eng
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
2423-4788
2016-01-01
2
1
1
5
10.22034/kjm.2016.13993
13993
On the Chebyshev Polynomial Bounds for Classes of Univalent Functions
Şahsene Altinkaya
sahsene@uludag.edu.tr
1
Sibel Yalçın
syalcin@uludag.edu.tr
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.
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
Chebyshev polynomials
Analytic and univalent functions
coefficient bounds
subordination
eng
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
2423-4788
2016-01-01
2
1
6
17
10.22034/kjm.2016.14572
14572
Error Locating Codes By Using Blockwise-Tensor Product of Blockwise Detecting/Correcting Codes
Pankaj Kumar Das
pankaj4thapril@yahoo.co.in
1
Lalit K. Vashisht
lalitkvashisht@gmail.com
2
Department of Mathematical Sciences, Tezpur University, Napaam, Tezpur, Assam -784028, India
Department of Mathematics, University of Delhi, Delhi-110007, India
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
Syndromes
parity check digits
blockwise codes
burst
error locating codes
tensor product
eng
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
2423-4788
2016-01-01
2
1
18
24
10.22034/kjm.2016.15511
15511
On the Ranks of Finite Simple Groups
Ayoub Basheer
ayoubbasheer@gmail.com, ayoub.basheer@nwu.ac.za
1
Jamshid Moori
jamshid.moori@nwu.ac.za
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.
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
Conjugacy classes
rank
generation
simple groups
sporadic groups
eng
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
2423-4788
2016-01-01
2
1
25
38
10.22034/kjm.2016.16190
16190
On Some Generalized Spaces of Interval Numbers with an Infinite Matrix and Musielak-Orlicz Function
Kuldip Raj
kuldipraj68@gmail.com
1
Suruchi Pandoh
suruchi.pandoh87@gmail.com
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).
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
ideal-convergence
Λ-convergence
interval number
Orlicz function
difference sequence
eng
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
2423-4788
2016-01-01
2
1
39
50
10.22034/kjm.2016.16359
16359
Abel-Schur Multipliers on Banach Spaces of Infinite Matrices
Nicolae Popa
npopa@imar.ro
1
Institute of Mathematics of Romanian Academy, P.O. BOX 1–764 RO–014700 Bucharest, ROMANIA.
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
Abel-Schur multipliers
Schur multipliers
Toeplitz matrices
Bloch space of matrices
eng
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
2423-4788
2016-01-01
2
1
51
62
10.22034/kjm.2016.16711
16711
Periodicity and Stability in Nonlinear Neutral Dynamic Equations with Infinite Delay on a Time Scale
Abdelouaheb Ardjouni
abd_ardjouni@yahoo.fr
1
Ahcene Djoudi
adjoudi@yahoo.com
2
Department of Mathematics and Informatics, University of Souk Ahras, P.O.Box 1553, Souk Ahras, 41000, Algeria.
Department of Mathematics, University of Annaba, P.O. Box 12, Annaba 23000, Algeria.
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].
http://www.kjm-math.org/article_16711_9ebf94916138dbc647391b26cc4d1c8d.pdf
fixed point
infinite delay
time scales
periodic solution
Stability
eng
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
2423-4788
2016-01-01
2
1
63
80
10.22034/kjm.2016.16721
16721
Zygmund-Type Inequalities for an Operator Preserving Inequalities Between Polynomials
Nisar Ahmad Rather
dr.narather@gmail.com
1
Suhail Gulzar
sgmattoo@gmail.com
2
Khursheed Ahmad Thakur
thakurkhursheed@gmail.com
3
Department of Mathematics, University of Kashmir, Hazratbal, Sringar, India.
Islamic University of Science & Technology Awantipora, Kashmir, India.
Department of Mathematics, S. P. College, Sringar, India.
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
$L^{p}$ inequalities
$mathcal B_n$-operators
polynomials
eng
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
2423-4788
2016-01-01
2
1
81
111
10.22034/kjm.2016.17524
17524
Closed Graph Theorems for Bornological Spaces
Federico Bambozzi
federico.bambozzi@mathematik.uni-regensburg.de
1
Fakultät für Mathematik, Universität Regensburg, 93040 Regensburg, Germany
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
Functional Analysis
Bornological spaces
open mapping and closed graph theorems