Stancu type generalization of modified Schurer operators based on q-integers

摘要

In the present paper, we introduce the Stancu type generalization Sn,p(α,β)(.,q,x) of the modified Schurer operators based on q integers. First, we prove the basic convergence of the operators Sn,p(α,β)(.,q,x) and then obtain the Voronovskaja type theorem. Next, we discuss local direct results for these operators. Finally, we study the statistical convergence of Sn,p(α,β)(.,q,x) and also obtain some convergence properties of the limit q-modified Schurer Stancu operators.