On the Chebyshev Polynomial Bounds for Classes of Univalent Functions
Şahsene
Altinkaya
Department of Mathematics, Faculty of Arts and Science,
Uludag University, Bursa, Turkey.
author
Sibel
Yalçın
Department of Mathematics, Faculty of Arts and Science,
Uludag University, Bursa, Turkey.
author
text
article
2016
eng
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.
Khayyam Journal of Mathematics
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)
2423-4788
2
v.
1
no.
2016
1
5
http://www.kjm-math.org/article_13993_e4396e9eed7de57f6ed8f23ff747d3d4.pdf
dx.doi.org/10.22034/kjm.2016.13993
Error Locating Codes By Using Blockwise-Tensor Product of Blockwise Detecting/Correcting Codes
Pankaj Kumar
Das
Department of Mathematical Sciences, Tezpur University, Napaam, Tezpur,
Assam -784028, India
author
Lalit K.
Vashisht
Department of Mathematics, University of Delhi, Delhi-110007, India
author
text
article
2016
eng
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.
Khayyam Journal of Mathematics
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)
2423-4788
2
v.
1
no.
2016
6
17
http://www.kjm-math.org/article_14572_d63df1848ee35e910e90de1595898838.pdf
dx.doi.org/10.22034/kjm.2016.14572
On the Ranks of Finite Simple Groups
Ayoub
Basheer
Department of Mathematical Sciences, North-West University (Mafikeng),
P Bag X2046, Mmabatho 2735, South Africa.
author
Jamshid
Moori
Department of Mathematical Sciences, North-West University (Mafikeng),
P Bag X2046, Mmabatho 2735, South Africa.
author
text
article
2016
eng
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.
Khayyam Journal of Mathematics
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)
2423-4788
2
v.
1
no.
2016
18
24
http://www.kjm-math.org/article_15511_b3a6914aa8de55c274348d988d79bcd8.pdf
dx.doi.org/10.22034/kjm.2016.15511
On Some Generalized Spaces of Interval Numbers with an Infinite Matrix and Musielak-Orlicz Function
Kuldip
Raj
Department of Mathematics, Shri Mata Vaishno Devi University, Katra-
182320, J & K (India).
author
Suruchi
Pandoh
Department of Mathematics, Shri Mata Vaishno Devi University, Katra-
182320, J & K (India).
author
text
article
2016
eng
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.
Khayyam Journal of Mathematics
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)
2423-4788
2
v.
1
no.
2016
25
38
http://www.kjm-math.org/article_16190_4b23f2327765eb94beb92949c4b77347.pdf
dx.doi.org/10.22034/kjm.2016.16190
Abel-Schur Multipliers on Banach Spaces of Infinite Matrices
Nicolae
Popa
Institute of Mathematics of Romanian Academy, P.O. BOX 1–764 RO–014700
Bucharest, ROMANIA.
author
text
article
2016
eng
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.
Khayyam Journal of Mathematics
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)
2423-4788
2
v.
1
no.
2016
39
50
http://www.kjm-math.org/article_16359_bf9b78e8c1cfa9ba7ed0680a9ac595bc.pdf
dx.doi.org/10.22034/kjm.2016.16359
Periodicity and Stability in Nonlinear Neutral Dynamic Equations with Infinite Delay on a Time Scale
Abdelouaheb
Ardjouni
Department of Mathematics and Informatics, University of Souk Ahras, P.O.Box 1553, Souk Ahras, 41000, Algeria.
author
Ahcene
Djoudi
Department of Mathematics, University of Annaba, P.O. Box 12, Annaba
23000, Algeria.
author
text
article
2016
eng
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 [1].
Khayyam Journal of Mathematics
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)
2423-4788
2
v.
1
no.
2016
51
62
http://www.kjm-math.org/article_16711_9ebf94916138dbc647391b26cc4d1c8d.pdf
dx.doi.org/10.22034/kjm.2016.16711
Zygmund-Type Inequalities for an Operator Preserving Inequalities Between Polynomials
Nisar Ahmad
Rather
Department of Mathematics, University of Kashmir, Hazratbal, Sringar,
India.
author
Suhail
Gulzar
Islamic University of Science & Technology Awantipora, Kashmir, India.
author
Khursheed Ahmad
Thakur
Department of Mathematics, S. P. College, Sringar, India.
author
text
article
2016
eng
In this paper, we present certain new $L_p$ inequalities for $\mathcal B_{n}$-operators which include some known polynomial inequalities as special cases.
Khayyam Journal of Mathematics
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)
2423-4788
2
v.
1
no.
2016
63
80
http://www.kjm-math.org/article_16721_2cf1c2c3669f5cc10b2925f07dfa7567.pdf
dx.doi.org/10.22034/kjm.2016.16721
Closed Graph Theorems for Bornological Spaces
Federico
Bambozzi
Fakultät für Mathematik, Universität Regensburg, 93040 Regensburg, Germany
author
text
article
2016
eng
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.
Khayyam Journal of Mathematics
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)
2423-4788
2
v.
1
no.
2016
81
111
http://www.kjm-math.org/article_17524_5a0ac6149969bfb6b858ab7f5c5c3a47.pdf
dx.doi.org/10.22034/kjm.2016.17524