Approximation Properties of Meyer-Konig-Zeller Type Operators

Abstract

In this paper, a new kind of Meyer-Konig-Zeller type operators will be constructed by their relationship with Baskakov type operators. Firstly, the Baskakov typeoperators preserving the function e −µx (µ > 0) will be introduced by the dominated convergence theorem. Secondly, some approximation properties of this kind of new Baskakov operators will be discussed. Finally, with the help of a transformation from [0, 1) to [0,∞), we will give the definition and the approximation theorem of the new Meyer-Konig-Zeller type operators.