On the approximation by Bezier-Paltanea operators based on Gould Hopper polynomials

Abstract

In the present article, we give a Bezier variant of Paltanea operators whichinvolves Gould Hopper polynomials. First, we investigate rate of convergence by using Ditzian-Totik modulus of smoothness, weighted modulus of continuity and also for class ofLipschitz function. Furthermore, we obtain the quantitative Voronovskaja type theoremin terms of Ditzian-Totik modulus of smoothness. In the last section, we study the rate ofpoint-wise convergence for the functions having a derivative of bounded variation.