n 规范空间中双序列的粗略收敛性

Mathematical Sciences and Applications E-Notes Pub Date : 2023-07-13 DOI:10.36753/mathenot.1308678

Mukaddes Arslan, Ramazan Sunar

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摘要

在这项研究中，我们介绍了粗糙收敛、粗糙考奇双序列和双序列粗糙极限点集合的概念，以及在 n 规范空间中与该集合相关的粗糙收敛准则。随后，我们证明了这个集合既是封闭的又是凸的。最后，我们介绍了 n 规范空间中粗糙收敛与粗糙考奇双序列之间的关系。

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Rough Convergence of Double Sequence in n-Normed Spaces

In this study, we introduced the concepts of rough convergence, rough Cauchy double sequence and the set of rough limit points of a double sequence, as well as the rough convergence criteria associated with this set in n-normed spaces. Later, we proved that this set is both closed and convex. Finally, we presented the relationships between rough convergence and rough Cauchy double sequence in n -normed spaces.

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Mathematical Sciences and Applications E-Notes

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