赋范线性空间中序列$ i ^*$和$ i ^ k $的粗糙收敛性

IF 0.5 Q3 MATHEMATICS Facta Universitatis-Series Mathematics and Informatics Pub Date : 2021-02-13 DOI:10.22190/fumi210921038b

A. Banerjee, Anirban Paul

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引用次数: 1

摘要

本文首先引入了赋范线性空间中I^*$-粗糙收敛的概念，作为I$-粗糙收敛的推广工作，然后以更一般的方式引入了I^K$-粗糙收敛的概念。然后我们研究了这两个新引入的思想的一些性质。我们还研究了粗糙$I$收敛与粗糙$I^*$收敛和粗糙$I^K$收敛之间的关系。

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 ROUGH $I^*$ AND $I^K$-CONVERGENCE OF SEQUENCES IN NORMED LINEAR SPACES

In this paper, we have introduced first the notion of rough $I^*$-convergence in a normed linear space as an extension work of rough $I$-convergence and then rough $I^K$-convergence in more general way. Then we have studied some properties on these two newly introduced ideas. We also examined the relationship between rough $I$-convergence with both of rough $I^*$-convergence and rough $I^K$-convergence.

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Facta Universitatis-Series Mathematics and Informatics MATHEMATICS-

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