The Rate of Convergence of Lupas q -Analogue of the Bernstein Operators

Abstract EN

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.