The Rate of Convergence of Lupas q-Analogue of the Bernstein Operators. (9th April 2014) - Wang, Heping
Abstract : We discuss the rate of convergence of the Lupas q -analogues of the Bernstein operators R n, q ( f ; x ) which were given by Lupas in 1987. We obtain the estimates for the rate of convergence of R n, q ( f ) by the modulus of continuity of f, and show that the estimates are sharp in the sense of order for Lipschitz continuous functions.