2016
2
1
1
111
On the Chebyshev Polynomial Bounds for Classes of Univalent Functions
2
2
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.
1

1
5


Şahsene
Altinkaya
Department of Mathematics, Faculty of Arts and Science,
Uludag University, Bursa, Turkey.
Department of Mathematics, Faculty of Arts
Turkey
sahsene@uludag.edu.tr


Sibel
Yalçın
Department of Mathematics, Faculty of Arts and Science,
Uludag University, Bursa, Turkey.
Department of Mathematics, Faculty of Arts
Turkey
syalcin@uludag.edu.tr
Chebyshev polynomials
Analytic and univalent functions
coefficient bounds
subordination
Error Locating Codes By Using BlockwiseTensor Product of Blockwise Detecting/Correcting Codes
2
2
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 subblock. An example of such a code is provided. We introduce blockwisetensor product of matrices and using this, we propose classes of error locating codes (or ELcodes) that can detect $e$ or less errors within a subblock and locate several such corrupted subblocks.
1

6
17


Pankaj Kumar
Das
Department of Mathematical Sciences, Tezpur University, Napaam, Tezpur,
Assam 784028, India
Department of Mathematical Sciences, Tezpur
India
pankaj4thapril@yahoo.co.in


Lalit K.
Vashisht
Department of Mathematics, University of Delhi, Delhi110007, India
Department of Mathematics, University of
India
lalitkvashisht@gmail.com
Syndromes
parity check digits
blockwise codes
burst
error locating codes
tensor product
On the Ranks of Finite Simple Groups
2
2
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.
1

18
24


Ayoub
Basheer
Department of Mathematical Sciences, NorthWest University (Mafikeng),
P Bag X2046, Mmabatho 2735, South Africa.
Department of Mathematical Sciences, NorthWest
South Africa
ayoubbasheer@gmail.com, ayoub.basheer@nwu.ac.za


Jamshid
Moori
Department of Mathematical Sciences, NorthWest University (Mafikeng),
P Bag X2046, Mmabatho 2735, South Africa.
Department of Mathematical Sciences, NorthWest
South Africa
jamshid.moori@nwu.ac.za
Conjugacy classes
rank
generation
simple groups
sporadic groups
On Some Generalized Spaces of Interval Numbers with an Infinite Matrix and MusielakOrlicz Function
2
2
In the present paper we introduce and study some generalized $I$convergent sequence spaces of interval numbers defined by an infinite matrix and a MusielakOrlicz function. We also make an effort to study some topological and algebraic properties of these spaces.
1

25
38


Kuldip
Raj
Department of Mathematics, Shri Mata Vaishno Devi University, Katra
182320, J & K (India).
Department of Mathematics, Shri Mata Vaishno
India
kuldipraj68@gmail.com


Suruchi
Pandoh
Department of Mathematics, Shri Mata Vaishno Devi University, Katra
182320, J & K (India).
Department of Mathematics, Shri Mata Vaishno
India
suruchi.pandoh87@gmail.com
idealconvergence
Λconvergence
interval number
Orlicz function
difference sequence
AbelSchur Multipliers on Banach Spaces of Infinite Matrices
2
2
We consider a more general class than the class of Schur multipliers namely the AbelSchur 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.
1

39
50


Nicolae
Popa
Institute of Mathematics of Romanian Academy, P.O. BOX 1–764 RO–014700
Bucharest, ROMANIA.
Institute of Mathematics of Romanian Academy,
Romania
npopa@imar.ro
AbelSchur multipliers
Schur multipliers
Toeplitz matrices
Bloch space of matrices
Periodicity and Stability in Nonlinear Neutral Dynamic Equations with Infinite Delay on a Time Scale
2
2
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(tg(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].
1

51
62


Abdelouaheb
Ardjouni
Department of Mathematics and Informatics, University of Souk Ahras, P.O.Box 1553, Souk Ahras, 41000, Algeria.
Department of Mathematics and Informatics,
Algeria
abd_ardjouni@yahoo.fr


Ahcene
Djoudi
Department of Mathematics, University of Annaba, P.O. Box 12, Annaba
23000, Algeria.
Department of Mathematics, University of
Algeria
adjoudi@yahoo.com
fixed point
infinite delay
time scales
periodic solution
Stability
ZygmundType Inequalities for an Operator Preserving Inequalities Between Polynomials
2
2
In this paper, we present certain new $L_p$ inequalities for $mathcal B_{n}$operators which include some known polynomial inequalities as special cases.
1

63
80


Nisar Ahmad
Rather
Department of Mathematics, University of Kashmir, Hazratbal, Sringar,
India.
Department of Mathematics, University of
India
dr.narather@gmail.com


Suhail
Gulzar
Islamic University of Science & Technology Awantipora, Kashmir, India.
Islamic University of Science & Technology
India
sgmattoo@gmail.com


Khursheed Ahmad
Thakur
Department of Mathematics, S. P. College, Sringar, India.
Department of Mathematics, S. P. College,
India
thakurkhursheed@gmail.com
$L^{p}$ inequalities
$mathcal B_n$operators
polynomials
Closed Graph Theorems for Bornological Spaces
2
2
The aim of this paper is that of discussing closed graph theorems for bornological vector spaces in a selfcontained way, hoping to make the subject more accessible to nonexperts. 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, nontrivially valued field, hence encompassing the nonArchimedean case too. We will end this survey by discussing some applications. In particular, we will prove De Wilde's Theorem for nonArchimedean 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 nonArchimedean.
1

81
111


Federico
Bambozzi
Fakultät für Mathematik, Universität Regensburg, 93040 Regensburg, Germany
Fakultät für Mathematik, Universitä
Germany
federico.bambozzi@mathematik.uniregensburg.de
Functional Analysis
Bornological spaces
open mapping and closed graph theorems