关于粗糙统计的几点说明\(\Lambda\) -序的收敛性 \(\alpha\)

Q3 Mathematics

Ural Mathematical Journal Pub Date : 2021-07-30 DOI:10.15826/umj.2021.1.002

Reena Antal, Meenakshi Chawla, Vijay Kumar

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引用次数: 2

摘要

本工作的主要目的是在赋范线性空间中定义粗糙统计\(\Lambda\) -阶\(\alpha\)\((0<\alpha\leq1)\)的收敛性。证明了该方法的一些基本性质，并举例说明了该收敛方法比粗糙统计收敛方法具有更广泛的推广意义。进一步，我们展示了与统计上\(\Lambda\) -有界的阶集\(\alpha\)和粗略统计上\(\Lambda\) -收敛的阶序列集\(\alpha\)相关的结果。

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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SOME REMARKS ON ROUGH STATISTICAL \(\Lambda\)-CONVERGENCE OF ORDER \(\alpha\)

The main purpose of this work is to define Rough Statistical \(\Lambda\)-Convergence of order \(\alpha\) \((0<\alpha\leq1)\) in normed linear spaces. We have proved some basic properties and also provided some examples to show that this method of convergence is more generalized than the rough statistical convergence. Further, we have shown the results related to statistically \(\Lambda\)-bounded sets of order \(\alpha\) and sets of rough statistically \(\Lambda\)-convergent sequences of order \(\alpha\).

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来源期刊

Ural Mathematical Journal Mathematics-Mathematics (all)

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

16 weeks