On I-Cauchy sequences in 2-normed spaces

被引：0
|
作者：
Gurdal, Mehmet [1 ]
Acik, Isil [2 ]
机构：
[1] Suleyman Demirel Univ, Dept Math, TR-32260 Isparta, Turkey
[2] Suleyman Demirel Univ, Dept Math, TR-32260 Isparta, Turkey
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2008年 / 11卷 / 02期
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The concept of I-convergence is a generalization of statistical convergence and it is depended on the notion of the ideal I of subsets of the set N of positive integers. In this paper for sequences in 2-normed space the relationship between I-convergence and usual convergence along a filter F(I) associated with an admissible ideal I with property (AP) is investigated. We introduce the concepts I-Cauchy and I*-Cauchy sequences in 2-normed spaces and study their certain properties.
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页码：349 / 354
页数：6
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