On Deferred Statistical Summability in Intuitionistic Fuzzy $n$-Normed Linear Space

In this paper, we define strong deferred summability and deferred statistical summability in intuitionistic fuzzy \(n\)-normed linear spaces (briefly called IF-\(n\)-NLS) and study some of their properties. We also define deferred statistical Cauchy sequence deferred statistical completeness and cha...

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Bibliographic Details
Main Authors: Reena Kumari, Vijay Kumar, Archana Sharma
Format: Article
Language:English
Published: University of Maragheh 2024-07-01
Series:Sahand Communications in Mathematical Analysis
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Online Access:https://scma.maragheh.ac.ir/article_712871_d168731844f4a4ef2552b140d2b40f52.pdf
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Summary:In this paper, we define strong deferred summability and deferred statistical summability in intuitionistic fuzzy \(n\)-normed linear spaces (briefly called IF-\(n\)-NLS) and study some of their properties. We also define deferred statistical Cauchy sequence deferred statistical completeness and characterize deferred statistical summability in such spaces. Finally, we will compare deferred statistical summability for different pairs of sequences $\alpha(\ell)$, $\gamma(\ell)$,$u(\ell)$ and $v(\ell)$ satisfying $\alpha(\ell) \leq u(\ell) < v(\ell) \leq \gamma(\ell)$.
ISSN:2322-5807
2423-3900