Approximation with Certain Szász–Mirakyan Operators
Vijay
Gupta
Department of Mathematics, Netaji Subhas Institute of Technology, Sector
3 Dwarka, New Delhi-110078, India.
author
Neha
Malik
Department of Mathematics, Netaji Subhas Institute of Technology, Sector
3 Dwarka, New Delhi-110078, India.
author
text
article
2017
eng
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.
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
3
v.
2
no.
2017
90
97
http://www.kjm-math.org/article_47347_349e693afa93543a2ebdafa3c02235d6.pdf
dx.doi.org/10.22034/kjm.2017.47347
New Inequalities of Hermite-Hadamard Type for Log-Convex Functions
Silvestru
Dragomir
1-Mathematics, College of Engineering & Science, Victoria University, PO
Box 14428, Melbourne City, MC 8001, Australia.
2-DST-NRF Centre of Excellence in the Mathematical and Statistical Sciences, School of Computational & Applied Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050, South Africa.
author
text
article
2017
eng
Some new inequalities of Hermite-Hadamard type for log-convex functions defined on real intervals are given.
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
3
v.
2
no.
2017
98
115
http://www.kjm-math.org/article_47458_6bd0985d105bd8a56c401a3485e4ff7a.pdf
dx.doi.org/10.22034/kjm.2017.47458
Linear Preservers of Right SGUT-Majorization on $\mathbb{R}_{n}$
Ahmad
Mohammadhasani
Department of Mathematics, Sirjan University of Technology, Sirjan, Iran.
author
Asma
Ilkhanizadeh Manesh
Department of Mathematics, Vali-e-Asr University of Rafsanjan, P.O.Box:
7713936417, Rafsanjan, Iran.
author
text
article
2017
eng
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$\mathbb{R}_{n}$.
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
3
v.
2
no.
2017
116
133
http://www.kjm-math.org/article_49229_e0124f663440f696b19d3f546bd5959d.pdf
dx.doi.org/10.22034/kjm.2017.49229
A Class of Sequence Spaces Defined by Fractional Difference Operator and Modulus Function
Parmeshwary
Srivastava
Department of Mathematics, Indian Institute of Technology, Kharagpur
721302, India.
author
Sanjay
Mahto
Department of Mathematics, Indian Institute of Technology, Kharagpur
721302, India.
author
text
article
2017
eng
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.
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
3
v.
2
no.
2017
134
146
http://www.kjm-math.org/article_49370_54cd14a2f2f2a52be1bad55c2675a048.pdf
dx.doi.org/10.22034/kjm.2017.49370
Approximation by Stancu Type Generalized Srivastava-Gupta Operators Based On Certain Parameter
Alok
Kumar
Department of Computer Science, Dev Sanskriti Vishwavidyalaya, Haridwar-
249411, Uttarakhand, India.
author
text
article
2017
eng
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.
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
3
v.
2
no.
2017
147
159
http://www.kjm-math.org/article_49477_c721b3df5855b11df8c43e7511792c97.pdf
dx.doi.org/10.22034/kjm.2017.49477
Strong Differential Subordinations for Higher-Order Derivatives of Multivalent Analytic Functions Defined by Linear Operator
Abbas Kareem
Wanas
Department of Mathematics, College of Science, Baghdad University, Iraq.
author
Abdulrahman
Majeed
Department of Mathematics, College of Science, Baghdad University, Iraq.
author
text
article
2017
eng
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.
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
3
v.
2
no.
2017
160
171
http://www.kjm-math.org/article_50396_3a9c595bf4db80f7a65ddc44ceca0cc6.pdf
dx.doi.org/10.22034/kjm.2017.50396
Holomorphic Structure of Middle Bol Loops
Temitope
Jaiyeola
Department Of Mathematics, Faculty of Science, Obafemi Awolowo University,
Ile-Ife, Nigeria.
author
Sunday
David
Department Of Mathematics, Faculty of Science, Obafemi Awolowo University, Ile-Ife, Nigeria
author
Emmanuel
Ilojide
Department Of Mathematics, College of Physical Sciences,
Federal University of Agriculture, Abeokuta, Nigeria.
author
Yakubu
Oyebo
Department Of Mathematics, Faculty of Science, Lagos State University, Lagos, Nigeria.
author
text
article
2017
eng
A loop $(Q,\cdot,\backslash,/)$ is called a middle Bol loop if it obeys the identity $x(yz\backslash x)=(x/z)(y\backslash x)$.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.
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
3
v.
2
no.
2017
172
184
http://www.kjm-math.org/article_51111_86a46ee60fe8a3b704ee4a6151be54ec.pdf
dx.doi.org/10.22034/kjm.2017.51111
New Properties Under Generalized Contractive Conditions
Hakima
Bouhadjera
Laboratory of Applied Mathematics
Badji Mokhtar-Annaba University
P.O. Box 12, 23000 Annaba, Algeria
author
text
article
2017
eng
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.
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
3
v.
2
no.
2017
185
194
http://www.kjm-math.org/article_51180_2a8c3210f59743054d2de1df31c38635.pdf
dx.doi.org/10.22034/kjm.2017.51180