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.

引用

页码：429 / 450

页数：21

共 63 条

[41]

Tzafriri L(undefined)undefined undefined undefined undefined-undefined

[42]

Loku V(undefined)undefined undefined undefined undefined-undefined

[43]

Braha NL(undefined)undefined undefined undefined undefined-undefined

[44]

Mohiuddine SA(undefined)undefined undefined undefined undefined-undefined

[45]

Alotaibi A(undefined)undefined undefined undefined undefined-undefined

[46]

Mursaleen M(undefined)undefined undefined undefined undefined-undefined

[47]

Mohiuddine SA(undefined)undefined undefined undefined undefined-undefined

[48]

Alamri BAS(undefined)undefined undefined undefined undefined-undefined

[49]

Mursaleen M(undefined)undefined undefined undefined undefined-undefined

[50]

Alotaibi A(undefined)undefined undefined undefined undefined-undefined

← 1 2 3 4 5 6 7 →