Turkish Journal of Mathematics
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, A, & AGRAWAL, P. N (2015). Approximation properties of Szász type operators based on Charlier polynomials. Turkish Journal of Mathematics 39 (6): 990-1003. https://doi.org/10.3906/mat-1502-80