Some Probabilistic Generalizations of the Cheney–Sharma and Bernstein Approximation Operators

Some Probabilistic Generalizations of the Cheney–Sharma and Bernstein Approximation Operators

The objective of this paper is to give some probabilistic derivations of the Cheney, Sharma, and Bernstein approximation operators. Motivated by these probabilistic derivations, generalizations of the Cheney, Sharma, and Bernstein operators are defined. The convergence property of the Bernstein gene...

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Bibliographic Details
Main Authors: Seng Huat Ong, Choung Min Ng, Hong Keat Yap, Hari Mohan Srivastava
Format: Article
Language:English
Published: MDPI AG 2022-10-01
Series:Axioms
Subjects:
generalized Laguerre polynomials
Korovkin theorem
noncentral negative binomial
probabilistic derivation
Weierstrass approximation theorem
Szász–Mirakyan operator
Online Access:https://www.mdpi.com/2075-1680/11/10/537

Internet

https://www.mdpi.com/2075-1680/11/10/537

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