On statistical approximation of a general class of positive linear operators extended in q-calculus

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摘要

In this paper we present a general class of positive linear operators of discrete type based on q-calculus and we investigate their weighted statistical approximation properties by using a Bohman–Korovkin type theorem. We also mark out two particular cases of this general class of operators.

论文关键词:q-Calculus,Baskakov operator,Statistical convergence,Bohman–Korovkin type theorem,Weighted space

论文评审过程:Available online 19 August 2009.

论文官网地址:https://doi.org/10.1016/j.amc.2009.08.023