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
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
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页码:753 / 762
页数:10
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