Some approximation results on Chlodowsky type q-Bernstein-Schurer operators

Abstract

The main concern of this article is to obtain several approximation features of the new Chlodowsky type q-Bernstein-Schurer operators. We prove the Korovkin type approximation theorem and discuss the order of convergence with regard to the ordinary modulus of continuity, an element of Lipschitz type and Peetre’s
K-functional, respectively. In addition, we derive the Voronovskaya type asymptotic theorem. Finally, by using of Maple software, we present the comparison of the convergence of Chlodowsky type q-Bernstein-
Schurer operators to the certain functions with some graphical illustrations and error estimation tables.