S-度量空间中的统计收敛和粗略统计收敛

arXiv - MATH - General Topology Pub Date : 2024-08-27 DOI:arxiv-2408.14973

Sukila Khatun, Amar Kumar Banerjee

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引用次数: 0

摘要

本文利用自然密度的概念，介绍了$S$计量空间中的统计收敛和粗略统计收敛的概念，并研究了它们的一些基本性质。我们定义了序列的统计考奇性和统计有界性，然后研究了与这些观点相关的一些结果。我们定义了$S$计量空间中序列的粗糙统计极限点集，并证明了与这类收敛相关的一些结果。

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Statistical and rough statistical convergence in an S-metric space

In this paper, using the concept of natural density, we have introduced the ideas of statistical and rough statistical convergence in an $S$-metric space. We have investigated some of their basic properties. We have defined statistical Cauchyness and statistical boundedness of sequences and then some results related these ideas have been studied. We have defined the set of rough statistical limit points of a sequence in an $S$-metric space and have proved some relevant results associated with such type of convergence

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arXiv - MATH - General Topology

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