Weighted dynamic Hardy-type inequalities involving many functions on arbitrary time scales
Abstract The objective of this paper is to prove some new dynamic inequalities of Hardy type on time scales which generalize and improve some recent results given in the literature. Further, we derive some new weighted Hardy dynamic inequalities involving many functions on time scales. As special ca...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-09-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-022-02854-5 |
| _version_ | 1818064664648482816 |
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| author | Ahmed A. El-Deeb Karim A. Mohamed Dumitru Baleanu Haytham M. Rezk |
| author_facet | Ahmed A. El-Deeb Karim A. Mohamed Dumitru Baleanu Haytham M. Rezk |
| author_sort | Ahmed A. El-Deeb |
| collection | DOAJ |
| description | Abstract The objective of this paper is to prove some new dynamic inequalities of Hardy type on time scales which generalize and improve some recent results given in the literature. Further, we derive some new weighted Hardy dynamic inequalities involving many functions on time scales. As special cases, we get continuous and discrete inequalities. |
| first_indexed | 2024-12-10T14:39:36Z |
| format | Article |
| id | doaj.art-d6a98e1f5a73478ba6f4115e42b927b8 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-10T14:39:36Z |
| publishDate | 2022-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-d6a98e1f5a73478ba6f4115e42b927b82022-12-22T01:44:44ZengSpringerOpenJournal of Inequalities and Applications1029-242X2022-09-012022112310.1186/s13660-022-02854-5Weighted dynamic Hardy-type inequalities involving many functions on arbitrary time scalesAhmed A. El-Deeb0Karim A. Mohamed1Dumitru Baleanu2Haytham M. Rezk3Department of Mathematics, Faculty of Science, Al-Azhar UniversityDepartment of Mathematics, Faculty of Science, Al-Azhar UniversityDepartment of Mathematics, Cankaya UniversityDepartment of Mathematics, Faculty of Science, Al-Azhar UniversityAbstract The objective of this paper is to prove some new dynamic inequalities of Hardy type on time scales which generalize and improve some recent results given in the literature. Further, we derive some new weighted Hardy dynamic inequalities involving many functions on time scales. As special cases, we get continuous and discrete inequalities.https://doi.org/10.1186/s13660-022-02854-5Delta derivativeHardy’s inequalityHölder’s inequalityTime scales |
| spellingShingle | Ahmed A. El-Deeb Karim A. Mohamed Dumitru Baleanu Haytham M. Rezk Weighted dynamic Hardy-type inequalities involving many functions on arbitrary time scales Journal of Inequalities and Applications Delta derivative Hardy’s inequality Hölder’s inequality Time scales |
| title | Weighted dynamic Hardy-type inequalities involving many functions on arbitrary time scales |
| title_full | Weighted dynamic Hardy-type inequalities involving many functions on arbitrary time scales |
| title_fullStr | Weighted dynamic Hardy-type inequalities involving many functions on arbitrary time scales |
| title_full_unstemmed | Weighted dynamic Hardy-type inequalities involving many functions on arbitrary time scales |
| title_short | Weighted dynamic Hardy-type inequalities involving many functions on arbitrary time scales |
| title_sort | weighted dynamic hardy type inequalities involving many functions on arbitrary time scales |
| topic | Delta derivative Hardy’s inequality Hölder’s inequality Time scales |
| url | https://doi.org/10.1186/s13660-022-02854-5 |
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