On Cesàro and Copson sequence spaces with weights
Abstract In this paper, we prove some properties of weighted Cesàro and Copson sequences spaces by establishing some factorization theorems. The results lead to two-sided norm discrete inequalities with best possible constants and also give conditions for the boundedness of the generalized discrete...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-020-02526-2 |
| _version_ | 1818418742314401792 |
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| author | S. H. Saker Maryam M. Abuelwafa Ahmed M. Zidan Dumitru Baleanu |
| author_facet | S. H. Saker Maryam M. Abuelwafa Ahmed M. Zidan Dumitru Baleanu |
| author_sort | S. H. Saker |
| collection | DOAJ |
| description | Abstract In this paper, we prove some properties of weighted Cesàro and Copson sequences spaces by establishing some factorization theorems. The results lead to two-sided norm discrete inequalities with best possible constants and also give conditions for the boundedness of the generalized discrete weighted Hardy and Copson operators. |
| first_indexed | 2024-12-14T12:27:30Z |
| format | Article |
| id | doaj.art-087cadf4965f4263b86e26e64cac76d6 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-14T12:27:30Z |
| publishDate | 2021-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-087cadf4965f4263b86e26e64cac76d62022-12-21T23:01:17ZengSpringerOpenJournal of Inequalities and Applications1029-242X2021-01-012021112310.1186/s13660-020-02526-2On Cesàro and Copson sequence spaces with weightsS. H. Saker0Maryam M. Abuelwafa1Ahmed M. Zidan2Dumitru Baleanu3Mathematics Division, Faculty of Basic Science, Galala UniversityDepartment of Mathematics, Faculty of Science, Mansoura UniversityDepartment of Mathematics, College of Science, King Khalid UniversityDepartment of Mathematics, Cankaya UniversityAbstract In this paper, we prove some properties of weighted Cesàro and Copson sequences spaces by establishing some factorization theorems. The results lead to two-sided norm discrete inequalities with best possible constants and also give conditions for the boundedness of the generalized discrete weighted Hardy and Copson operators.https://doi.org/10.1186/s13660-020-02526-2Cesàro sequences spaceCopson sequences spaceFactorizationsDiscrete Hardy’s operatorDiscrete Copson operator |
| spellingShingle | S. H. Saker Maryam M. Abuelwafa Ahmed M. Zidan Dumitru Baleanu On Cesàro and Copson sequence spaces with weights Journal of Inequalities and Applications Cesàro sequences space Copson sequences space Factorizations Discrete Hardy’s operator Discrete Copson operator |
| title | On Cesàro and Copson sequence spaces with weights |
| title_full | On Cesàro and Copson sequence spaces with weights |
| title_fullStr | On Cesàro and Copson sequence spaces with weights |
| title_full_unstemmed | On Cesàro and Copson sequence spaces with weights |
| title_short | On Cesàro and Copson sequence spaces with weights |
| title_sort | on cesaro and copson sequence spaces with weights |
| topic | Cesàro sequences space Copson sequences space Factorizations Discrete Hardy’s operator Discrete Copson operator |
| url | https://doi.org/10.1186/s13660-020-02526-2 |
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