Extension of lacunary statistical convergence on vector valued double difference sequence space

被引:0
|
作者
Basu, Anindita [1 ]
机构
[1] Dr BN Dutta Smriti Mahavidyalaya, Dept Math, Burdwan 713407, W Bengal, India
来源
TBILISI MATHEMATICAL JOURNAL | 2014年 / 7卷 / 01期
关键词
Lacunary double sequences; statistical convergence; lacunary refinement;
D O I
10.2478/tmj-2014-0002
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper the concepts of lacunary vector valued double sequences and Delta(11)-lacunary statistical convergent vector valued double difference sequences have been introduced. Further, the purpose of this work is to extend the known sequence space in the literature for ordinary single sequences to the double sequence space Delta N-11 theta(r,s) (E) of lacunary strongly convergent vector valued double sequences. Some inclusion relations among them are also established. Lastly, this paper deals with some results which establish the relationship between various lacunary methods
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页码:19 / 30
页数:12
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