2018-03-17T14:07:52Z
http://www.kjm-math.org/?_action=export&rf=summon&issue=6202
Khayyam Journal of Mathematics
Khayyam J. Math.
2017
3
2
Approximation with Certain Szász–Mirakyan Operators
Vijay
Gupta
Neha
Malik
In the current article, we consider different growth conditions for studying the well known Szász–Mirakyan operators, which were introduced in the mid-twentieth 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.
Szász–Mirakyan operators
exponential functions
moment generating functions
quantitative results
2017
10
01
90
97
http://www.kjm-math.org/article_47347_349e693afa93543a2ebdafa3c02235d6.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2017
3
2
New Inequalities of Hermite-Hadamard Type for Log-Convex Functions
Silvestru
Dragomir
Some new inequalities of Hermite-Hadamard type for log-convex functions defined on real intervals are given.
Convex functions
integral inequalities
log-convex functions
2017
10
01
98
115
http://www.kjm-math.org/article_47458_6bd0985d105bd8a56c401a3485e4ff7a.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2017
3
2
Linear Preservers of Right SGUT-Majorization on $mathbb{R}_{n}$
Ahmad
Mohammadhasani
Asma
Ilkhanizadeh Manesh
A matrix $R$ is called a $textit{generalized row substochastic}$ (g-row 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 $textit{rsgut-majorized}$ by $y$ (denoted by $ x prec_{rsgut} y$ ) if there exists an $n$-by-$n$ upper triangular g-row substochastic matrix $R$ such that $x=yR$. In the present paper, we characterize the linear preservers and strong linear preservers of rsgut-majorization on$mathbb{R}_{n}$.
Linear preserver
g-row substochastic matrix
rsgut-majorization
strong linear preserver
2017
10
01
116
133
http://www.kjm-math.org/article_49229_e0124f663440f696b19d3f546bd5959d.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2017
3
2
A Class of Sequence Spaces Defined by Fractional Difference Operator and Modulus Function
Parmeshwary
Srivastava
Sanjay
Mahto
A class of vector-valued sequence spaces is introduced employing the fractional difference operator $Delta^{(alpha)}$, a sequence of modulus functions and a non-negative 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.
Sequence space
fractional difference operator
modulus function
paranorm
2017
10
01
134
146
http://www.kjm-math.org/article_49370_54cd14a2f2f2a52be1bad55c2675a048.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2017
3
2
Approximation by Stancu Type Generalized Srivastava-Gupta Operators Based On Certain Parameter
Alok
Kumar
In the present paper, we introduce a Stancu type generalization of generalized Srivastava-Gupta 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 point-wise estimates using the Lipschitz type maximal function. Lastly, we propose a King type modification of these operators to obtain better estimates.
Srivastava-Gupta operators
modulus of continuity
rate of convergence
weighted approximation
Voronovskaja type asymptotic formula
2017
10
01
147
159
http://www.kjm-math.org/article_49477_c721b3df5855b11df8c43e7511792c97.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2017
3
2
Strong Differential Subordinations for Higher-Order Derivatives of Multivalent Analytic Functions Defined by Linear Operator
Abbas Kareem
Wanas
Abdulrahman
Majeed
In the present paper, we introduce and study a new class of higher-order 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 higher-order derivatives of multivalent analytic functions.
Analytic functions
strong differential subordinations
convex function
higher-order derivatives
linear operator
2017
10
01
160
171
http://www.kjm-math.org/article_50396_3a9c595bf4db80f7a65ddc44ceca0cc6.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2017
3
2
Holomorphic Structure of Middle Bol Loops
Temitope
Jaiyeola
Sunday
David
Emmanuel
Ilojide
Yakubu
Oyebo
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.
holomorph of loop
Bol loops
middle Bol loops
2017
10
01
172
184
http://www.kjm-math.org/article_51111_86a46ee60fe8a3b704ee4a6151be54ec.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2017
3
2
New Properties Under Generalized Contractive Conditions
Hakima
Bouhadjera
The aim of this contribution is to establish some common fixed pointtheorems for single and set-valued 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 non-compatible and non-$delta$-compatible maps in the setting ofsymmetric spaces.
Weakly compatible maps
non-δ-compatible maps
properties $(E.A)$
$(H_{E})$
$(HB.1)$ and $(HB.2)$
common fixed point theorems
symmetric space
2017
10
01
185
194
http://www.kjm-math.org/article_51180_2a8c3210f59743054d2de1df31c38635.pdf