Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
2
1
2016
01
01
On the Chebyshev Polynomial Bounds for Classes of Univalent Functions
1
5
EN
Şahsene
Altinkaya
Department of Mathematics, Faculty of Arts and Science,
Uludag University, Bursa, Turkey.
sahsene@uludag.edu.tr
Sibel
Yalçın
Department of Mathematics, Faculty of Arts and Science,
Uludag University, Bursa, Turkey.
syalcin@uludag.edu.tr
10.22034/kjm.2016.13993
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.
Chebyshev polynomials,Analytic and univalent functions,coefficient bounds,subordination
http://www.kjm-math.org/article_13993.html
http://www.kjm-math.org/article_13993_e4396e9eed7de57f6ed8f23ff747d3d4.pdf
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
2
1
2016
01
01
Error Locating Codes By Using Blockwise-Tensor Product of Blockwise Detecting/Correcting Codes
6
17
EN
Pankaj Kumar
Das
Department of Mathematical Sciences, Tezpur University, Napaam, Tezpur,
Assam -784028, India
pankaj4thapril@yahoo.co.in
Lalit K.
Vashisht
Department of Mathematics, University of Delhi, Delhi-110007, India
lalitkvashisht@gmail.com
10.22034/kjm.2016.14572
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.
Syndromes,parity check digits,blockwise codes,burst,error locating codes,tensor product
http://www.kjm-math.org/article_14572.html
http://www.kjm-math.org/article_14572_d63df1848ee35e910e90de1595898838.pdf
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
2
1
2016
01
01
On the Ranks of Finite Simple Groups
18
24
EN
Ayoub
B.M.
Basheer
Department of Mathematical Sciences, North-West University (Mafikeng),
P Bag X2046, Mmabatho 2735, South Africa.
ayoubbasheer@gmail.com, ayoub.basheer@nwu.ac.za
Jamshid
Moori
Department of Mathematical Sciences, North-West University (Mafikeng),
P Bag X2046, Mmabatho 2735, South Africa.
jamshid.moori@nwu.ac.za
10.22034/kjm.2016.15511
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.
Conjugacy classes,rank,generation,simple groups,sporadic groups
http://www.kjm-math.org/article_15511.html
http://www.kjm-math.org/article_15511_b3a6914aa8de55c274348d988d79bcd8.pdf
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
2
1
2016
01
01
On Some Generalized Spaces of Interval Numbers with an Infinite Matrix and Musielak-Orlicz Function
25
38
EN
Kuldip
Raj
Department of Mathematics, Shri Mata Vaishno Devi University, Katra-
182320, J & K (India).
kuldipraj68@gmail.com
Suruchi
Pandoh
Department of Mathematics, Shri Mata Vaishno Devi University, Katra-
182320, J & K (India).
suruchi.pandoh87@gmail.com
10.22034/kjm.2016.16190
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.
ideal-convergence,Λ-convergence,interval number,Orlicz function,difference sequence
http://www.kjm-math.org/article_16190.html
http://www.kjm-math.org/article_16190_4b23f2327765eb94beb92949c4b77347.pdf
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
2
1
2016
01
01
Abel-Schur Multipliers on Banach Spaces of Infinite Matrices
39
50
EN
Nicolae
Popa
Institute of Mathematics of Romanian Academy, P.O. BOX 1–764 RO–014700
Bucharest, ROMANIA.
npopa@imar.ro
10.22034/kjm.2016.16359
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.
Abel-Schur multipliers,Schur multipliers,Toeplitz matrices,Bloch space of matrices
http://www.kjm-math.org/article_16359.html
http://www.kjm-math.org/article_16359_bf9b78e8c1cfa9ba7ed0680a9ac595bc.pdf
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
2
1
2016
01
01
Periodicity and Stability in Nonlinear Neutral Dynamic Equations with Infinite Delay on a Time Scale
51
62
EN
Abdelouaheb
Ardjouni
Department of Mathematics and Informatics, University of Souk Ahras, P.O.Box 1553, Souk Ahras, 41000, Algeria.
abd_ardjouni@yahoo.fr
Ahcene
Djoudi
Department of Mathematics, University of Annaba, P.O. Box 12, Annaba
23000, Algeria.
adjoudi@yahoo.com
10.22034/kjm.2016.16711
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}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].
fixed point,infinite delay,time scales,periodic solution,Stability
http://www.kjm-math.org/article_16711.html
http://www.kjm-math.org/article_16711_9ebf94916138dbc647391b26cc4d1c8d.pdf
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
2
1
2016
01
01
Zygmund-Type Inequalities for an Operator Preserving Inequalities Between Polynomials
63
80
EN
Nisar Ahmad
Rather
Department of Mathematics, University of Kashmir, Hazratbal, Sringar,
India.
dr.narather@gmail.com
Suhail
Gulzar
Islamic University of Science & Technology Awantipora, Kashmir, India.
sgmattoo@gmail.com
Khursheed Ahmad
Thakur
Department of Mathematics, S. P. College, Sringar, India.
thakurkhursheed@gmail.com
10.22034/kjm.2016.16721
In this paper, we present certain new $L_p$ inequalities for $mathcal B_{n}$-operators which include some known polynomial inequalities as special cases.
$L^{p}$ inequalities,$mathcal B_n$-operators,polynomials
http://www.kjm-math.org/article_16721.html
http://www.kjm-math.org/article_16721_2cf1c2c3669f5cc10b2925f07dfa7567.pdf
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
2
1
2016
01
01
Closed Graph Theorems for Bornological Spaces
81
111
EN
Federico
Bambozzi
Fakultät für Mathematik, Universität Regensburg, 93040 Regensburg, Germany
federico.bambozzi@mathematik.uni-regensburg.de
10.22034/kjm.2016.17524
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.
Functional Analysis,Bornological spaces,open mapping and closed graph theorems
http://www.kjm-math.org/article_17524.html
http://www.kjm-math.org/article_17524_5a0ac6149969bfb6b858ab7f5c5c3a47.pdf