渐赋范线性空间中序列的统计收敛性

IF 0.5 Q3 MATHEMATICS Annals of the University of Craiova-Mathematics and Computer Science Series Pub Date : 2022-06-24 DOI:10.52846/ami.v49i1.1518

C. Choudhury, S. Debnath

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引用次数: 2

摘要

本文引入并研究了渐赋范线性空间中序列的有缺统计收敛性的概念。我们研究了它的一些基本性质和一些包含关系。最后，我们引入了有缺统计柯西序列的概念，并证明了它等价于有缺统计收敛的概念。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On lacunary statistical convergence of sequences in gradual normed linear spaces

In this paper, we introduce and investigate the notion of lacunary statistical convergence of sequences in gradual normed linear spaces. We study some of its basic properties and some inclusion relations. In the end, we introduce the notion of lacunary statistical Cauchy sequences and prove that it is equivalent to the notion of lacunary statistical convergence.

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来源期刊

Annals of the University of Craiova-Mathematics and Computer Science Series MATHEMATICS-

CiteScore

1.10

自引率

10.00%

发文量