ON I-STATISTICALLY PRE-CAUCHY SEQUENCES

被引：24

作者：

Das, Pratulananda ^{[1
]}

Savas, Ekrem ^{[2
]}

机构：

[1] Jadavpur Univ, Dept Math, Kolkata 700032, W Bengal, India

[2] Istanbul Ticaret Univ, Dept Math, Istanbul, Turkey

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2014年 / 18卷 / 01期

关键词：

Ideal; Filter; I-statistical convergence; I-statistical pre-Cauchy condition; I-natural; density; I-limit inferior; SUMMABILITY METHODS;

D O I：

10.11650/tjm.18.2014.3157

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we continue our investigation of the recent summability notion of I-statistical convergence introduced in [8, 26] (where a new extension of the notion of natural density and statistical convergence was proposed using the notion of ideals of the set of positive integers N) and introduce the notion of I-statistically pre-Cauchy sequences in line of [3]. We mainly show that I-statistical convergence implies I-statistical pre-Cauchy condition and give certain sufficient conditions for the converse to be true.

引用

页码：115 / 126

页数：12

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