Weighted Equi-Statistical Convergence of the Korovkin Type Approximation Theorems

被引：7
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
收藏
页码：1073 / 1085
页数：13
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