On q-analogue of Bernstein–Schurer–Stancu operators

Abstract

In the present paper, we introduce the Stancu type generalization of the Bernstein–Schurer operators based on q integers. First, we prove the basic convergence of Sn,p(α,β)(.,q,x) and then obtain the rate of convergence by these operators in terms of the modulus of continuity and Voronovskaja type theorem. Further, we study local and global direct results for the operators Sn,p(α,β)(.,q,x).