Approximation by α-Baskakov−Jain type operators

Abstract

In this manuscript, we consider the Baskakov-Jain type operators involving two parameters ? and ?. Some approximation results concerning the weighted approximation are discussed. Also, we find a quantitative Voronovskaja type asymptotic theorem and Gr?ss Voronovskaya type approximation theorem for these operators. Some numerical examples to illustrate the approximation of these operators to certain functions are also given.