Weighted Equi-Statistical Convergence of the Korovkin Type Approximation Theorems

被引：9

作者：

Akdag, Sevda ^{[1
]}

机构：

[1] Sinop Univ, Fac Arts & Sci, Dept Math, TR-57000 Sinop, Turkey

来源：

RESULTS IN MATHEMATICS | 2017年 / 72卷 / 03期

关键词：

Statistical convergence; equi-statistical convergence; weighted equi-statistical convergence; Korovkin type approximation theorem; Voronovskaya type theorem;

D O I：

10.1007/s00025-016-0591-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the concepts of weighted statistical pointwise convergence, weighted statistical uniform convergence and weighted equi-statistical convergence are introduced. Then, using weighted equi-statistical convergence, a general Korovkin type theorem is obtained. Also, an example such that our new approximation result works but its classical case does not work is constructed.

引用

页码：1073 / 1085

页数：13

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