On a New Class of Bernstein Type Operators Based on Beta Function
Dhawal
Bhatt
Applied Mathematics and Humanities Department, Sardar Vallabhbhai National Institute of Technology, Ichchhanath Mahadev Dumas Road, Surat395
007 (Gujarat), India.
author
Vishnu
Mishra
Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, (Madhya Pradesh) 484 887, India.
author
Ranjan
Jana
Applied Mathematics and Humanities Department, Sardar Vallabhbhai National Institute of Technology, Ichchhanath Mahadev Dumas Road, Surat395
007 (Gujarat), India.
author
text
article
2020
eng
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.
Khayyam Journal of Mathematics
Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)
24234788
6
v.
1
no.
2020
1
15
http://www.kjmmath.org/article_97090_cadb0c8d0798a9820fa3976ce509413e.pdf
dx.doi.org/10.22034/kjm.2019.97090
Invariant Submanifolds of LPSasakian Manifolds
Venkatesha
Venkatesha
Department of Mathematics, Kuvempu University, Shankaraghatta577451, Karnataka, India.
author
Shanmukha
Basavarajappa
Department of Mathematics, Kuvempu University, Shankaraghatta577451, Karnataka, India.
author
text
article
2020
eng
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.
Khayyam Journal of Mathematics
Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)
24234788
6
v.
1
no.
2020
16
26
http://www.kjmmath.org/article_97091_d52712c3a0533f86645740d2df993eba.pdf
dx.doi.org/10.22034/kjm.2019.97091
Various Energies of Commuting Graphs of Finite Nonabelian Groups
Parama
Dutta
Department of Mathematical Sciences, Tezpur University, Napaam 784028, Sonitpur, Assam, India.
author
Biswadeep
Bagchi
Department of Mathematical Sciences, Tezpur University, Napaam 784028, Sonitpur, Assam, India.
author
Rajat
Nath
Department of Mathematical Sciences, Tezpur University, Napaam 784028, Sonitpur, Assam, India.
author
text
article
2020
eng
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.
Khayyam Journal of Mathematics
Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)
24234788
6
v.
1
no.
2020
27
45
http://www.kjmmath.org/article_97094_19bea7eef79e328fcdc7ad5118452748.pdf
dx.doi.org/10.22034/kjm.2019.97094
Some Properties of Prime and ZSemiIdeals in Posets
Kasi
Porselvi
Department of Mathematics, Karunya Institute of Technology and Sciences,
Coimbatore  641 114, India.
author
Balasubramanian
Elavarasan
Department of Mathematics, Karunya Institute of Technology and Sciences,
Coimbatore  641 114, India.
author
text
article
2020
eng
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 $P.$
Khayyam Journal of Mathematics
Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)
24234788
6
v.
1
no.
2020
46
56
http://www.kjmmath.org/article_97095_c7b4d571f0807aca269c3e30f1b3b35f.pdf
dx.doi.org/10.22034/kjm.2019.97095
Strongly Quasilinear Parabolic Systems in Divergence Form with Weak Monotonicity
Elhoussine
Azroul
Department of Mathematics, Faculty of Sciences Dhar El Mehraz, B.P. 1796 Atlas, FezMorocco.
author
Farah
Balaadich
Department of Mathematics, Faculty of Sciences Dhar El Mehraz, B.P. 1796 Atlas, FezMorocco.
author
text
article
2020
eng
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 $\sigma$.
Khayyam Journal of Mathematics
Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)
24234788
6
v.
1
no.
2020
57
72
http://www.kjmmath.org/article_97170_c50bb41e07dca9346043d4702bb0d0b2.pdf
dx.doi.org/10.22034/kjm.2019.97170
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
University of Prishtina "Hasan Prishtina", Faculty of Education, Department of Mathematics and Informatics, Avenue "Mother Theresa" 5, 10000 Prishtina, Kosovo.
author
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.
author
text
article
2020
eng
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.
Khayyam Journal of Mathematics
Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)
24234788
6
v.
1
no.
2020
73
86
http://www.kjmmath.org/article_97173_e5cbb8cc4f0476c8532b33b6a744e7ab.pdf
dx.doi.org/10.22034/kjm.2019.97173
On Pair of Generalized Derivations in Rings
Asma
Ali
Department of Mathematics, Aligarh Muslim University, Aligarh202002,
India.
author
Md
Rahaman
Department of Mathematics, Aligarh Muslim University, Aligarh202002,
India.
author
text
article
2020
eng
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 $R$.
Khayyam Journal of Mathematics
Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)
24234788
6
v.
1
no.
2020
87
94
http://www.kjmmath.org/article_97174_d6600441ebda02c760dafc2171b8c9a6.pdf
dx.doi.org/10.22034/kjm.2019.97174
Approximating Solutions of ThirdOrder Nonlinear Hybrid Differential Equations via Dhage Iteration Principle
Abdelouaheb
Ardjouni
Faculty of Sciences and Technology, Department of Mathematics and Informatics, Souk Ahras University, P.O. Box 1553, Souk Ahras, 41000, Algeria.
author
Ahcene
Djoudi
Applied Mathematics Lab, Faculty of Sciences, Department of Mathematics,
Annaba University, P.O. Box 12, Annaba, 23000, Algeria.
author
text
article
2020
eng
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.
Khayyam Journal of Mathematics
Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)
24234788
6
v.
1
no.
2020
95
103
http://www.kjmmath.org/article_97175_4f0895cb4388259d8103049f6f6095a4.pdf
dx.doi.org/10.22034/kjm.2019.97175
On the Norm of Jordan $*$Derivations
Abolfazl
Niazi Motlagh
Department of Mathematics, Faculty of basic sciences, University of Bojnord,
P.O. Box 1339, Bojnord, Iran.
author
text
article
2020
eng
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 $T$.
Khayyam Journal of Mathematics
Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)
24234788
6
v.
1
no.
2020
104
107
http://www.kjmmath.org/article_97176_b3a4d842feb70c384bb0001e22fc2e2b.pdf
dx.doi.org/10.22034/kjm.2019.97176
Commuting Conjugacy Class Graph of Finite CAGroups
Mohammad
Salahshour
Department of Pure Mathematics, University of Kashan, Kashan 8731753153, Iran.
author
Ali
Ashrafi
Department of Pure Mathematics, University of Kashan, Kashan 8731753153, Iran.
author
text
article
2020
eng
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.
Khayyam Journal of Mathematics
Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)
24234788
6
v.
1
no.
2020
108
118
http://www.kjmmath.org/article_97177_3bc76fe226764a53f2b1071b15cca234.pdf
dx.doi.org/10.22034/kjm.2019.97177
On Jensen's Multiplicative Inequality for Positive Convex Functions of Selfadjoint Operators in Hilbert Spaces
Silvestru
Dragomir
Mathematics, College of Engineering & Science, Victoria University, PO
Box 14428, Melbourne City, MC 8001, Australia.
author
text
article
2020
eng
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.
Khayyam Journal of Mathematics
Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)
24234788
6
v.
1
no.
2020
119
128
http://www.kjmmath.org/article_97183_0bab1e1807c57ade01a6dbcdeaa87638.pdf
dx.doi.org/10.22034/kjm.2019.97183
On Gluing of QuasiPseudometric Spaces
Yolanda
Mutemwa
School of Mathematical Sciences, NorthWest University (Mafikeng Campus), Private Bag X2046, Mmabatho 2735, South Africa.
author
Olivier
Otafudu
School of Mathematics, University of the Witwatersrand Johannesburg
2050, South Africa.
author
Hope
Sabao
School of Mathematics, University of the Witwatersrand Johannesburg
2050, South Africa.
author
text
article
2020
eng
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.
Khayyam Journal of Mathematics
Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)
24234788
6
v.
1
no.
2020
129
140
http://www.kjmmath.org/article_97193_f40ec285c7f66495a0dc6501643590b4.pdf
dx.doi.org/10.22034/kjm.2019.97193