On (p,q)-analogue of Bernstein Operators

M. Mursaleen, Khursheed J. Ansari, Asif Khan

Published 2015-03-24Version 1

In this paper, we introduce a new analogue of Bernstein operators and we call it as (p,q)-Bernstein operators which is a generalization of q-Bernstein operators. We also study approximation properties based on Korovkin's type approximation theorem of (p,q)-Bernstein operators and establish some direct theorems. Furthermore, we show comparisons and some illustrative graphics for the convergence of operators to a function.