ORIGINAL_ARTICLE
On a New Class of Bernstein Type Operators Based on Beta Function
We develop Bernstein type operators using the Beta function and study their approximation properties. By using Korovkin's theorem, we achieve the uniform convergence of sequences of these operators. We obtain the rate of convergence in terms of modulus of continuity and establish the Voronovskaja type asymptotic result for these operators. At last the graphical comparison of these newly defined operators with few of the fundamental but significant operators is discussed.
http://www.kjmmath.org/article_97090_cadb0c8d0798a9820fa3976ce509413e.pdf
20200101T11:23:20
20200229T11:23:20
1
15
10.22034/kjm.2019.97090
Beta function
Korovkin theorem
Modulus of continuity
Voronovskaya type result
Dhawal
Bhatt
dhawal.bhatt@sxca.edu.in
true
1
Applied Mathematics and Humanities Department, Sardar Vallabhbhai National Institute of Technology, Ichchhanath Mahadev Dumas Road, Surat395
007 (Gujarat), India.
Applied Mathematics and Humanities Department, Sardar Vallabhbhai National Institute of Technology, Ichchhanath Mahadev Dumas Road, Surat395
007 (Gujarat), India.
Applied Mathematics and Humanities Department, Sardar Vallabhbhai National Institute of Technology, Ichchhanath Mahadev Dumas Road, Surat395
007 (Gujarat), India.
AUTHOR
Vishnu
Mishra
vishnunarayanmishra@gmail.com
true
2
Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, (Madhya Pradesh) 484 887, India.
Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, (Madhya Pradesh) 484 887, India.
Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, (Madhya Pradesh) 484 887, India.
LEAD_AUTHOR
Ranjan
Jana
rkjana2003@yahoo.com
true
3
Applied Mathematics and Humanities Department, Sardar Vallabhbhai National Institute of Technology, Ichchhanath Mahadev Dumas Road, Surat395
007 (Gujarat), India.
Applied Mathematics and Humanities Department, Sardar Vallabhbhai National Institute of Technology, Ichchhanath Mahadev Dumas Road, Surat395
007 (Gujarat), India.
Applied Mathematics and Humanities Department, Sardar Vallabhbhai National Institute of Technology, Ichchhanath Mahadev Dumas Road, Surat395
007 (Gujarat), India.
AUTHOR
ORIGINAL_ARTICLE
Invariant Submanifolds of LPSasakian Manifolds
The object of the present paper is to study some geometric conditions for an invariant submanifold of an LPSasakian manifold to be totally geodesic. Further we consider concircular curvature tensor satisfying some geometric conditions of an invariant submanifold of an LPSasakian manifold to be totally geodesic. In extension, we build an example of LPSasakian manifold to verify our main result totally geodesic.
http://www.kjmmath.org/article_97091_d52712c3a0533f86645740d2df993eba.pdf
20200101T11:23:20
20200229T11:23:20
16
26
10.22034/kjm.2019.97091
Submanifold
LPSasakian manifold
concircular curvature tensor
Venkatesha
Venkatesha
vensmath@gmail.com
true
1
Department of Mathematics, Kuvempu University, Shankaraghatta577451, Karnataka, India.
Department of Mathematics, Kuvempu University, Shankaraghatta577451, Karnataka, India.
Department of Mathematics, Kuvempu University, Shankaraghatta577451, Karnataka, India.
LEAD_AUTHOR
Shanmukha
Basavarajappa
meshanmukha@gmail.com
true
2
Department of Mathematics, Kuvempu University, Shankaraghatta577451, Karnataka, India.
Department of Mathematics, Kuvempu University, Shankaraghatta577451, Karnataka, India.
Department of Mathematics, Kuvempu University, Shankaraghatta577451, Karnataka, India.
AUTHOR
ORIGINAL_ARTICLE
Various Energies of Commuting Graphs of Finite Nonabelian Groups
The commuting graph of a finite nonabelian group $G$ is a simple undirected graph, denoted by $\Gamma_G$, whose vertex set is the noncentral elements of $G$ and two distinct vertices $x$ and $y$ are adjacent if and only if $xy = yx$. In this paper, we compute energy, Laplacian energy, and signless Laplacian energy of $\Gamma_G$ for various families of finite nonabelian groups and analyze their values graphically. Our computations show that the conjecture posed in [MATCH Commun. Math. Comput. Chem. 59, (2008) 343354 ] holds for the commuting graph of some families of finite groups.
http://www.kjmmath.org/article_97094_19bea7eef79e328fcdc7ad5118452748.pdf
20200101T11:23:20
20200229T11:23:20
27
45
10.22034/kjm.2019.97094
Commuting graph
spectrum
Energy
finite group
Parama
Dutta
parama@gonitsora.com
true
1
Department of Mathematical Sciences, Tezpur University, Napaam 784028, Sonitpur, Assam, India.
Department of Mathematical Sciences, Tezpur University, Napaam 784028, Sonitpur, Assam, India.
Department of Mathematical Sciences, Tezpur University, Napaam 784028, Sonitpur, Assam, India.
AUTHOR
Biswadeep
Bagchi
biswadeepbagchi430@gmail.com
true
2
Department of Mathematical Sciences, Tezpur University, Napaam 784028, Sonitpur, Assam, India.
Department of Mathematical Sciences, Tezpur University, Napaam 784028, Sonitpur, Assam, India.
Department of Mathematical Sciences, Tezpur University, Napaam 784028, Sonitpur, Assam, India.
AUTHOR
Rajat
Nath
rajatkantinath@yahoo.com
true
3
Department of Mathematical Sciences, Tezpur University, Napaam 784028, Sonitpur, Assam, India.
Department of Mathematical Sciences, Tezpur University, Napaam 784028, Sonitpur, Assam, India.
Department of Mathematical Sciences, Tezpur University, Napaam 784028, Sonitpur, Assam, India.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Some Properties of Prime and ZSemiIdeals in Posets
We define the notion of zsemiideals in a poset $P$ and we show that if a zsemiideal $J$ satisfies $(\ast )$property, then every minimal prime semiideal containing $J$ is also a zsemiideal of $P.$ We also show that every prime semiideal is a zsemiideal or the maximal zsemiideals contained in it are prime zsemiideals. Further, we characterize some properties of union of prime semiideals of $P$ provided the prime semiideals are contained in the unique maximal semiideal of $P.$
http://www.kjmmath.org/article_97095_c7b4d571f0807aca269c3e30f1b3b35f.pdf
20200101T11:23:20
20200229T11:23:20
46
56
10.22034/kjm.2019.97095
Posets
semiideals
prime semiideals
minimal prime semiideals
msystem
Kasi
Porselvi
porselvi94@yahoo.co.in
true
1
Department of Mathematics, Karunya Institute of Technology and Sciences,
Coimbatore  641 114, India.
Department of Mathematics, Karunya Institute of Technology and Sciences,
Coimbatore  641 114, India.
Department of Mathematics, Karunya Institute of Technology and Sciences,
Coimbatore  641 114, India.
AUTHOR
Balasubramanian
Elavarasan
belavarasan@gmail.com
true
2
Department of Mathematics, Karunya Institute of Technology and Sciences,
Coimbatore  641 114, India.
Department of Mathematics, Karunya Institute of Technology and Sciences,
Coimbatore  641 114, India.
Department of Mathematics, Karunya Institute of Technology and Sciences,
Coimbatore  641 114, India.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Strongly Quasilinear Parabolic Systems in Divergence Form with Weak Monotonicity
The existence of solutions to the strongly quasilinear parabolic system\[\frac{\partial u}{\partial t}\text{div}\,\sigma(x,t,u,Du)+g(x,t,u,Du)=f,\]is proved, where the source term $f$ is assumed to belong to $L^{p'}(0,T; W^{1,p'}(\Omega;R^m))$. Further, we prove the existence of a weak solution by means of the Young measures under mild monotonicity assumptions on $\sigma$.
http://www.kjmmath.org/article_97170_c50bb41e07dca9346043d4702bb0d0b2.pdf
20200101T11:23:20
20200229T11:23:20
57
72
10.22034/kjm.2019.97170
Quasilinear parabolic systems
weak monotonicity
weak solution
Young measures
Elhoussine
Azroul
elhoussine.azroul@gmail.com
true
1
Department of Mathematics, Faculty of Sciences Dhar El Mehraz, B.P. 1796 Atlas, FezMorocco.
Department of Mathematics, Faculty of Sciences Dhar El Mehraz, B.P. 1796 Atlas, FezMorocco.
Department of Mathematics, Faculty of Sciences Dhar El Mehraz, B.P. 1796 Atlas, FezMorocco.
AUTHOR
Farah
Balaadich
balaadich.edp@gmail.com
true
2
Department of Mathematics, Faculty of Sciences Dhar El Mehraz, B.P. 1796 Atlas, FezMorocco.
Department of Mathematics, Faculty of Sciences Dhar El Mehraz, B.P. 1796 Atlas, FezMorocco.
Department of Mathematics, Faculty of Sciences Dhar El Mehraz, B.P. 1796 Atlas, FezMorocco.
LEAD_AUTHOR
ORIGINAL_ARTICLE
On Approximation of Functions Belonging to some Classes of Functions by $(N,p_n,q_n)(E,\theta )$ Means of Conjugate Series of Its Fourier Series
We obtain some new results on the approximation of functions belonging to some classes of functions by $(N,p_n,q_n)(E,\theta )$ means of conjugate series of its Fourier series. These results, under conditions assumed here, are better than those obtained previously by others. In addition, several particular results are derived from our results as corollaries.
http://www.kjmmath.org/article_97173_e5cbb8cc4f0476c8532b33b6a744e7ab.pdf
20200101T11:23:20
20200229T11:23:20
73
86
10.22034/kjm.2019.97173
Fourier series
generalized N"{o}rlund means
conjugate Fourier series
degree of approximation
Xhevat
Krasniqi
xhevat.krasniqi@unipr.edu
true
1
University of Prishtina "Hasan Prishtina", Faculty of Education, Department of Mathematics and Informatics, Avenue "Mother Theresa" 5, 10000 Prishtina, Kosovo.
University of Prishtina "Hasan Prishtina", Faculty of Education, Department of Mathematics and Informatics, Avenue "Mother Theresa" 5, 10000 Prishtina, Kosovo.
University of Prishtina "Hasan Prishtina", Faculty of Education, Department of Mathematics and Informatics, Avenue "Mother Theresa" 5, 10000 Prishtina, Kosovo.
LEAD_AUTHOR
Deepmala

dmrai23@gmail.com
true
2
Mathematics Discipline, PDPM Indian Institute of Information Technology,
Design and Manufacturing, Jabalpur, Dumna Airport Road, P.O.: Khamaria,
Jabalpur 482 005, Madhya Pradesh, India.
Mathematics Discipline, PDPM Indian Institute of Information Technology,
Design and Manufacturing, Jabalpur, Dumna Airport Road, P.O.: Khamaria,
Jabalpur 482 005, Madhya Pradesh, India.
Mathematics Discipline, PDPM Indian Institute of Information Technology,
Design and Manufacturing, Jabalpur, Dumna Airport Road, P.O.: Khamaria,
Jabalpur 482 005, Madhya Pradesh, India.
AUTHOR
ORIGINAL_ARTICLE
On Pair of Generalized Derivations in Rings
Let $R$ be an associative ring with extended centroid $C$, let $G$ and $F$ be generalized derivations of $R$ associated with nonzero derivations $\delta$ and $d$, respectively, and let $m, k, n \geq1$ be fixed integers. In the present paper, we study the situations: (i)$F(x)\circ_{m}G(y)=(x \circ_{n} y)^{k}$, (ii) $[F(x),y]_{m}+[x,d(y)]_{n}=0$ for all $y, x$ in some appropriate subset of $R$.
http://www.kjmmath.org/article_97174_d6600441ebda02c760dafc2171b8c9a6.pdf
20200101T11:23:20
20200229T11:23:20
87
94
10.22034/kjm.2019.97174
Prime rings
semiprime rings
generalized derivations
extended centroid
Asma
Ali
asma_ali2@rediffmail.com
true
1
Department of Mathematics, Aligarh Muslim University, Aligarh202002,
India.
Department of Mathematics, Aligarh Muslim University, Aligarh202002,
India.
Department of Mathematics, Aligarh Muslim University, Aligarh202002,
India.
LEAD_AUTHOR
Md
Rahaman
rahamanhamidmath@gmail.com
true
2
Department of Mathematics, Aligarh Muslim University, Aligarh202002,
India.
Department of Mathematics, Aligarh Muslim University, Aligarh202002,
India.
Department of Mathematics, Aligarh Muslim University, Aligarh202002,
India.
AUTHOR
ORIGINAL_ARTICLE
Approximating Solutions of ThirdOrder Nonlinear Hybrid Differential Equations via Dhage Iteration Principle
We prove the existence and approximation of solutions of the initial value problems of nonlinear thirdorder hybrid differential equations. The main tool employed here is the Dhage iteration principle in a partially ordered normed linear space. An example is also given to illustrate the main results.
http://www.kjmmath.org/article_97175_4f0895cb4388259d8103049f6f6095a4.pdf
20200101T11:23:20
20200229T11:23:20
95
103
10.22034/kjm.2019.97175
Approximating solutions
Initial value problems
Dhage iteration principle
hybrid fixed point theorem
Abdelouaheb
Ardjouni
abd_ardjouni@yahoo.fr
true
1
Faculty of Sciences and Technology, Department of Mathematics and Informatics, Souk Ahras University, P.O. Box 1553, Souk Ahras, 41000, Algeria.
Faculty of Sciences and Technology, Department of Mathematics and Informatics, Souk Ahras University, P.O. Box 1553, Souk Ahras, 41000, Algeria.
Faculty of Sciences and Technology, Department of Mathematics and Informatics, Souk Ahras University, P.O. Box 1553, Souk Ahras, 41000, Algeria.
LEAD_AUTHOR
Ahcene
Djoudi
adjoudi@yahoo.com
true
2
Applied Mathematics Lab, Faculty of Sciences, Department of Mathematics,
Annaba University, P.O. Box 12, Annaba, 23000, Algeria.
Applied Mathematics Lab, Faculty of Sciences, Department of Mathematics,
Annaba University, P.O. Box 12, Annaba, 23000, Algeria.
Applied Mathematics Lab, Faculty of Sciences, Department of Mathematics,
Annaba University, P.O. Box 12, Annaba, 23000, Algeria.
AUTHOR
ORIGINAL_ARTICLE
On the Norm of Jordan $*$Derivations
Let $\mathcal H$ be a complex Hilbert space and let $B(\mathcal H)$ be the algebra of all bounded linear operators on $\mathcal H$. Let $T\in\ B(\mathcal H)$.In this paper, we determine the norm of the inner Jordan $*$derivation $\Delta_T:X\mapsto TXX^*T$ acting on the Banach algebra $B(\mathcal{H})$. More precisely, we show that $$\big{\}\Delta_T\big{\}\geq 2\sup_{\lambda\in W_0(T)}{\rm Im}(\lambda)$$in which $W_0(T)$ is the maximal numerical range of operator $T$.
http://www.kjmmath.org/article_97176_b3a4d842feb70c384bb0001e22fc2e2b.pdf
20200101T11:23:20
20200229T11:23:20
104
107
10.22034/kjm.2019.97176
Jordan$*$derivation
Numerical Range
maximal numerical range
Abolfazl
Niazi Motlagh
niazimotlagh@gmail.com
true
1
Department of Mathematics, Faculty of basic sciences, University of Bojnord,
P.O. Box 1339, Bojnord, Iran.
Department of Mathematics, Faculty of basic sciences, University of Bojnord,
P.O. Box 1339, Bojnord, Iran.
Department of Mathematics, Faculty of basic sciences, University of Bojnord,
P.O. Box 1339, Bojnord, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Commuting Conjugacy Class Graph of Finite CAGroups
Let $G$ be a finite nonabelian group. The commuting conjugacy class graph $\Gamma(G)$ is a simple graph with the noncentral conjugacy classes of $G$ as its vertex set and two distinct vertices $X$ and $Y$ in $\Gamma(G)$ are adjacent if and only if there are $x \in X$ and $y \in Y$ with this property that $xy = yx$. The aim of this paper is to obtain the structure of the commuting conjugacy class graph of finite CAgroups. It is proved that this graph is a union of some complete graphs. The commuting conjugacy class graph of certain groups are also computed.
http://www.kjmmath.org/article_97177_3bc76fe226764a53f2b1071b15cca234.pdf
20200101T11:23:20
20200229T11:23:20
108
118
10.22034/kjm.2019.97177
Commuting conjugacy class graph
Commuting graph
CAgroup
quotient graph
Mohammad
Salahshour
salahshour@iausk.ac.ir
true
1
Department of Pure Mathematics, University of Kashan, Kashan 8731753153, Iran.
Department of Pure Mathematics, University of Kashan, Kashan 8731753153, Iran.
Department of Pure Mathematics, University of Kashan, Kashan 8731753153, Iran.
AUTHOR
Ali
Ashrafi
ashrafi_1385@yahoo.co.in
true
2
Department of Pure Mathematics, University of Kashan, Kashan 8731753153, Iran.
Department of Pure Mathematics, University of Kashan, Kashan 8731753153, Iran.
Department of Pure Mathematics, University of Kashan, Kashan 8731753153, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
On Jensen's Multiplicative Inequality for Positive Convex Functions of Selfadjoint Operators in Hilbert Spaces
We obtain some multiplicative refinements and reverses of Jensen's inequality for positive convex/concave functions of selfadjoint operators in Hilbert spaces. Natural applications for power and exponential functions are provided.
http://www.kjmmath.org/article_97183_0bab1e1807c57ade01a6dbcdeaa87638.pdf
20200101T11:23:20
20200229T11:23:20
119
128
10.22034/kjm.2019.97183
Young's Inequality
Convex functions
Jensen's inequality
Selfadjoint operator
functions of selfadjoint operators
Silvestru
Dragomir
sever.dragomir@vu.edu.au
true
1
Mathematics, College of Engineering & Science, Victoria University, PO
Box 14428, Melbourne City, MC 8001, Australia.
Mathematics, College of Engineering & Science, Victoria University, PO
Box 14428, Melbourne City, MC 8001, Australia.
Mathematics, College of Engineering & Science, Victoria University, PO
Box 14428, Melbourne City, MC 8001, Australia.
LEAD_AUTHOR
ORIGINAL_ARTICLE
On Gluing of QuasiPseudometric Spaces
The concept of gluing a family of $T_0$quasimetric spaces along subsets was introduced by Otafudu. In this article, we continue the study of externally Isbellconvex and weakly externally Isbellconvex subsets of a $T_0$quasimetric space. We finally investigate some properties of the resulting $T_0$quasimetric space obtained by gluing a family of Isbellconvex $T_0$quasimetric spaces attachedalong isometric subspaces.
http://www.kjmmath.org/article_97193_f40ec285c7f66495a0dc6501643590b4.pdf
20200101T11:23:20
20200229T11:23:20
129
140
10.22034/kjm.2019.97193
Isbellconvexity
gluing quasipseudometric
externally Isbellconvexity
Yolanda
Mutemwa
yolanda.mutemwa@gmail.com
true
1
School of Mathematical Sciences, NorthWest University (Mafikeng Campus), Private Bag X2046, Mmabatho 2735, South Africa.
School of Mathematical Sciences, NorthWest University (Mafikeng Campus), Private Bag X2046, Mmabatho 2735, South Africa.
School of Mathematical Sciences, NorthWest University (Mafikeng Campus), Private Bag X2046, Mmabatho 2735, South Africa.
AUTHOR
Olivier
Otafudu
olivier.olelaotafudu@wits.ac.za
true
2
School of Mathematics, University of the Witwatersrand Johannesburg
2050, South Africa.
School of Mathematics, University of the Witwatersrand Johannesburg
2050, South Africa.
School of Mathematics, University of the Witwatersrand Johannesburg
2050, South Africa.
AUTHOR
Hope
Sabao
hope.sabao@wits.ac.za
true
3
School of Mathematics, University of the Witwatersrand Johannesburg
2050, South Africa.
School of Mathematics, University of the Witwatersrand Johannesburg
2050, South Africa.
School of Mathematics, University of the Witwatersrand Johannesburg
2050, South Africa.
LEAD_AUTHOR