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