2021-01-28T05:51:47Z
http://www.kjm-math.org/?_action=export&rf=summon&issue=3209
Khayyam Journal of Mathematics
Khayyam J. Math.
2016
2
1
On the Chebyshev Polynomial Bounds for Classes of Univalent Functions
Şahsene
Altinkaya
Sibel
Yalçın
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
2016
01
01
1
5
http://www.kjm-math.org/article_13993_e4396e9eed7de57f6ed8f23ff747d3d4.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2016
2
1
Error Locating Codes By Using Blockwise-Tensor Product of Blockwise Detecting/Correcting Codes
Pankaj Kumar
Das
Lalit K.
Vashisht
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
2016
01
01
6
17
http://www.kjm-math.org/article_14572_d63df1848ee35e910e90de1595898838.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2016
2
1
On the Ranks of Finite Simple Groups
Ayoub
Basheer
Jamshid
Moori
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
2016
01
01
18
24
http://www.kjm-math.org/article_15511_b3a6914aa8de55c274348d988d79bcd8.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2016
2
1
On Some Generalized Spaces of Interval Numbers with an Infinite Matrix and Musielak-Orlicz Function
Kuldip
Raj
Suruchi
Pandoh
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
2016
01
01
25
38
http://www.kjm-math.org/article_16190_4b23f2327765eb94beb92949c4b77347.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2016
2
1
Abel-Schur Multipliers on Banach Spaces of Infinite Matrices
Nicolae
Popa
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
2016
01
01
39
50
http://www.kjm-math.org/article_16359_bf9b78e8c1cfa9ba7ed0680a9ac595bc.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2016
2
1
Periodicity and Stability in Nonlinear Neutral Dynamic Equations with Infinite Delay on a Time Scale
Abdelouaheb
Ardjouni
Ahcene
Djoudi
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].
fixed point
infinite delay
time scales
periodic solution
Stability
2016
01
01
51
62
http://www.kjm-math.org/article_16711_9ebf94916138dbc647391b26cc4d1c8d.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2016
2
1
Zygmund-Type Inequalities for an Operator Preserving Inequalities Between Polynomials
Nisar Ahmad
Rather
Suhail
Gulzar
Khursheed Ahmad
Thakur
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
2016
01
01
63
80
http://www.kjm-math.org/article_16721_2cf1c2c3669f5cc10b2925f07dfa7567.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2016
2
1
Closed Graph Theorems for Bornological Spaces
Federico
Bambozzi
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
2016
01
01
81
111
http://www.kjm-math.org/article_17524_5a0ac6149969bfb6b858ab7f5c5c3a47.pdf