Approximation by modified Kantorovich–Szász type operators involving Charlier polynomials

Approximation by modified Kantorovich–Szász type operators involving Charlier polynomials

Abstract In this paper, we give some direct approximation results by modified Kantorovich–Szász type operators involving Charlier polynomials. Further, approximation results are also developed in polynomial weighted spaces. Moreover, for the functions of bounded variation, approximation results are...

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Bibliographic Details
Main Authors: K. J. Ansari, M. Mursaleen, M. Shareef KP, M. Ghouse
Format: Article
Language:English
Published: SpringerOpen 2020-05-01
Series:Advances in Difference Equations
Subjects:
Szász operator
Charlier polynomials
Modulus of continuity
Rate of convergence
Online Access:http://link.springer.com/article/10.1186/s13662-020-02645-6
Description
Summary:Abstract In this paper, we give some direct approximation results by modified Kantorovich–Szász type operators involving Charlier polynomials. Further, approximation results are also developed in polynomial weighted spaces. Moreover, for the functions of bounded variation, approximation results are proved. Finally, some graphical examples are provided to show comparisons of convergence between old and modified operators towards a function under different parameters and conditions.
ISSN:1687-1847

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