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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| Format: | Article |
| Language: | English |
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University of Maragheh
2024-07-01
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| 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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| author | Reena Kumari Vijay Kumar Archana Sharma |
| author_facet | Reena Kumari Vijay Kumar Archana Sharma |
| author_sort | Reena Kumari |
| collection | DOAJ |
| description | 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 $\alpha(\ell) \leq u(\ell) < v(\ell) \leq \gamma(\ell)$. |
| format | Article |
| id | doaj-art-7c99778f7d284726969fa420f269c814 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-7c99778f7d284726969fa420f269c8142025-02-11T05:27:31ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-07-0121338741610.22130/scma.2023.2009788.1434712871On Deferred Statistical Summability in Intuitionistic Fuzzy $n$-Normed Linear SpaceReena Kumari0Vijay Kumar1Archana Sharma2Department Of Mathematics, Chandigarh University, Mohali, 140301, Punjab, India.Department Of Mathematics, Chandigarh University, Mohali, 140301, Punjab, India.Department Of Mathematics, Chandigarh University, Mohali, 140301, Punjab, India.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 $\alpha(\ell) \leq u(\ell) < v(\ell) \leq \gamma(\ell)$.https://scma.maragheh.ac.ir/article_712871_d168731844f4a4ef2552b140d2b40f52.pdfstatistical summabilitydeferred statistical summabilitydeferred statistical cauchy sequencedeferred statistical completenessintuitionistic fuzzy n-normed linear space |
| spellingShingle | Reena Kumari Vijay Kumar Archana Sharma On Deferred Statistical Summability in Intuitionistic Fuzzy $n$-Normed Linear Space Sahand Communications in Mathematical Analysis statistical summability deferred statistical summability deferred statistical cauchy sequence deferred statistical completeness intuitionistic fuzzy n-normed linear space |
| title | On Deferred Statistical Summability in Intuitionistic Fuzzy $n$-Normed Linear Space |
| title_full | On Deferred Statistical Summability in Intuitionistic Fuzzy $n$-Normed Linear Space |
| title_fullStr | On Deferred Statistical Summability in Intuitionistic Fuzzy $n$-Normed Linear Space |
| title_full_unstemmed | On Deferred Statistical Summability in Intuitionistic Fuzzy $n$-Normed Linear Space |
| title_short | On Deferred Statistical Summability in Intuitionistic Fuzzy $n$-Normed Linear Space |
| title_sort | on deferred statistical summability in intuitionistic fuzzy n normed linear space |
| topic | statistical summability deferred statistical summability deferred statistical cauchy sequence deferred statistical completeness intuitionistic fuzzy n-normed linear space |
| url | https://scma.maragheh.ac.ir/article_712871_d168731844f4a4ef2552b140d2b40f52.pdf |
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