Approximation by Modified Szasz Operators with a new Modification of Brenke Type Polynomials

Abstract

In the present article we study the approximation properties of modified Szász operators with a new modification of Brenke type polynomials. First, we estimate the rate of convergence, for the newly defined operators, by means of modulus of smoothness, Peetre’s K-functional and Lipschitz type functions. Furthermore, we also prove a Voronovskaja type asymptotic theorem.