A Generalization of Szasz Operators by Using the Appell Polynomials of Class A(2)

Abstract

In this paper, as a generalization of Szasz operators, a brand-new sequence of operators including the Appell polynomials of class A2 is introduced. First, the convergence of this new sequence of operators is obtained, and then, some approximation results are presented by using the tools of approximation theory. In addition, an explicit example for this kind of sequence of operators containing Gould–Hopper polynomials is introduced. The error of the approximation of this new sequence of operators to a function is established.