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)
Khayyam Journal of Mathematics
2423-4788
3
2
2017
10
01
Approximation with Certain Szász–Mirakyan Operators
90
97
EN
Vijay
Gupta
Department of Mathematics, Netaji Subhas Institute of Technology, Sector
3 Dwarka, New Delhi-110078, India.
vijaygupta2001@hotmail.com
Neha
Malik
Department of Mathematics, Netaji Subhas Institute of Technology, Sector
3 Dwarka, New Delhi-110078, India.
neha.malik_nm@yahoo.com
10.22034/kjm.2017.47347
In the current article, we consider different growth conditions for studying the well known <span>Szász</span><span>–</span><span>Mirakyan</span> 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
http://www.kjm-math.org/article_47347.html
http://www.kjm-math.org/article_47347_349e693afa93543a2ebdafa3c02235d6.pdf
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)
Khayyam Journal of Mathematics
2423-4788
3
2
2017
10
01
New Inequalities of Hermite-Hadamard Type for Log-Convex Functions
98
115
EN
Silvestru
Sever
Dragomir
0000-0003-2902-6805
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.
sever.dragomir@vu.edu.au
10.22034/kjm.2017.47458
Some new inequalities of Hermite-Hadamard type for log-convex functions defined on real intervals are given.
Convex functions,integral inequalities,log-convex functions
http://www.kjm-math.org/article_47458.html
http://www.kjm-math.org/article_47458_6bd0985d105bd8a56c401a3485e4ff7a.pdf
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)
Khayyam Journal of Mathematics
2423-4788
3
2
2017
10
01
Linear Preservers of Right SGUT-Majorization on $mathbb{R}_{n}$
116
133
EN
Ahmad
Mohammadhasani
Department of Mathematics, Sirjan University of Technology, Sirjan, Iran.
a.mohammadhasani53@gmail.com
Asma
Ilkhanizadeh Manesh
Department of Mathematics, Vali-e-Asr University of Rafsanjan, P.O.Box:
7713936417, Rafsanjan, Iran.
a.ilkhani@vru.ac.ir
10.22034/kjm.2017.49229
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<br />$mathbb{R}_{n}$.
Linear preserver,g-row substochastic matrix,rsgut-majorization,strong linear preserver
http://www.kjm-math.org/article_49229.html
http://www.kjm-math.org/article_49229_e0124f663440f696b19d3f546bd5959d.pdf
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)
Khayyam Journal of Mathematics
2423-4788
3
2
2017
10
01
A Class of Sequence Spaces Defined by Fractional Difference Operator and Modulus Function
134
146
EN
Parmeshwary
Dayal
Srivastava
Department of Mathematics, Indian Institute of Technology, Kharagpur
721302, India.
pds@maths.iitkgp.ernet.in
Sanjay
Kumar
Mahto
Department of Mathematics, Indian Institute of Technology, Kharagpur
721302, India.
skmahto0777@gmail.com
10.22034/kjm.2017.49370
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
http://www.kjm-math.org/article_49370.html
http://www.kjm-math.org/article_49370_54cd14a2f2f2a52be1bad55c2675a048.pdf
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)
Khayyam Journal of Mathematics
2423-4788
3
2
2017
10
01
Approximation by Stancu Type Generalized Srivastava-Gupta Operators Based On Certain Parameter
147
159
EN
Alok
Kumar
0000-0002-5171-1393
Department of Computer Science, Dev Sanskriti Vishwavidyalaya, Haridwar-
249411, Uttarakhand, India.
alokkpma@gmail.com
10.22034/kjm.2017.49477
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
http://www.kjm-math.org/article_49477.html
http://www.kjm-math.org/article_49477_c721b3df5855b11df8c43e7511792c97.pdf
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)
Khayyam Journal of Mathematics
2423-4788
3
2
2017
10
01
Strong Differential Subordinations for Higher-Order Derivatives of Multivalent Analytic Functions Defined by Linear Operator
160
171
EN
Abbas Kareem
Wanas
Department of Mathematics, College of Science, Baghdad University, Iraq.
abbas.kareem.w@qu.edu.iq
Abdulrahman
H.
Majeed
Department of Mathematics, College of Science, Baghdad University, Iraq.
ahmajeed6@yahoo.com
10.22034/kjm.2017.50396
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
http://www.kjm-math.org/article_50396.html
http://www.kjm-math.org/article_50396_3a9c595bf4db80f7a65ddc44ceca0cc6.pdf
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)
Khayyam Journal of Mathematics
2423-4788
3
2
2017
10
01
Holomorphic Structure of Middle Bol Loops
172
184
EN
Temitope
Gbolahan
Jaiyeola
0000-0002-8695-5478
Department Of Mathematics, Faculty of Science, Obafemi Awolowo University,
Ile-Ife, Nigeria.
tjayeola@oauife.edu.ng
Sunday
Peter
David
Department Of Mathematics, Faculty of Science, Obafemi Awolowo University, Ile-Ife, Nigeria
davidsp4ril@yahoo.com
Emmanuel
Ilojide
Department Of Mathematics, College of Physical Sciences,
Federal University of Agriculture, Abeokuta, Nigeria.
emmailojide@yahoo.com
Yakubu
Tunde
Oyebo
Department Of Mathematics, Faculty of Science, Lagos State University, Lagos, Nigeria.
yakub.oyebo@lasu.edu.ng
10.22034/kjm.2017.51111
A loop $(Q,cdot,backslash,/)$ is called a middle Bol loop if it obeys the identity $x(yzbackslash x)=(x/z)(ybackslash x)$.<br />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
http://www.kjm-math.org/article_51111.html
http://www.kjm-math.org/article_51111_86a46ee60fe8a3b704ee4a6151be54ec.pdf
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)
Khayyam Journal of Mathematics
2423-4788
3
2
2017
10
01
New Properties Under Generalized Contractive Conditions
185
194
EN
Hakima
Bouhadjera
Laboratory of Applied Mathematics
Badji Mokhtar-Annaba University
P.O. Box 12, 23000 Annaba, Algeria
b_hakima2000@yahoo.fr
10.22034/kjm.2017.51180
The aim of this contribution is to establish some common fixed point<br />theorems for single and set-valued maps under contractive conditions of<br />integral type on a symmetric space. These maps are assumed to satisfy new<br />properties which extend the results of Aliouche [3], Aamri and El<br />Moutawakil [2] and references therein, also they generalize the<br />notion of non-compatible and non-$delta$-compatible maps in the setting of<br />symmetric spaces.
Weakly compatible maps,non-δ-compatible maps,properties $(E.A)$,$(H_{E})$,$(HB.1)$ and $(HB.2)$,common fixed point theorems,symmetric space
http://www.kjm-math.org/article_51180.html
http://www.kjm-math.org/article_51180_2a8c3210f59743054d2de1df31c38635.pdf