Stancu type generalization of modified Schurer operators based on q-integers
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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.
论文关键词:q-Modified Schurer Stancu operators,q-Integers,Modulus of smoothness,Statistical convergence
论文评审过程:Available online 1 December 2013.
论文官网地址:https://doi.org/10.1016/j.amc.2013.10.078