Λ2-Weighted statistical convergence and Korovkin and Voronovskaya type theorems.
Applied Mathematics and Computation（2015）
摘要
In this paper, we propose to introduce a new ¿2-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.
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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
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