On Statistical Convergence of Order α in Neutrosophic Normed Spaces
In this paper, we introduce the notion of statistical convergent of order α in the neutrosophic normed spaces. We investigate a few properties of the newly introduced notion and examine the relationship with statistical convergence in the neutrosophic normed spaces. Finally, we introduce the concept...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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University of New Mexico
2023-10-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | https://fs.unm.edu/NSS/StatisticalConvergenceOrder18.pdf |
| _version_ | 1827792226361540608 |
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| author | Shyamal Debnath Bijoy Das Santonu Debnath Chiranjib Choudhury |
| author_facet | Shyamal Debnath Bijoy Das Santonu Debnath Chiranjib Choudhury |
| author_sort | Shyamal Debnath |
| collection | DOAJ |
| description | In this paper, we introduce the notion of statistical convergent of order α in the neutrosophic normed spaces. We investigate a few properties of the newly introduced notion and examine the relationship with statistical convergence in the neutrosophic normed spaces. Finally, we introduce the concept of statistical Cauchy sequence of order α and show that statistical Cauchy sequences of order α are equivalent to statistical convergent of order α sequences in the neutrosophic normed spaces. |
| first_indexed | 2024-03-11T17:58:50Z |
| format | Article |
| id | doaj.art-3d8a3e8f01c241e0b4d8c75ebb78b12b |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-03-11T17:58:50Z |
| publishDate | 2023-10-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-3d8a3e8f01c241e0b4d8c75ebb78b12b2023-10-17T10:07:57ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2023-10-015829931010.5281/zenodo.8404476On Statistical Convergence of Order α in Neutrosophic Normed SpacesShyamal DebnathBijoy DasSantonu DebnathChiranjib ChoudhuryIn this paper, we introduce the notion of statistical convergent of order α in the neutrosophic normed spaces. We investigate a few properties of the newly introduced notion and examine the relationship with statistical convergence in the neutrosophic normed spaces. Finally, we introduce the concept of statistical Cauchy sequence of order α and show that statistical Cauchy sequences of order α are equivalent to statistical convergent of order α sequences in the neutrosophic normed spaces.https://fs.unm.edu/NSS/StatisticalConvergenceOrder18.pdfα−densitystatistical convergent of order αneutrosophic normed space |
| spellingShingle | Shyamal Debnath Bijoy Das Santonu Debnath Chiranjib Choudhury On Statistical Convergence of Order α in Neutrosophic Normed Spaces Neutrosophic Sets and Systems α−density statistical convergent of order α neutrosophic normed space |
| title | On Statistical Convergence of Order α in Neutrosophic Normed Spaces |
| title_full | On Statistical Convergence of Order α in Neutrosophic Normed Spaces |
| title_fullStr | On Statistical Convergence of Order α in Neutrosophic Normed Spaces |
| title_full_unstemmed | On Statistical Convergence of Order α in Neutrosophic Normed Spaces |
| title_short | On Statistical Convergence of Order α in Neutrosophic Normed Spaces |
| title_sort | on statistical convergence of order α in neutrosophic normed spaces |
| topic | α−density statistical convergent of order α neutrosophic normed space |
| url | https://fs.unm.edu/NSS/StatisticalConvergenceOrder18.pdf |
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