Approximation by Bézier variant of Baskakov-Durrmeyer-type hybrid operators (Q2236408)

Summary: We give a Bézier variant of Baskakov-Durrmeyer-type hybrid operators. First, we obtain the rate of convergence by using the Ditzian-Totik modulus of smoothness and also for a class of Lipschitz functions. Then, a weighted modulus of continuity is investigated, too. We study the rate of point-wise convergence for the functions having a derivative of bounded variation. Furthermore, we establish a quantitative Voronovskaja-type formula in terms of the Ditzian-Totik modulus of smoothness at the end.