On Copson Ideal Convergent Sequence Spaces
The present work is an investigation of some new sequence spaces $c^{I}_{0}\left(C\right)$, $c^{I}\left(C\right)$, $\ell^{I}_{\infty}\left(C\right)$ and $\ell_{\infty}\left(C\right)$ as a domain of the triangle Copson matrix via ideal convergence over an admissible ideal of $\mathbb{N}$. Also, I wil...
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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 |
| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_712161_c88947a381505930e4034c837fb07de7.pdf |
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| _version_ | 1823859358714298368 |
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| author | Mohammad Idrisi Nazneen Khan Kavita Saini Mobeen Ahmad Yasmeen Manal Labadi |
| author_facet | Mohammad Idrisi Nazneen Khan Kavita Saini Mobeen Ahmad Yasmeen Manal Labadi |
| author_sort | Mohammad Idrisi |
| collection | DOAJ |
| description | The present work is an investigation of some new sequence spaces $c^{I}_{0}\left(C\right)$, $c^{I}\left(C\right)$, $\ell^{I}_{\infty}\left(C\right)$ and $\ell_{\infty}\left(C\right)$ as a domain of the triangle Copson matrix via ideal convergence over an admissible ideal of $\mathbb{N}$. Also, I will define some algebraic, topological properties and inclusion relations in these spaces. |
| format | Article |
| id | doaj-art-d2c0dbf32b964484aaa5f482091fa5aa |
| 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-d2c0dbf32b964484aaa5f482091fa5aa2025-02-11T05:27:31ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-07-0121321322610.22130/scma.2023.2003041.1340712161On Copson Ideal Convergent Sequence SpacesMohammad Idrisi0Nazneen Khan1Kavita Saini2Mobeen Ahmad3 Yasmeen4Manal Labadi5Department of Mathematics, University Institute of Sciences,Chandigarh University,Punjab, India.Department of Mathematics, Taibah University, Saudi Arabia.Department of Mathematics, University Institute of Sciences,Chandigarh University,Punjab, India.Department of Mathematics, School of Engineering, Presidency University, Bangalore, India.Department of Mathematics, Aligarh Muslim University, Aligarh, India.Department of Mathematics,Faculty of Arts and Sciences, University of Petra, Amman, Jordan.The present work is an investigation of some new sequence spaces $c^{I}_{0}\left(C\right)$, $c^{I}\left(C\right)$, $\ell^{I}_{\infty}\left(C\right)$ and $\ell_{\infty}\left(C\right)$ as a domain of the triangle Copson matrix via ideal convergence over an admissible ideal of $\mathbb{N}$. Also, I will define some algebraic, topological properties and inclusion relations in these spaces.https://scma.maragheh.ac.ir/article_712161_c88947a381505930e4034c837fb07de7.pdfcopson matrixcopson ideal convergenceideal convergenceidealfilter |
| spellingShingle | Mohammad Idrisi Nazneen Khan Kavita Saini Mobeen Ahmad Yasmeen Manal Labadi On Copson Ideal Convergent Sequence Spaces Sahand Communications in Mathematical Analysis copson matrix copson ideal convergence ideal convergence ideal filter |
| title | On Copson Ideal Convergent Sequence Spaces |
| title_full | On Copson Ideal Convergent Sequence Spaces |
| title_fullStr | On Copson Ideal Convergent Sequence Spaces |
| title_full_unstemmed | On Copson Ideal Convergent Sequence Spaces |
| title_short | On Copson Ideal Convergent Sequence Spaces |
| title_sort | on copson ideal convergent sequence spaces |
| topic | copson matrix copson ideal convergence ideal convergence ideal filter |
| url | https://scma.maragheh.ac.ir/article_712161_c88947a381505930e4034c837fb07de7.pdf |
| work_keys_str_mv | AT mohammadidrisi oncopsonidealconvergentsequencespaces AT nazneenkhan oncopsonidealconvergentsequencespaces AT kavitasaini oncopsonidealconvergentsequencespaces AT mobeenahmad oncopsonidealconvergentsequencespaces AT yasmeen oncopsonidealconvergentsequencespaces AT manallabadi oncopsonidealconvergentsequencespaces |