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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics
2024-12-01
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| Series: | Ural Mathematical Journal |
| Subjects: | |
| Online Access: | https://umjuran.ru/index.php/umj/article/view/664 |
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| Summary: | 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. |
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| ISSN: | 2414-3952 |