On Deferred Statistical Convergence of Sequences in Neutrosophic Normed Spaces
In this paper, we introduce the notion of deferred statistical convergence in the neutrosophic normed spaces as an extension of statistical convergence, $\lambda$-statistical convergence, and lacunary statistical convergence. We investigate a few fundamental properties of the newly introduced notion...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2022-10-01
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| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_255178_a3da41149a4a390d1aad88df2edd1453.pdf |
| _version_ | 1798019300760485888 |
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| author | Shyamal Debnath Santonu Debnath Chiranjib Choudhury |
| author_facet | Shyamal Debnath Santonu Debnath Chiranjib Choudhury |
| author_sort | Shyamal Debnath |
| collection | DOAJ |
| description | In this paper, we introduce the notion of deferred statistical convergence in the neutrosophic normed spaces as an extension of statistical convergence, $\lambda$-statistical convergence, and lacunary statistical convergence. We investigate a few fundamental properties of the newly introduced notion. Finally, we introduce the concept of deferred statistical Cauchy sequence and show that deferred statistical Cauchy sequences are equivalent to deferred statistical convergent sequences in the neutrosophic normed spaces. |
| first_indexed | 2024-04-11T16:38:31Z |
| format | Article |
| id | doaj.art-9a3fca1013064f3e951c15317a586cd8 |
| institution | Directory Open Access Journal |
| issn | 2322-5807 2423-3900 |
| language | English |
| last_indexed | 2024-04-11T16:38:31Z |
| publishDate | 2022-10-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj.art-9a3fca1013064f3e951c15317a586cd82022-12-22T04:13:45ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002022-10-01194819610.22130/scma.2022.544537.1031255178On Deferred Statistical Convergence of Sequences in Neutrosophic Normed SpacesShyamal Debnath0Santonu Debnath1Chiranjib Choudhury2Department of Mathematics, Tripura University (A Central University), Suryamaninagar-799022, Agartala, India.Department of Mathematics, Tripura University (A Central University), Suryamaninagar-799022, Agartala, India.Department of Mathematics, Tripura University (A Central University), Suryamaninagar-799022, Agartala, India.In this paper, we introduce the notion of deferred statistical convergence in the neutrosophic normed spaces as an extension of statistical convergence, $\lambda$-statistical convergence, and lacunary statistical convergence. We investigate a few fundamental properties of the newly introduced notion. Finally, we introduce the concept of deferred statistical Cauchy sequence and show that deferred statistical Cauchy sequences are equivalent to deferred statistical convergent sequences in the neutrosophic normed spaces.https://scma.maragheh.ac.ir/article_255178_a3da41149a4a390d1aad88df2edd1453.pdfdeferred densitydeferred statistical convergenceneutrosophic normed space |
| spellingShingle | Shyamal Debnath Santonu Debnath Chiranjib Choudhury On Deferred Statistical Convergence of Sequences in Neutrosophic Normed Spaces Sahand Communications in Mathematical Analysis deferred density deferred statistical convergence neutrosophic normed space |
| title | On Deferred Statistical Convergence of Sequences in Neutrosophic Normed Spaces |
| title_full | On Deferred Statistical Convergence of Sequences in Neutrosophic Normed Spaces |
| title_fullStr | On Deferred Statistical Convergence of Sequences in Neutrosophic Normed Spaces |
| title_full_unstemmed | On Deferred Statistical Convergence of Sequences in Neutrosophic Normed Spaces |
| title_short | On Deferred Statistical Convergence of Sequences in Neutrosophic Normed Spaces |
| title_sort | on deferred statistical convergence of sequences in neutrosophic normed spaces |
| topic | deferred density deferred statistical convergence neutrosophic normed space |
| url | https://scma.maragheh.ac.ir/article_255178_a3da41149a4a390d1aad88df2edd1453.pdf |
| work_keys_str_mv | AT shyamaldebnath ondeferredstatisticalconvergenceofsequencesinneutrosophicnormedspaces AT santonudebnath ondeferredstatisticalconvergenceofsequencesinneutrosophicnormedspaces AT chiranjibchoudhury ondeferredstatisticalconvergenceofsequencesinneutrosophicnormedspaces |