Approximation properties of Szász type operators based on Charlier polynomials

Authors

ARUN KAJLA
PURSHOTTAM NARAIN AGRAWAL

Abstract

In the present paper, we study some approximation properties of the Sz\'{a}sz type operators involving Charlier polynomials introduced by Varma and Ta\c{s}delen in 2012. First, we establish approximation in a Lipschitz type space and weighted approximation theorems for these operators. Then we obtain the error in the approximation of functions having derivatives of bounded variation.

DOI

10.3906/mat-1502-80

Keywords

Sz\'{a}sz operator, Charlier polynomials, modulus of continuity, bounded variation

First Page

990

Last Page

1003

Recommended Citation

KAJLA, ARUN and AGRAWAL, PURSHOTTAM NARAIN (2015) "Approximation properties of Szász type operators based on Charlier polynomials," Turkish Journal of Mathematics: Vol. 39: No. 6, Article 17. https://doi.org/10.3906/mat-1502-80
Available at: https://journals.tubitak.gov.tr/math/vol39/iss6/17