20210413T12:28:07Z
http://www.kjmmath.org/?_action=export&rf=summon&issue=13400
Khayyam Journal of Mathematics
Khayyam J. Math.
2020
6
1
On a New Class of Bernstein Type Operators Based on Beta Function
Dhawal
Bhatt
Vishnu
Mishra
Ranjan
Jana
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.
Beta function
Korovkin theorem
Modulus of continuity
Voronovskaya type result
2020
01
01
1
15
http://www.kjmmath.org/article_97090_cadb0c8d0798a9820fa3976ce509413e.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2020
6
1
Invariant Submanifolds of LPSasakian Manifolds
Venkatesha
Venkatesha
Shanmukha
Basavarajappa
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.
Submanifold
LPSasakian manifold
concircular curvature tensor
2020
01
01
16
26
http://www.kjmmath.org/article_97091_d52712c3a0533f86645740d2df993eba.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2020
6
1
Various Energies of Commuting Graphs of Finite Nonabelian Groups
Parama
Dutta
Biswadeep
Bagchi
Rajat
Nath
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.
Commuting graph
spectrum
Energy
finite group
2020
01
01
27
45
http://www.kjmmath.org/article_97094_19bea7eef79e328fcdc7ad5118452748.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2020
6
1
Some Properties of Prime and ZSemiIdeals in Posets
Kasi
Porselvi
Balasubramanian
Elavarasan
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 $P.$
Posets
semiideals
prime semiideals
minimal prime semiideals
msystem
2020
01
01
46
56
http://www.kjmmath.org/article_97095_c7b4d571f0807aca269c3e30f1b3b35f.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2020
6
1
Strongly Quasilinear Parabolic Systems in Divergence Form with Weak Monotonicity
Elhoussine
Azroul
Farah
Balaadich
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 $\sigma$.
Quasilinear parabolic systems
weak monotonicity
weak solution
Young measures
2020
01
01
57
72
http://www.kjmmath.org/article_97170_c50bb41e07dca9346043d4702bb0d0b2.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2020
6
1
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
Xhevat
Krasniqi
Deepmala

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.
Fourier series
generalized N"{o}rlund means
conjugate Fourier series
degree of approximation
2020
01
01
73
86
http://www.kjmmath.org/article_97173_e5cbb8cc4f0476c8532b33b6a744e7ab.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2020
6
1
On Pair of Generalized Derivations in Rings
Asma
Ali
Md
Rahaman
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 $R$.
Prime rings
semiprime rings
generalized derivations
extended centroid
2020
01
01
87
94
http://www.kjmmath.org/article_97174_d6600441ebda02c760dafc2171b8c9a6.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2020
6
1
Approximating Solutions of ThirdOrder Nonlinear Hybrid Differential Equations via Dhage Iteration Principle
Abdelouaheb
Ardjouni
Ahcene
Djoudi
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.
Approximating solutions
Initial value problems
Dhage iteration principle
hybrid fixed point theorem
2020
01
01
95
103
http://www.kjmmath.org/article_97175_4f0895cb4388259d8103049f6f6095a4.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2020
6
1
On the Norm of Jordan $*$Derivations
Abolfazl
Niazi Motlagh
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 $T$.
Jordan$*$derivation
Numerical Range
maximal numerical range
2020
01
01
104
107
http://www.kjmmath.org/article_97176_b3a4d842feb70c384bb0001e22fc2e2b.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2020
6
1
Commuting Conjugacy Class Graph of Finite CAGroups
Mohammad
Salahshour
Ali
Ashrafi
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.
Commuting conjugacy class graph
Commuting graph
CAgroup
quotient graph
2020
01
01
108
118
http://www.kjmmath.org/article_97177_3bc76fe226764a53f2b1071b15cca234.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2020
6
1
On Jensen's Multiplicative Inequality for Positive Convex Functions of Selfadjoint Operators in Hilbert Spaces
Silvestru
Dragomir
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.
Young's Inequality
Convex functions
Jensen's inequality
Selfadjoint operator
functions of selfadjoint operators
2020
01
01
119
128
http://www.kjmmath.org/article_97183_0bab1e1807c57ade01a6dbcdeaa87638.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2020
6
1
On Gluing of QuasiPseudometric Spaces
Yolanda
Mutemwa
Olivier
Otafudu
Hope
Sabao
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.
Isbellconvexity
gluing quasipseudometric
externally Isbellconvexity
2020
01
01
129
140
http://www.kjmmath.org/article_97193_f40ec285c7f66495a0dc6501643590b4.pdf