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2021
14
5
ISSN 2008-1898
84
The exponentiated half-logistic odd lindley-G family of distributions with applications
The exponentiated half-logistic odd lindley-G family of distributions with applications
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A new generalized family of models called the Exponentiated Half Logistic Odd Lindley-G (EHLOL-G) distribution is developed and presented. Some explicit expressions for the structural properties including moments, conditional moments, mean and median deviations, distribution of the order statistics, probability weighted moments and R\'enyi entropy are derived. We applied the maximum likelihood estimation technique to estimate the parameters of the model and a simulation study is conducted to examine the efficiency of the maximum likelihood estimators. The special case of the EHLOL-Weibull (EHLOL-W) distribution is fitted to two real data sets.
287
309
Whatmore
Sengweni
Department of Mathematical Statistics
Botswana International University of Science and Technology
Botswana
whatiegumbo@gmail.com
Brodrick
Oluyede
Department of Mathematical Statistics
Botswana International University of Science and Technology
Botswana
oluyedeo@biust.ac.bw
Boikanyo
Makubate
Department of Mathematical Statistics
Botswana International University of Science and Technology
Botswana
makubateb@biust.ac.bw
Generalized-G distribution
exponentiated distribution
half logistic distribution
odd-lindley distribution
maximum likelihood estimation
Article.1.pdf
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Approximation by a new generalization of Szász-Mirakjan operators via \((p,q)\)-calculus
Approximation by a new generalization of Szász-Mirakjan operators via \((p,q)\)-calculus
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In this work, we obtain the approximation properties of a new generalization
of Szász-Mirakjan operators based on post-quantum calculus. Firstly, for
these operators, a recurrence formulation for the moments is obtained, and up to the fourth degree, the central
moments are examined. Then, a local approximation result is attained. Furthermore, the degree of
approximation in respect of the modulus of continuity on a finite closed
set and the class of Lipschitz are
computed. Next, the weighted uniform approximation on an unbounded interval
is showed, and by the modulus of continuity, the order of convergence
is estimated. Lastly, we proved the Voronovskaya type theorem and gave some illustrations to compare the related operators' convergence to a certain function.
310
323
Reşat
Aslan
Provincial Directorate of Labor and Employment Agency
Turkey
resat63@hotmail.com
Aydin
Izgi
Department of Mathematics, Faculty of Sciences and Arts
Harran University
Turkey
aydinizgi@yahoo.com
Weighted approximation
Szász-Mirakjan operators
modulus of continuity
\((p,q)\)-calculus
Article.2.pdf
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Generalized Bernstein-Chlodowsky-Kantorovich type operators involving Gould-Hopper polynomials
Generalized Bernstein-Chlodowsky-Kantorovich type operators involving Gould-Hopper polynomials
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In the present article, we establish a link between the theory of positive linear operators and the orthogonal polynomials by defining Bernstein-Chlodowsky-Kantorovich operators based on Gould-Hopper polynomials (orthogonal polynomials) and investigate the degree of convergence of these operators for unbounded continuous functions having a polynomial growth. In this connection, the moments of the operators are derived first, and then the approximation degree of the considered operators is established by means of the complete and the partial moduli of continuity. Next, we focus on the rate of convergence of these operators for functions in a weighted space. The associated Generalized Boolean Sum (GBS) operator of the operators under study is defined, and the degree of approximation is studied with the aid of the mixed modulus of smoothness and the Lipschitz class of Bögel continuous functions.
324
338
P. N.
Agrawal
Department of Mathematics
Indian Institute of Technology Roorkee
India
Agrawalpnappfma@iitr.ac.in
Sompal
Singh
Department of Mathematics
Indian Institute of Technology Roorkee
India
ssingh@ma.iitr.ac.in
Gould-Hopper polynomials
modulus of continuity
Peetre's K-functional
Bögel continuous functions
mixed modulus of smoothness
Article.3.pdf
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Asymptotic behavior of attracting and quasi-invariant sets of impulsive stochastic partial integrodifferential equations with delays and Poisson jumps
Asymptotic behavior of attracting and quasi-invariant sets of impulsive stochastic partial integrodifferential equations with delays and Poisson jumps
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This paper is concerned with a class of impulsive stochastic partial integrodifferential equations (ISPIEs) with delays and Poisson jumps. First, using the resolvent operator technique and contraction mapping principle, we can directly prove the existence and uniqueness of the mild solution for the system mentioned above. Then we develop a new impulsive integral inequality to obtain the global, both \(p^{\rm th}\) moment exponential stability and almost surely exponential stability of the mild solution is established with sufficient conditions. Also, a numerical example is provided to validate the theoretical result.
339
350
K.
Ramkumar
Department of Mathematics
PSG College of Arts and Science
India
ramkumarkpsg@gmail.com
K.
Ravikumar
Department of Mathematics
PSG College of Arts and Science
India
ravikumarkpsg@gmail.com
Dimplekumar
Chalishajar
Department of Mathematics and Computer science, Mallory Hall
Virginia Military Institute
USA
chalishajardn@vmi.edu
A.
Anguraj
Department of Mathematics
PSG College of Arts and Science
India
angurajpsg@yahoo.com
Exponential stability
almost surely exponential stability
mild solution
attracting set
quasi-invariant set
Poisson jumps
resolvent operator
Article.4.pdf
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New approach for structural behavior of variables
New approach for structural behavior of variables
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The main scenario of the present paper is to introduce certain approach of variables by setting the structural behavior of fractional inequalities. Some new structural properties will be established concerning them.
351
358
Abdul Hamid
Ganie
Basic Science Department, College of Science and Theoretical Studies
Saudi Electronic University
Kingdom of Saudi Arabia
a.ganie@seu.edu.sa
Fractional notion
variables
Lebesgue measurable functions
Article.5.pdf
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Iterative solution of split equilibrium and fixed point problems in real Hilbert spaces
Iterative solution of split equilibrium and fixed point problems in real Hilbert spaces
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In this article, we introduce a hybrid iteration involving inertial-term for split equilibrium problem and fixed point for a finite family of asymptotically
strictly pseudocontractive mappings. We prove that the sequence converges strongly to a solution of split equilibrium problem and a common fixed point of a finite family of asymptotically strictly
pseudocontractive mappings. The results proved extend and improve recent results of Chang et al. [S. S. Chang, H. W. J. Lee, C. K. Chan, L. Wang, L. J. Qin, Appl. Math. Comput., \(\bf 219\) (2013), 10416--10424], Dewangan et al. [R. Dewangan, B. S. Thakur, M. Postolache, J. Inequal. Appl., \(\bf 2014\) (2014), 11 pages],
and many others.
359
371
J. N.
Ezeora
Department of Mathematics and Statistics
University of Port Harcpourt
Nigeria
jeremiah.ezeora@uniport.edu.ng
P. C.
Jackreece
Department of Mathematics and Statistics
University of Port Harcpourt
Nigeria
prebo.jackreece@uniport.edu.ng
Total asymptotically strict pseudocontractive mapping
split equilibrium problem
fixed point problem
inertial-step
bounded linear operator
Article.6.pdf
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