathematics, Faculty of Arts and Science, Uludag University, Bursa, Turkey. Department of Mathematics, Faculty of Arts and Science, Uludag University, Bursa, Turkey. Department of Mathematics, Faculty of Arts and Science, Uludag University, Bursa, Turkey. LEAD_AUTHOR Sibel Yalçın syalcin@uludag.edu.tr true 2 Department of Mathematics, Faculty of Arts and Science, Uludag University, Bursa, Turkey. Department of Mathematics, Faculty of Arts and Science, Uludag University, Bursa, Turkey. Department of Mathematics, Faculty of Arts and Science, Uludag University, Bursa, Turkey. AUTHOR
ORIGINAL_ARTICLE Error Locating Codes By Using Blockwise-Tensor Product of Blockwise Detecting/Correcting Codes In 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.pdf 2016-01-01T11:23:20 2021-01-28T11:23:20 6 17 10.22034/kjm.2016.14572 Syndromes parity check digits blockwise codes burst error locating codes tensor product Pankaj Kumar Das pankaj4thapril@yahoo.co.in true 1 Department of Mathematical Sciences, Tezpur University, Napaam, Tezpur, Assam -784028, India Department of Mathematical Sciences, Tezpur University, Napaam, Tezpur, Assam -784028, India Department of Mathematical Sciences, Tezpur University, Napaam, Tezpur, Assam -784028, India AUTHOR Lalit K. Vashisht lalitkvashisht@gmail.com true 2 Department of Mathematics, University of Delhi, Delhi-110007, India Department of Mathematics, University of Delhi, Delhi-110007, India Department of Mathematics, University of Delhi, Delhi-110007, India LEAD_AUTHOR
ORIGINAL_ARTICLE On the Ranks of Finite Simple Groups Let $G$ 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.pdf 2016-01-01T11:23:20 2021-01-28T11:23:20 18 24 10.22034/kjm.2016.15511 Conjugacy classes rank generation simple groups sporadic groups Ayoub Basheer ayoubbasheer@gmail.com, ayoub.basheer@nwu.ac.za true 1 Department of Mathematical Sciences, North-West University (Mafikeng), P Bag X2046, Mmabatho 2735, South Africa. Department of Mathematical Sciences, North-West University (Mafikeng), P Bag X2046, Mmabatho 2735, South Africa. Department of Mathematical Sciences, North-West University (Mafikeng), P Bag X2046, Mmabatho 2735, South Africa. LEAD_AUTHOR Jamshid Moori jamshid.moori@nwu.ac.za true 2 Department of Mathematical Sciences, North-West University (Mafikeng), P Bag X2046, Mmabatho 2735, South Africa. Department of Mathematical Sciences, North-West University (Mafikeng), P Bag X2046, Mmabatho 2735, South Africa. Department of Mathematical Sciences, North-West University (Mafikeng), P Bag X2046, Mmabatho 2735, South Africa. AUTHOR
ORIGINAL_ARTICLE On Some Generalized Spaces of Interval Numbers with an Infinite Matrix and Musielak-Orlicz Function In 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.pdf 2016-01-01T11:23:20 2021-01-28T11:23:20 25 38 10.22034/kjm.2016.16190 ideal-convergence Λ-convergence interval number Orlicz function difference sequence Kuldip Raj kuldipraj68@gmail.com true 1 Department of Mathematics, Shri Mata Vaishno Devi University, Katra- 182320, J & K (India). Department of Mathematics, Shri Mata Vaishno Devi University, Katra- 182320, J & K (India). Department of Mathematics, Shri Mata Vaishno Devi University, Katra- 182320, J & K (India). LEAD_AUTHOR Suruchi Pandoh suruchi.pandoh87@gmail.com true 2 Department of Mathematics, Shri Mata Vaishno Devi University, Katra- 182320, J & K (India). Department of Mathematics, Shri Mata Vaishno Devi University, Katra- 182320, J & K (India). Department of Mathematics, Shri Mata Vaishno Devi University, Katra- 182320, J & K (India). AUTHOR
ORIGINAL_ARTICLE Abel-Schur Multipliers on Banach Spaces of Infinite Matrices We 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.pdf 2016-01-01T11:23:20 2021-01-28T11:23:20 39 50 10.22034/kjm.2016.16359 Abel-Schur multipliers Schur multipliers Toeplitz matrices Bloch space of matrices Nicolae Popa npopa@imar.ro true 1 Institute of Mathematics of Romanian Academy, P.O. BOX 1–764 RO–014700 Bucharest, ROMANIA. Institute of Mathematics of Romanian Academy, P.O. BOX 1–764 RO–014700 Bucharest, ROMANIA. Institute of Mathematics of Romanian Academy, P.O. BOX 1–764 RO–014700 Bucharest, ROMANIA. LEAD_AUTHOR
ORIGINAL_ARTICLE Periodicity and Stability in Nonlinear Neutral Dynamic Equations with Infinite Delay on a Time Scale Let $\mathbb{T}$ 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 $x^{\Delta}(t)=-a(t)x^{\sigma}(t)+\left( Q(t,x(t-g(t))))\right) ^{\Delta }+\int_{-\infty}^{t}D\left( t,u\right) f\left( x(u)\right) \Delta u,\ t\in\mathbb{T},$ 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 . http://www.kjm-math.org/article_16711_9ebf94916138dbc647391b26cc4d1c8d.pdf 2016-01-01T11:23:20 2021-01-28T11:23:20 51 62 10.22034/kjm.2016.16711 fixed point infinite delay time scales periodic solution Stability Abdelouaheb Ardjouni abd_ardjouni@yahoo.fr true 1 Department of Mathematics and Informatics, University of Souk Ahras, P.O.Box 1553, Souk Ahras, 41000, Algeria. Department of Mathematics and Informatics, University of Souk Ahras, P.O.Box 1553, Souk Ahras, 41000, Algeria. Department of Mathematics and Informatics, University of Souk Ahras, P.O.Box 1553, Souk Ahras, 41000, Algeria. LEAD_AUTHOR Ahcene Djoudi adjoudi@yahoo.com true 2 Department of Mathematics, University of Annaba, P.O. Box 12, Annaba 23000, Algeria. Department of Mathematics, University of Annaba, P.O. Box 12, Annaba 23000, Algeria. Department of Mathematics, University of Annaba, P.O. Box 12, Annaba 23000, Algeria. AUTHOR
ORIGINAL_ARTICLE Zygmund-Type Inequalities for an Operator Preserving Inequalities Between Polynomials  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.pdf 2016-01-01T11:23:20 2021-01-28T11:23:20 63 80 10.22034/kjm.2016.16721 $L^{p}$ inequalities $mathcal B_n$-operators polynomials Nisar Ahmad Rather dr.narather@gmail.com true 1 Department of Mathematics, University of Kashmir, Hazratbal, Sringar, India. Department of Mathematics, University of Kashmir, Hazratbal, Sringar, India. Department of Mathematics, University of Kashmir, Hazratbal, Sringar, India. AUTHOR Suhail Gulzar sgmattoo@gmail.com true 2 Islamic University of Science & Technology Awantipora, Kashmir, India. Islamic University of Science & Technology Awantipora, Kashmir, India. Islamic University of Science & Technology Awantipora, Kashmir, India. LEAD_AUTHOR Khursheed Ahmad Thakur thakurkhursheed@gmail.com true 3 Department of Mathematics, S. P. College, Sringar, India. Department of Mathematics, S. P. College, Sringar, India. Department of Mathematics, S. P. College, Sringar, India. AUTHOR
ORIGINAL_ARTICLE Closed Graph Theorems for Bornological Spaces The 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 2016-01-01T11:23:20 2021-01-28T11:23:20 81 111 10.22034/kjm.2016.17524 Functional Analysis Bornological spaces open mapping and closed graph theorems Federico Bambozzi federico.bambozzi@mathematik.uni-regensburg.de true 1 Fakultät für Mathematik, Universität Regensburg, 93040 Regensburg, Germany Fakultät für Mathematik, Universität Regensburg, 93040 Regensburg, Germany Fakultät für Mathematik, Universität Regensburg, 93040 Regensburg, Germany LEAD_AUTHOR