Some approximation properties of a Durrmeyer variant of q ‐Bernstein–Schurer operators

In this paper, we will propose a Durrmeyer variant of q ‐Bernstein–Schurer operators. A Bohman–Korovkin‐type approximation theorem of these operators is considered. The rate of convergence by using the first modulus of smoothness is computed. The statistical approximation of these operators is also studied. Copyright © 2016 John Wiley & Sons, Ltd.