eng
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
2423-4788
2017-10-01
3
2
90
97
10.22034/kjm.2017.47347
47347
Approximation with Certain Szász–Mirakyan Operators
Vijay Gupta
vijaygupta2001@hotmail.com
1
Neha Malik
neha.malik_nm@yahoo.com
2
Department of Mathematics, Netaji Subhas Institute of Technology, Sector 3 Dwarka, New Delhi-110078, India.
Department of Mathematics, Netaji Subhas Institute of Technology, Sector 3 Dwarka, New Delhi-110078, India.
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.
http://www.kjm-math.org/article_47347_349e693afa93543a2ebdafa3c02235d6.pdf
Szász–Mirakyan operators
exponential functions
moment generating functions
quantitative results
eng
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
2423-4788
2017-10-01
3
2
98
115
10.22034/kjm.2017.47458
47458
New Inequalities of Hermite-Hadamard Type for Log-Convex Functions
Silvestru Dragomir
sever.dragomir@vu.edu.au
1
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.
Some new inequalities of Hermite-Hadamard type for log-convex functions defined on real intervals are given.
http://www.kjm-math.org/article_47458_6bd0985d105bd8a56c401a3485e4ff7a.pdf
Convex functions
integral inequalities
log-convex functions
eng
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
2423-4788
2017-10-01
3
2
116
133
10.22034/kjm.2017.49229
49229
Linear Preservers of Right SGUT-Majorization on $mathbb{R}_{n}$
Ahmad Mohammadhasani
a.mohammadhasani53@gmail.com
1
Asma Ilkhanizadeh Manesh
a.ilkhani@vru.ac.ir
2
Department of Mathematics, Sirjan University of Technology, Sirjan, Iran.
Department of Mathematics, Vali-e-Asr University of Rafsanjan, P.O.Box: 7713936417, Rafsanjan, Iran.
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 />$mathbb{R}_{n}$.
http://www.kjm-math.org/article_49229_e0124f663440f696b19d3f546bd5959d.pdf
Linear preserver
g-row substochastic matrix
rsgut-majorization
strong linear preserver
eng
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
2423-4788
2017-10-01
3
2
134
146
10.22034/kjm.2017.49370
49370
A Class of Sequence Spaces Defined by Fractional Difference Operator and Modulus Function
Parmeshwary Srivastava
pds@maths.iitkgp.ernet.in
1
Sanjay Mahto
skmahto0777@gmail.com
2
Department of Mathematics, Indian Institute of Technology, Kharagpur 721302, India.
Department of Mathematics, Indian Institute of Technology, Kharagpur 721302, India.
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.
http://www.kjm-math.org/article_49370_54cd14a2f2f2a52be1bad55c2675a048.pdf
Sequence space
fractional difference operator
modulus function
paranorm
eng
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
2423-4788
2017-10-01
3
2
147
159
10.22034/kjm.2017.49477
49477
Approximation by Stancu Type Generalized Srivastava-Gupta Operators Based On Certain Parameter
Alok Kumar
alokkpma@gmail.com
1
Department of Computer Science, Dev Sanskriti Vishwavidyalaya, Haridwar- 249411, Uttarakhand, India.
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.
http://www.kjm-math.org/article_49477_c721b3df5855b11df8c43e7511792c97.pdf
Srivastava-Gupta operators
Modulus of continuity
Rate of convergence
Weighted approximation
Voronovskaja type asymptotic formula
eng
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
2423-4788
2017-10-01
3
2
160
171
10.22034/kjm.2017.50396
50396
Strong Differential Subordinations for Higher-Order Derivatives of Multivalent Analytic Functions Defined by Linear Operator
Abbas Kareem Wanas
abbas.kareem.w@qu.edu.iq
1
Abdulrahman Majeed
ahmajeed6@yahoo.com
2
Department of Mathematics, College of Science, Baghdad University, Iraq.
Department of Mathematics, College of Science, Baghdad University, Iraq.
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.
http://www.kjm-math.org/article_50396_3a9c595bf4db80f7a65ddc44ceca0cc6.pdf
Analytic functions
strong differential subordinations
convex function
higher-order derivatives
linear operator
eng
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
2423-4788
2017-10-01
3
2
172
184
10.22034/kjm.2017.51111
51111
Holomorphic Structure of Middle Bol Loops
Temitope Jaiyeola
tjayeola@oauife.edu.ng
1
Sunday David
davidsp4ril@yahoo.com
2
Emmanuel Ilojide
emmailojide@yahoo.com
3
Yakubu Oyebo
yakub.oyebo@lasu.edu.ng
4
Department Of Mathematics, Faculty of Science, Obafemi Awolowo University, Ile-Ife, Nigeria.
Department Of Mathematics, Faculty of Science, Obafemi Awolowo University, Ile-Ife, Nigeria
Department Of Mathematics, College of Physical Sciences, Federal University of Agriculture, Abeokuta, Nigeria.
Department Of Mathematics, Faculty of Science, Lagos State University, Lagos, Nigeria.
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.
http://www.kjm-math.org/article_51111_86a46ee60fe8a3b704ee4a6151be54ec.pdf
holomorph of loop
Bol loops
middle Bol loops
eng
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
2423-4788
2017-10-01
3
2
185
194
10.22034/kjm.2017.51180
51180
New Properties Under Generalized Contractive Conditions
Hakima Bouhadjera
b_hakima2000@yahoo.fr
1
Laboratory of Applied Mathematics Badji Mokhtar-Annaba University P.O. Box 12, 23000 Annaba, Algeria
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.
http://www.kjm-math.org/article_51180_2a8c3210f59743054d2de1df31c38635.pdf
Weakly compatible maps
non-δ-compatible maps
properties $(E.A)$
$(H_{E})$
$(HB.1)$ and $(HB.2)$
common fixed point theorems
symmetric space