Statistical Approximation of Szász Type Operators Based on Charlier Polynomials

Arun Kajla

doi:10.5666/KMJ.2019.59.4.679

Article

KYUNGPOOK Math. J. 2019; 59(4): 679-688

Published online December 23, 2019

Statistical Approximation of Szász Type Operators Based on Charlier Polynomials

Arun Kajla

Department of Mathematics, Central University of Haryana, Haryana-123031, India
e-mail : rachitkajla47@gmail.com

Received: January 13, 2018; Revised: December 13, 2018; Accepted: December 27, 2018

Abstract

Go to

Abstract

In the present note, we study some approximation properties of the Szász type operators based on Charlier polynomials introduced by S. Varma and F. Taşdelen (Math. Comput. Modelling, 56 (5–6) (2012) 108–112). We establish the rates of A-statistical convergence of these operators. Finally, we prove a Voronovskaja type approximation theorem and local approximation theorem via the concept of A-statistical convergence.

Keywords: Szá,sz operator, Charlier polynomials, modulus of continuity, statistical convergence, bounded variation.