渐赋范线性空间中序列的i收敛性

IF 0.5 Q3 MATHEMATICS Facta Universitatis-Series Mathematics and Informatics Pub Date : 2021-10-09 DOI:10.22190/fumi210108044c

C. Choudhury, S. Debnath

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引用次数: 3

摘要

本文引入了渐赋范线性空间中序列的$\mathcal{I}$和$\mathcal{I^{*}}-$收敛性的概念。研究了新定义的收敛概念的一些基本性质和蕴涵关系。在渐赋范线性空间中引入了$\mathcal{I}$和$\mathcal{I^{*}}-$柯西序列的概念，并研究了它们之间的关系。

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 I- CONVERGENCE OF SEQUENCES IN GRADUAL NORMED LINEAR SPACES

In this paper, we introduce the concepts of $\mathcal{I}$ and $\mathcal{I^{*}}-$convergence of sequences in gradual normed linear spaces. We study some basic properties and implication relations of the newly defined convergence concepts. Also, we introduce the notions of $\mathcal{I}$ and $\mathcal{I^{*}}-$Cauchy sequences in the gradual normed linear space and investigate the relations between them.

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Facta Universitatis-Series Mathematics and Informatics MATHEMATICS-

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