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arXiv 2408.14973math.GN
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S-度量空间中的统计收敛与粗糙统计收敛

Statistical and rough statistical convergence in an S-metric space

Sukila Khatun, Amar Kumar Banerjee

AI总结:

本文在S-度量空间中引入统计与粗糙统计收敛的概念,定义了序列的统计柯西性、有界性及粗糙统计极限点集,并证明了相关性质与结果。

摘要:

本文利用自然密度的概念,在S-度量空间中引入了统计与粗糙统计收敛的思想。我们研究了它们的一些基本性质。我们定义了序列的统计柯西性与统计有界性,并研究了与这些概念相关的一些结果。我们在S-度量空间中定义了序列的粗糙统计极限点集,并证明了与此类收敛相关的一些结果。

英文摘要:

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

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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