Generalized Weighted Statistical Convergence of Double Sequences and Applications

被引：13

作者：

Cinar, Muhammed ^{[1
]}

Et, Mikail ^{[2
,3
]}

机构：

[1] Mus Alparslan Univ, Dept Math, Mus, Turkey

[2] Firat Univ, Dept Math, Elazig, Turkey

[3] Siirt Univ, Siirt, Turkey

来源：

FILOMAT | 2016年 / 30卷 / 03期

关键词：

Double sequences; weighted statistical convergence; Korovkin type theorem; APPROXIMATION THEOREM; DIFFERENCE-SEQUENCES; TAUBERIAN CONDITIONS; VARIABLES; SUMMABILITY; OPERATORS; FOLLOWS; LAMBDA;

D O I：

10.2298/FIL1603753C

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we introduce the concept generalized weighted statistical convergence of double sequences. Some relations between weighted (lambda, mu)-statistical convergence and strong ((N) over bar (lambda mu), p,q,alpha,beta)-summablity of double sequences are examined. Furthemore, we apply our new summability method to prove a Korovkin type theorem.

引用

页码：753 / 762

页数：10

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