Approximation properties by Bézier-Baskakov-Schurer-Szász operators based on Gould-Hopper polynomials

Abstract

In this study, we introduce a Gould-Hopper polynomial based B & eacute;zier variation of the Baskakov-Schurer-Sz & agrave;sz operators. First, we examine the uniform convergence and error bound using the Ditzian-Totik modulus of smoothness. Next, we obtain the quantitative Voronovskaya and Gr & uuml;ss-Voronovskaya type theorems. Furthermore, we investigate the rate of convergence by using weighted modulus of continuity and for a class of Lipschitz function.