2020
6
1
0
140
On a New Class of Bernstein Type Operators Based on Beta Function
2
2
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.
1

1
15


Dhawal
Bhatt
Applied Mathematics and Humanities Department, Sardar Vallabhbhai National Institute of Technology, Ichchhanath Mahadev Dumas Road, Surat395
007 (Gujarat), India.
Applied Mathematics and Humanities Department,
India
dhawal.bhatt@sxca.edu.in


Vishnu
Mishra
Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, (Madhya Pradesh) 484 887, India.
Department of Mathematics, Indira Gandhi
India
vishnunarayanmishra@gmail.com


Ranjan
Jana
Applied Mathematics and Humanities Department, Sardar Vallabhbhai National Institute of Technology, Ichchhanath Mahadev Dumas Road, Surat395
007 (Gujarat), India.
Applied Mathematics and Humanities Department,
India
rkjana2003@yahoo.com
Beta function
Korovkin theorem
Modulus of continuity
Voronovskaya type result
Invariant Submanifolds of LPSasakian Manifolds
2
2
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.
1

16
26


Venkatesha
Venkatesha
Department of Mathematics, Kuvempu University, Shankaraghatta577451, Karnataka, India.
Department of Mathematics, Kuvempu University,
India
vensmath@gmail.com


Shanmukha
Basavarajappa
Department of Mathematics, Kuvempu University, Shankaraghatta577451, Karnataka, India.
Department of Mathematics, Kuvempu University,
India
meshanmukha@gmail.com
Submanifold
LPSasakian manifold
concircular curvature tensor
Various Energies of Commuting Graphs of Finite Nonabelian Groups
2
2
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.
1

27
45


Parama
Dutta
Department of Mathematical Sciences, Tezpur University, Napaam 784028, Sonitpur, Assam, India.
Department of Mathematical Sciences, Tezpur
India
parama@gonitsora.com


Biswadeep
Bagchi
Department of Mathematical Sciences, Tezpur University, Napaam 784028, Sonitpur, Assam, India.
Department of Mathematical Sciences, Tezpur
India
biswadeepbagchi430@gmail.com


Rajat
Nath
Department of Mathematical Sciences, Tezpur University, Napaam 784028, Sonitpur, Assam, India.
Department of Mathematical Sciences, Tezpur
India
rajatkantinath@yahoo.com
Commuting graph
spectrum
Energy
finite group
Some Properties of Prime and ZSemiIdeals in Posets
2
2
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 $P.$
1

46
56


Kasi
Porselvi
Department of Mathematics, Karunya Institute of Technology and Sciences,
Coimbatore  641 114, India.
Department of Mathematics, Karunya Institute
India
porselvi94@yahoo.co.in


Balasubramanian
Elavarasan
Department of Mathematics, Karunya Institute of Technology and Sciences,
Coimbatore  641 114, India.
Department of Mathematics, Karunya Institute
India
belavarasan@gmail.com
Posets
semiideals
prime semiideals
minimal prime semiideals
msystem
Strongly Quasilinear Parabolic Systems in Divergence Form with Weak Monotonicity
2
2
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 $sigma$.
1

57
72


Elhoussine
Azroul
Department of Mathematics, Faculty of Sciences Dhar El Mehraz, B.P. 1796 Atlas, FezMorocco.
Department of Mathematics, Faculty of Sciences
Morocco
elhoussine.azroul@gmail.com


Farah
Balaadich
Department of Mathematics, Faculty of Sciences Dhar El Mehraz, B.P. 1796 Atlas, FezMorocco.
Department of Mathematics, Faculty of Sciences
Morocco
balaadich.edp@gmail.com
Quasilinear parabolic systems
weak monotonicity
weak solution
Young measures
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
2
2
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.
1

73
86


Xhevat
Krasniqi
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"
Albania
xhevat.krasniqi@unipr.edu


Deepmala

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
India
dmrai23@gmail.com
Fourier series
generalized N"{o}rlund means
conjugate Fourier series
degree of approximation
On Pair of Generalized Derivations in Rings
2
2
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 $R$.
1

87
94


Asma
Ali
Department of Mathematics, Aligarh Muslim University, Aligarh202002,
India.
Department of Mathematics, Aligarh Muslim
India
asma_ali2@rediffmail.com


Md
Rahaman
Department of Mathematics, Aligarh Muslim University, Aligarh202002,
India.
Department of Mathematics, Aligarh Muslim
India
rahamanhamidmath@gmail.com
Prime rings
semiprime rings
generalized derivations
extended centroid
Approximating Solutions of ThirdOrder Nonlinear Hybrid Differential Equations via Dhage Iteration Principle
2
2
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.
1

95
103


Abdelouaheb
Ardjouni
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
Algeria
abd_ardjouni@yahoo.fr


Ahcene
Djoudi
Applied Mathematics Lab, Faculty of Sciences, Department of Mathematics,
Annaba University, P.O. Box 12, Annaba, 23000, Algeria.
Applied Mathematics Lab, Faculty of Sciences,
Algeria
adjoudi@yahoo.com
Approximating solutions
Initial value problems
Dhage iteration principle
hybrid fixed point theorem
On the Norm of Jordan $*$Derivations
2
2
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 $Tin B(mathcal H)$.In this paper, we determine the norm of the inner Jordan $*$derivation $Delta_T:Xmapsto TXX^*T$ acting on the Banach algebra $B(mathcal{H})$. More precisely, we show that $$big{}Delta_Tbig{}geq 2sup_{lambdain W_0(T)}{rm Im}(lambda)$$in which $W_0(T)$ is the maximal numerical range of operator $T$.
1

104
107


Abolfazl
Niazi Motlagh
Department of Mathematics, Faculty of basic sciences, University of Bojnord,
P.O. Box 1339, Bojnord, Iran.
Department of Mathematics, Faculty of basic
Iran
niazimotlagh@gmail.com
Jordan$*$derivation
Numerical Range
maximal numerical range
Commuting Conjugacy Class Graph of Finite CAGroups
2
2
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.
1

108
118


Mohammad
Salahshour
Department of Pure Mathematics, University of Kashan, Kashan 8731753153, Iran.
Department of Pure Mathematics, University
Iran
salahshour@iausk.ac.ir


Ali
Ashrafi
Department of Pure Mathematics, University of Kashan, Kashan 8731753153, Iran.
Department of Pure Mathematics, University
Iran
ashrafi_1385@yahoo.co.in
Commuting conjugacy class graph
Commuting graph
CAgroup
quotient graph
On Jensen's Multiplicative Inequality for Positive Convex Functions of Selfadjoint Operators in Hilbert Spaces
2
2
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.
1

119
128


Silvestru
Dragomir
Mathematics, College of Engineering & Science, Victoria University, PO
Box 14428, Melbourne City, MC 8001, Australia.
Mathematics, College of Engineering &
Australia
sever.dragomir@vu.edu.au
Young's Inequality
Convex functions
Jensen's inequality
Selfadjoint operator
functions of selfadjoint operators
On Gluing of QuasiPseudometric Spaces
2
2
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.
1

129
140


Yolanda
Mutemwa
School of Mathematical Sciences, NorthWest University (Mafikeng Campus), Private Bag X2046, Mmabatho 2735, South Africa.
School of Mathematical Sciences, NorthWest
South Africa
yolanda.mutemwa@gmail.com


Olivier
Otafudu
School of Mathematics, University of the Witwatersrand Johannesburg
2050, South Africa.
School of Mathematics, University of the
South Africa
olivier.olelaotafudu@wits.ac.za


Hope
Sabao
School of Mathematics, University of the Witwatersrand Johannesburg
2050, South Africa.
School of Mathematics, University of the
South Africa
hope.sabao@wits.ac.za
Isbellconvexity
gluing quasipseudometric
externally Isbellconvexity