ORIGINAL_ARTICLE
Approximation with Certain Szász–Mirakyan Operators
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.
http://www.kjm-math.org/article_47347_349e693afa93543a2ebdafa3c02235d6.pdf
2017-10-01T11:23:20
2020-10-01T11:23:20
90
97
10.22034/kjm.2017.47347
Szász–Mirakyan operators
exponential functions
moment generating functions
quantitative results
Vijay
Gupta
vijaygupta2001@hotmail.com
true
1
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.
Department of Mathematics, Netaji Subhas Institute of Technology, Sector 3 Dwarka, New Delhi-110078, India.
AUTHOR
Neha
Malik
neha.malik_nm@yahoo.com
true
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.
Department of Mathematics, Netaji Subhas Institute of Technology, Sector 3 Dwarka, New Delhi-110078, India.
LEAD_AUTHOR
ORIGINAL_ARTICLE
New Inequalities of Hermite-Hadamard Type for Log-Convex Functions
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
2017-10-01T11:23:20
2020-10-01T11:23:20
98
115
10.22034/kjm.2017.47458
Convex functions
integral inequalities
log-convex functions
Silvestru
Dragomir
sever.dragomir@vu.edu.au
true
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.
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.
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.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Linear Preservers of Right SGUT-Majorization on $\mathbb{R}_{n}$
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$\mathbb{R}_{n}$.
http://www.kjm-math.org/article_49229_e0124f663440f696b19d3f546bd5959d.pdf
2017-10-01T11:23:20
2020-10-01T11:23:20
116
133
10.22034/kjm.2017.49229
Linear preserver
g-row substochastic matrix
rsgut-majorization
strong linear preserver
Ahmad
Mohammadhasani
a.mohammadhasani53@gmail.com
true
1
Department of Mathematics, Sirjan University of Technology, Sirjan, Iran.
Department of Mathematics, Sirjan University of Technology, Sirjan, Iran.
Department of Mathematics, Sirjan University of Technology, Sirjan, Iran.
AUTHOR
Asma
Ilkhanizadeh Manesh
a.ilkhani@vru.ac.ir
true
2
Department of Mathematics, Vali-e-Asr University of Rafsanjan, P.O.Box: 7713936417, Rafsanjan, Iran.
Department of Mathematics, Vali-e-Asr University of Rafsanjan, P.O.Box: 7713936417, Rafsanjan, Iran.
Department of Mathematics, Vali-e-Asr University of Rafsanjan, P.O.Box: 7713936417, Rafsanjan, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
A Class of Sequence Spaces Defined by Fractional Difference Operator and Modulus Function
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
2017-10-01T11:23:20
2020-10-01T11:23:20
134
146
10.22034/kjm.2017.49370
Sequence space
fractional difference operator
modulus function
paranorm
Parmeshwary
Srivastava
pds@maths.iitkgp.ernet.in
true
1
Department of Mathematics, Indian Institute of Technology, Kharagpur 721302, India.
Department of Mathematics, Indian Institute of Technology, Kharagpur 721302, India.
Department of Mathematics, Indian Institute of Technology, Kharagpur 721302, India.
AUTHOR
Sanjay
Mahto
skmahto0777@gmail.com
true
2
Department of Mathematics, Indian Institute of Technology, Kharagpur 721302, India.
Department of Mathematics, Indian Institute of Technology, Kharagpur 721302, India.
Department of Mathematics, Indian Institute of Technology, Kharagpur 721302, India.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Approximation by Stancu Type Generalized Srivastava-Gupta Operators Based On Certain Parameter
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
2017-10-01T11:23:20
2020-10-01T11:23:20
147
159
10.22034/kjm.2017.49477
Srivastava-Gupta operators
Modulus of continuity
Rate of convergence
Weighted approximation
Voronovskaja type asymptotic formula
Alok
Kumar
alokkpma@gmail.com
true
1
Department of Computer Science, Dev Sanskriti Vishwavidyalaya, Haridwar- 249411, Uttarakhand, India.
Department of Computer Science, Dev Sanskriti Vishwavidyalaya, Haridwar- 249411, Uttarakhand, India.
Department of Computer Science, Dev Sanskriti Vishwavidyalaya, Haridwar- 249411, Uttarakhand, India.
AUTHOR
ORIGINAL_ARTICLE
Strong Differential Subordinations for Higher-Order Derivatives of Multivalent Analytic Functions Defined by Linear Operator
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
2017-10-01T11:23:20
2020-10-01T11:23:20
160
171
10.22034/kjm.2017.50396
Analytic functions
strong differential subordinations
convex function
higher-order derivatives
linear operator
Abbas Kareem
Wanas
abbas.kareem.w@qu.edu.iq
true
1
Department of Mathematics, College of Science, Baghdad University, Iraq.
Department of Mathematics, College of Science, Baghdad University, Iraq.
Department of Mathematics, College of Science, Baghdad University, Iraq.
LEAD_AUTHOR
Abdulrahman
Majeed
ahmajeed6@yahoo.com
true
2
Department of Mathematics, College of Science, Baghdad University, Iraq.
Department of Mathematics, College of Science, Baghdad University, Iraq.
Department of Mathematics, College of Science, Baghdad University, Iraq.
AUTHOR
ORIGINAL_ARTICLE
Holomorphic Structure of Middle Bol Loops
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.
http://www.kjm-math.org/article_51111_86a46ee60fe8a3b704ee4a6151be54ec.pdf
2017-10-01T11:23:20
2020-10-01T11:23:20
172
184
10.22034/kjm.2017.51111
holomorph of loop
Bol loops
middle Bol loops
Temitope
Jaiyeola
tjayeola@oauife.edu.ng
true
1
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, Faculty of Science, Obafemi Awolowo University, Ile-Ife, Nigeria.
LEAD_AUTHOR
Sunday
David
davidsp4ril@yahoo.com
true
2
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, Faculty of Science, Obafemi Awolowo University, Ile-Ife, Nigeria
AUTHOR
Emmanuel
Ilojide
emmailojide@yahoo.com
true
3
Department Of Mathematics, College of Physical Sciences, Federal University of Agriculture, Abeokuta, Nigeria.
Department Of Mathematics, College of Physical Sciences, Federal University of Agriculture, Abeokuta, Nigeria.
Department Of Mathematics, College of Physical Sciences, Federal University of Agriculture, Abeokuta, Nigeria.
AUTHOR
Yakubu
Oyebo
yakub.oyebo@lasu.edu.ng
true
4
Department Of Mathematics, Faculty of Science, Lagos State University, Lagos, Nigeria.
Department Of Mathematics, Faculty of Science, Lagos State University, Lagos, Nigeria.
Department Of Mathematics, Faculty of Science, Lagos State University, Lagos, Nigeria.
AUTHOR
ORIGINAL_ARTICLE
New Properties Under Generalized Contractive Conditions
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.
http://www.kjm-math.org/article_51180_2a8c3210f59743054d2de1df31c38635.pdf
2017-10-01T11:23:20
2020-10-01T11:23:20
185
194
10.22034/kjm.2017.51180
Weakly compatible maps
non-δ-compatible maps
properties $(E.A)$
$(H_{E})$
$(HB.1)$ and $(HB.2)$
common fixed point theorems
symmetric space
Hakima
Bouhadjera
b_hakima2000@yahoo.fr
true
1
Laboratory of Applied Mathematics Badji Mokhtar-Annaba University P.O. Box 12, 23000 Annaba, Algeria
Laboratory of Applied Mathematics Badji Mokhtar-Annaba University P.O. Box 12, 23000 Annaba, Algeria
Laboratory of Applied Mathematics Badji Mokhtar-Annaba University P.O. Box 12, 23000 Annaba, Algeria
LEAD_AUTHOR