ON THE MODULAR SEQUENCE SPACES GENERATED BY THE CESÀRO MEAN
In this paper, the seminormed Ces\`aro difference sequence space \( \ell(\mathcal{F}_j, q, g, r, \mu, \Delta_{({s})}^{t}, \mathcal{C})\) is defined by using the generalized Orlicz function. Some algebraic and topological properties of the space \(\ell(\mathcal{F}_j, q, g, r, \mu, \Delta_{({s})}^{t...
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Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin.
2024-12-01
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| Series: | Ural Mathematical Journal |
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| Online Access: | https://umjuran.ru/index.php/umj/article/view/664 |
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| author | Sukhdev Singh Toseef Ahmed Malik |
| author_facet | Sukhdev Singh Toseef Ahmed Malik |
| author_sort | Sukhdev Singh |
| collection | DOAJ |
| description | In this paper, the seminormed Ces\`aro difference sequence space \( \ell(\mathcal{F}_j, q, g, r, \mu, \Delta_{({s})}^{t}, \mathcal{C})\) is defined by using the generalized Orlicz function. Some algebraic and topological properties of the space \(\ell(\mathcal{F}_j, q, g, r, \mu, \Delta_{({s})}^{t}, \mathcal{C}) \) are investigated. Various inclusion relations for this sequence space are also studied. |
| format | Article |
| id | doaj-art-c97af71fd9a44c74aa39c3ab956a4e5d |
| institution | Kabale University |
| issn | 2414-3952 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin. |
| record_format | Article |
| series | Ural Mathematical Journal |
| spelling | doaj-art-c97af71fd9a44c74aa39c3ab956a4e5d2024-12-29T12:47:21ZengKrasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin.Ural Mathematical Journal2414-39522024-12-0110210.15826/umj.2024.2.013223ON THE MODULAR SEQUENCE SPACES GENERATED BY THE CESÀRO MEANSukhdev Singh0Toseef Ahmed Malik1Agam Tutorials, Adampur Doaba-144102, Jalandhar, Punjab, India; Department of Mathematics, School of Chemical Engineering and Physical Sciences, Lovely Professional University, Phagwara-144411, PunjabDepartment of Mathematics, Govt. Boys Higher Secondary School, Darhal-185135, Jammu and Kashmir, India; Department of Mathematics, School of Chemical Engineering and Physical Sciences, Lovely Professional University, Phagwara-144411, PunjabIn this paper, the seminormed Ces\`aro difference sequence space \( \ell(\mathcal{F}_j, q, g, r, \mu, \Delta_{({s})}^{t}, \mathcal{C})\) is defined by using the generalized Orlicz function. Some algebraic and topological properties of the space \(\ell(\mathcal{F}_j, q, g, r, \mu, \Delta_{({s})}^{t}, \mathcal{C}) \) are investigated. Various inclusion relations for this sequence space are also studied.https://umjuran.ru/index.php/umj/article/view/664difference sequences, orlicz function, modular sequence, \(ak\)-space and \(bk\)-space |
| spellingShingle | Sukhdev Singh Toseef Ahmed Malik ON THE MODULAR SEQUENCE SPACES GENERATED BY THE CESÀRO MEAN Ural Mathematical Journal difference sequences, orlicz function, modular sequence, \(ak\)-space and \(bk\)-space |
| title | ON THE MODULAR SEQUENCE SPACES GENERATED BY THE CESÀRO MEAN |
| title_full | ON THE MODULAR SEQUENCE SPACES GENERATED BY THE CESÀRO MEAN |
| title_fullStr | ON THE MODULAR SEQUENCE SPACES GENERATED BY THE CESÀRO MEAN |
| title_full_unstemmed | ON THE MODULAR SEQUENCE SPACES GENERATED BY THE CESÀRO MEAN |
| title_short | ON THE MODULAR SEQUENCE SPACES GENERATED BY THE CESÀRO MEAN |
| title_sort | on the modular sequence spaces generated by the cesaro mean |
| topic | difference sequences, orlicz function, modular sequence, \(ak\)-space and \(bk\)-space |
| url | https://umjuran.ru/index.php/umj/article/view/664 |
| work_keys_str_mv | AT sukhdevsingh onthemodularsequencespacesgeneratedbythecesaromean AT toseefahmedmalik onthemodularsequencespacesgeneratedbythecesaromean |