On lacunary statistical convergence of difference sequences

被引：0

作者：

Kisi, Omer ^{[1
]}

Gurdal, Mehmet ^{[2
]}

机构：

[1] Bartin Univ, Dept Math, Bartin, Turkiye

[2] Suleyman Demirel Univ, Dept Math, Isparta, Turkiye

来源：

ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2023年 / 49期

关键词：

completeness; unconditionally Cauchy series; lacunary convergence; dif-ference sequence; NORMED SPACES; BANACH-SPACE; COMPLETENESS; SUMMABILITY; SERIES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the S theta ( increment ) and N theta ( increment ) summabilities are used along with the notion of weakly unconditionally Cauchy series (in brief wuC series) to characterize a Banach space. We examine these two kinds of summabilities which are regular methods and we recall some features. Furthermore, we investigate the spaces SN theta (Ep increment wp) and SS theta (Ep increment wp) which will be thought to characterize the completeness of a space.

引用

页码：790 / 804

页数：15

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