Some weighted statistical convergence and associated Korovkin and Voronovskaya type theorems

被引：0
作者：
Naim L. Braha
H. M. Srivastava
Mikail Et
机构：
[1] University of Prishtina,Department of Mathematics and Computer Sciences
[2] University of Victoria,Department of Mathematics and Statistics
[3] China Medical University Hospital,Department of Medical Research
[4] China Medical University,Department of Mathematics
[5] Fırat University,undefined
来源：
Journal of Applied Mathematics and Computing | 2021年 / 65卷
关键词：
Weighted statistical convergence; Sequence spaces; Korovkin type theorem; Rate of convergence; Voronovskaya type theorem; 40G15; 41A36; 46A35; 46A45;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we propose to investigate a new weighted statistical convergence by applying the Nörlund–Cesáro summability method. Based upon this definition, we prove some properties of statistically convergent sequences and a kind of the Korovkin type theorems. We also study the rate of the convergence for this kind of weighted statistical convergence and a Voronovskaya type theorem.
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页码：429 / 450
页数：21
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