- Turkish Journal of Mathematics
- Vol: 39 Issue: 6
- Approximation properties of Szász type operators based on Charlier polynomials
Approximation properties of Szász type operators based on Charlier polynomials
Authors : Arun Kajla, Purshottam Narain Agrawal
Pages : 990-1003
View : 14 | Download : 7
Publication Date : 9999-12-31
Article Type : Makaleler
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.Keywords : Sz'{a}sz operator, Charlier polynomials, modulus of continuity, bounded variation