2017
3
2
2
105
Approximation with Certain Szász–Mirakyan Operators
2
2
In the current article, we consider different growth conditions for studying the well known Szász–Mirakyan operators, which were introduced in the midtwentieth century. Here, we obtain a new approach to find the moments using the concept of moment generating functions. Further, we discuss a uniform estimate and compare convergence behavior with the recently studied one.
1

90
97


Vijay
Gupta
Department of Mathematics, Netaji Subhas Institute of Technology, Sector
3 Dwarka, New Delhi110078, India.
Department of Mathematics, Netaji Subhas
India
vijaygupta2001@hotmail.com


Neha
Malik
Department of Mathematics, Netaji Subhas Institute of Technology, Sector
3 Dwarka, New Delhi110078, India.
Department of Mathematics, Netaji Subhas
India
neha.malik_nm@yahoo.com
Szász–Mirakyan operators
exponential functions
moment generating functions
quantitative results
New Inequalities of HermiteHadamard Type for LogConvex Functions
2
2
Some new inequalities of HermiteHadamard type for logconvex functions defined on real intervals are given.
1

98
115


Silvestru
Dragomir
1Mathematics, College of Engineering & Science, Victoria University, PO
Box 14428, Melbourne City, MC 8001, Australia.
2DSTNRF Centre of Excellence in the Mathematical and Statistical Sciences, School of Computational & Applied Mathematic
1Mathematics, College of Engineering &
Australia
sever.dragomir@vu.edu.au
Convex functions
integral inequalities
logconvex functions
Linear Preservers of Right SGUTMajorization on $mathbb{R}_{n}$
2
2
A matrix $R$ is called a $textit{generalized row substochastic}$ (grow substochastic) if the sum of entries on every row of $R$ is less than or equal to one. For $x$, $y in mathbb{R}_{n}$, it is said that $x$ is $textit{rsgutmajorized}$ by $y$ (denoted by $ x prec_{rsgut} y$ ) if there exists an $n$by$n$ upper triangular grow substochastic matrix $R$ such that $x=yR$. In the present paper, we characterize the linear preservers and strong linear preservers of rsgutmajorization on$mathbb{R}_{n}$.
1

116
133


Ahmad
Mohammadhasani
Department of Mathematics, Sirjan University of Technology, Sirjan, Iran.
Department of Mathematics, Sirjan University
Iran
a.mohammadhasani53@gmail.com


Asma
Ilkhanizadeh Manesh
Department of Mathematics, ValieAsr University of Rafsanjan, P.O.Box:
7713936417, Rafsanjan, Iran.
Department of Mathematics, ValieAsr University
Iran
a.ilkhani@vru.ac.ir
Linear preserver
grow substochastic matrix
rsgutmajorization
strong linear preserver
A Class of Sequence Spaces Defined by Fractional Difference Operator and Modulus Function
2
2
A class of vectorvalued sequence spaces is introduced employing the fractional difference operator $Delta^{(alpha)}$, a sequence of modulus functions and a nonnegative infinite matrix. Sequence spaces of this class generalize many sequence spaces which are defined by difference operators and modulus functions. It is proved that the spaces of this class are complete paranormed spaces under certain conditions. Some properties of these spaces are studied and it is shown that the spaces are not solid in general.
1

134
146


Parmeshwary
Srivastava
Department of Mathematics, Indian Institute of Technology, Kharagpur
721302, India.
Department of Mathematics, Indian Institute
India
pds@maths.iitkgp.ernet.in


Sanjay
Mahto
Department of Mathematics, Indian Institute of Technology, Kharagpur
721302, India.
Department of Mathematics, Indian Institute
India
skmahto0777@gmail.com
Sequence space
fractional difference operator
modulus function
paranorm
Approximation by Stancu Type Generalized SrivastavaGupta Operators Based On Certain Parameter
2
2
In the present paper, we introduce a Stancu type generalization of generalized SrivastavaGupta operators based on certain parameter. We obtain the moments of the operators and then prove the basic convergence theorem. Next, the Voronovskaja type asymptotic formula and some direct results for the above operators are discussed. Also, weighted approximation and rate of convergence by these operators in terms of modulus of continuity are studied. Then, we obtain pointwise estimates using the Lipschitz type maximal function. Lastly, we propose a King type modification of these operators to obtain better estimates.
1

147
159


Alok
Kumar
Department of Computer Science, Dev Sanskriti Vishwavidyalaya, Haridwar
249411, Uttarakhand, India.
Department of Computer Science, Dev Sanskriti
India
alokkpma@gmail.com
SrivastavaGupta operators
Modulus of continuity
Rate of convergence
Weighted approximation
Voronovskaja type asymptotic formula
Strong Differential Subordinations for HigherOrder Derivatives of Multivalent Analytic Functions Defined by Linear Operator
2
2
In the present paper, we introduce and study a new class of higherorder derivatives multivalent analytic functions in the open unit disk and closed unit disk of the complex plane by using linear operator. Also we obtain some interesting properties of this class and discuss several strong differential subordinations for higherorder derivatives of multivalent analytic functions.
1

160
171


Abbas Kareem
Wanas
Department of Mathematics, College of Science, Baghdad University, Iraq.
Department of Mathematics, College of Science,
Iraq
abbas.kareem.w@qu.edu.iq


Abdulrahman
Majeed
Department of Mathematics, College of Science, Baghdad University, Iraq.
Department of Mathematics, College of Science,
Iraq
ahmajeed6@yahoo.com
Analytic functions
strong differential subordinations
convex function
higherorder derivatives
linear operator
Holomorphic Structure of Middle Bol Loops
2
2
A loop $(Q,cdot,backslash,/)$ is called a middle Bol loop if it obeys the identity $x(yzbackslash x)=(x/z)(ybackslash x)$.To every right (left) Bol loop corresponds a middle Bol loop via an isostrophism. In this paper, the structure of the holomorph of a middle Bol loop is explored. For some special types of automorphisms, the holomorph of a commutative loop is shown to be a commutative middle Bol loop if and only if the loop is a middle Bol loop and its automorphism group is abelian and a subgroup of both the group of middle regular mappings and the right multiplication group. It was found that commutativity (flexibility) is a necessary and sufficient condition for holomorphic invariance under the existing isostrophy between middle Bol loops and the corresponding right (left) Bol loops. The right combined holomorph of a middle Bol loop and its corresponding right (left) Bol loop was shown to be equal to the holomorph of the middle Bol loop if and only if the automorphism group is abelian and a subgroup of the multiplication group of the middle Bol loop. The obedience of an identity dependent on automorphisms was found to be a necessary and sufficient condition for the left combined holomorph of a middle Bol loop and its corresponding left Bol loop to be equal to the holomorph of the middle Bol loop.
1

172
184


Temitope
Jaiyeola
Department Of Mathematics, Faculty of Science, Obafemi Awolowo University,
IleIfe, Nigeria.
Department Of Mathematics, Faculty of Science,
Nigeria
tjayeola@oauife.edu.ng


Sunday
David
Department Of Mathematics, Faculty of Science, Obafemi Awolowo University, IleIfe, Nigeria
Department Of Mathematics, Faculty of Science,
Nigeria
davidsp4ril@yahoo.com


Emmanuel
Ilojide
Department Of Mathematics, College of Physical Sciences,
Federal University of Agriculture, Abeokuta, Nigeria.
Department Of Mathematics, College of Physical
Nigeria
emmailojide@yahoo.com


Yakubu
Oyebo
Department Of Mathematics, Faculty of Science, Lagos State University, Lagos, Nigeria.
Department Of Mathematics, Faculty of Science,
Nigeria
yakub.oyebo@lasu.edu.ng
holomorph of loop
Bol loops
middle Bol loops
New Properties Under Generalized Contractive Conditions
2
2
The aim of this contribution is to establish some common fixed pointtheorems for single and setvalued maps under contractive conditions ofintegral type on a symmetric space. These maps are assumed to satisfy newproperties which extend the results of Aliouche [3], Aamri and ElMoutawakil [2] and references therein, also they generalize thenotion of noncompatible and non$delta$compatible maps in the setting ofsymmetric spaces.
1

185
194


Hakima
Bouhadjera
Laboratory of Applied Mathematics
Badji MokhtarAnnaba University
P.O. Box 12, 23000 Annaba, Algeria
Laboratory of Applied Mathematics
Badji MokhtarAn
Algeria
b_hakima2000@yahoo.fr
Weakly compatible maps
nonδcompatible maps
properties $(E.A)$
$(H_{E})$
$(HB.1)$ and $(HB.2)$
common fixed point theorems
symmetric space