Asymptotic Formulas for Generalized Szasz-Mirakyan Operators

Abstract

In the present paper, we consider the general Szasz-Mirakyan operators and investigate their asymptotic behaviours. We obtain quantitative Voronovskaya and quantitative Gruss type Voronovskaya theorems using the weighted modulus of continuity. The particular cases are presented for classical Szasz-Mirakyan operators. (C) 2015 Elsevier Inc. All rights reserved.