On I-Cauchy sequences

被引：97

作者：

Nabiev, Anar ^{[1
]}

Pehlivan, Serpil ^{[1
]}

Gurdal, Mehmet ^{[1
]}

机构：

[1] Suleyman Demirel Univ, Dept Math, Dogu Campus, TR-32260 Isparta, Turkey

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2007年 / 11卷 / 02期

关键词：

statistical convergence; statistical Cauchy sequence; I-convergence; I-Cauchy; I*-Cauchy; ideals of sets;

D O I：

10.11650/twjm/1500404709

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 dependent on the notion of the ideal I of subsets of the set N of positive integers. In this paper we prove a decomposition theorem for I-convergent sequences and we introduce the notions of I Cauchy sequence and I*-Cauchy sequence, and then study their certain properties.

引用

页码：569 / 576

页数：8

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