Some Results on Cesàro summability in Intuitionistic Fuzzy $n$-normed linear Spaces
The concept of summability plays a central role in finding formal solutions of partial differential equations. In this paper, we introduce the concept of Cesàro summability in an intuitionistic fuzzy $n$-normed linear space (IFnNLS). We show that Cesàro summability method is regular in an IFnNLS, bu...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2022-02-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_248968_7ea9c44f0654c01e7983143d67b80b12.pdf |
| _version_ | 1818501623326965760 |
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| author | Pradip Debnath |
| author_facet | Pradip Debnath |
| author_sort | Pradip Debnath |
| collection | DOAJ |
| description | The concept of summability plays a central role in finding formal solutions of partial differential equations. In this paper, we introduce the concept of Cesàro summability in an intuitionistic fuzzy $n$-normed linear space (IFnNLS). We show that Cesàro summability method is regular in an IFnNLS, but Cesàro summability does not imply usual convergence in general. Further, we search for additional conditions under which the converse holds. |
| first_indexed | 2024-12-10T20:58:50Z |
| format | Article |
| id | doaj.art-930e76659a4749a3836243b8ff4f7a04 |
| institution | Directory Open Access Journal |
| issn | 2322-5807 2423-3900 |
| language | English |
| last_indexed | 2024-12-10T20:58:50Z |
| publishDate | 2022-02-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj.art-930e76659a4749a3836243b8ff4f7a042022-12-22T01:33:53ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002022-02-01191778710.22130/scma.2021.529567.933248968Some Results on Cesàro summability in Intuitionistic Fuzzy $n$-normed linear SpacesPradip Debnath0Department of Applied Science and Humanities, Assam University, Silchar, Cachar, Assam - 788011, India.The concept of summability plays a central role in finding formal solutions of partial differential equations. In this paper, we introduce the concept of Cesàro summability in an intuitionistic fuzzy $n$-normed linear space (IFnNLS). We show that Cesàro summability method is regular in an IFnNLS, but Cesàro summability does not imply usual convergence in general. Further, we search for additional conditions under which the converse holds.https://scma.maragheh.ac.ir/article_248968_7ea9c44f0654c01e7983143d67b80b12.pdfintuitionistic fuzzy $n$-normed linear spaceces`{a}ro summabilitytauberian theorem |
| spellingShingle | Pradip Debnath Some Results on Cesàro summability in Intuitionistic Fuzzy $n$-normed linear Spaces Sahand Communications in Mathematical Analysis intuitionistic fuzzy $n$-normed linear space ces`{a}ro summability tauberian theorem |
| title | Some Results on Cesàro summability in Intuitionistic Fuzzy $n$-normed linear Spaces |
| title_full | Some Results on Cesàro summability in Intuitionistic Fuzzy $n$-normed linear Spaces |
| title_fullStr | Some Results on Cesàro summability in Intuitionistic Fuzzy $n$-normed linear Spaces |
| title_full_unstemmed | Some Results on Cesàro summability in Intuitionistic Fuzzy $n$-normed linear Spaces |
| title_short | Some Results on Cesàro summability in Intuitionistic Fuzzy $n$-normed linear Spaces |
| title_sort | some results on cesaro summability in intuitionistic fuzzy n normed linear spaces |
| topic | intuitionistic fuzzy $n$-normed linear space ces`{a}ro summability tauberian theorem |
| url | https://scma.maragheh.ac.ir/article_248968_7ea9c44f0654c01e7983143d67b80b12.pdf |
| work_keys_str_mv | AT pradipdebnath someresultsoncesarosummabilityinintuitionisticfuzzynnormedlinearspaces |