Λ2-Weighted statistical convergence and Korovkin and Voronovskaya type theorems
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摘要
In this paper, we propose to introduce a new Λ2-weighted statistical convergence. Based upon this definition, we prove some Korovkin type theorems. We also find the rate of the convergence for this kind of weighted statistical convergence and derive some Voronovskaya type theorems.
论文关键词：Statistical convergence and statistical summability,Λ2-Weighted statistical convergence and Korovkin type theorems,Rate of convergence and Voronovskaya type theorems,Positive linear operators,Bounded and continuous functions and modulus of continuity,Nonincreasing and nondecreasing functions
论文评审过程：Received 31 March 2015, Accepted 24 May 2015, Available online 17 June 2015, Version of Record 17 June 2015.
论文官网地址：https://doi.org/10.1016/j.amc.2015.05.108
