Approximation by Durrmeyer type Jakimoski-Leviatan operators

摘要

In this study, we introduce the Durrmeyer type Jakimoski-Leviatan operators and examine their approximation properties. We study the local approximation properties of these operators. Further, we investigate the convergence of these operators in a weighted space of functions and obtain the approximation properties. Furthermore, we give a Voronovskaja type theorem for the our new operators. Copyright (C) 2015 John Wiley & Sons, Ltd.