Modified Szasz Operators Involving Charlier Polynomials Based on Two Parameters

Nadeem Rao, Abdul Wafi

Abstract

The aim of this article is to introduce a Stancu type generalization of modified Szasz operators using Charlier polynomials. We establish a recursive relation between Szasz-type operators defined in [S. Varma, F. Tasdelen, Szasz type operators involving Charlier polynomials, Math. Comput. Modeling 56 (5--6) (2012) 118--122] and Stancu-type generalization of these operators. Further, we discuss Korovkin type theorem, rate of convergence in terms of modulus of continuity and simultaneous approximation. Moreover, we study Local approximation results using second order modulus of smoothness, Peetre's K-functional and Lipschitz class. In the last of this manuscript, we give weighted Korovkin type theorem and statistical approximation result in polynomial weighted space.