Refinement multidimensional dynamic inequalities with general kernels and measures
Abstract Using the properties of superquadratic and subquadratic functions, we establish some new refinement multidimensional dynamic inequalities of Hardy’s type on time scales. Our results contain some of the recent results related to classical multidimensional Hardy’s and Pólya–Knopp’s inequaliti...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-12-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-019-2255-8 |
| _version_ | 1818427805402136576 |
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| author | Samir H. Saker Haytham M. Rezk Islam Abohela Dumitru Baleanu |
| author_facet | Samir H. Saker Haytham M. Rezk Islam Abohela Dumitru Baleanu |
| author_sort | Samir H. Saker |
| collection | DOAJ |
| description | Abstract Using the properties of superquadratic and subquadratic functions, we establish some new refinement multidimensional dynamic inequalities of Hardy’s type on time scales. Our results contain some of the recent results related to classical multidimensional Hardy’s and Pólya–Knopp’s inequalities on time scales. To show motivation of the paper, we apply our results to obtain some particular multidimensional cases and provide refinements of some Hardy-type inequalities known in the literature. |
| first_indexed | 2024-12-14T14:51:34Z |
| format | Article |
| id | doaj.art-84692fe46a8a44dda6ca8b7a383410c5 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-14T14:51:34Z |
| publishDate | 2019-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-84692fe46a8a44dda6ca8b7a383410c52022-12-21T22:57:08ZengSpringerOpenJournal of Inequalities and Applications1029-242X2019-12-012019111610.1186/s13660-019-2255-8Refinement multidimensional dynamic inequalities with general kernels and measuresSamir H. Saker0Haytham M. Rezk1Islam Abohela2Dumitru Baleanu3Department of Mathematics, Faculty of Science, Mansoura UniversityDepartment of Mathematics, Faculty of Science, Al-Azhar UniversityCollege of Engineering, Applied Science UniversityDepartment of Mathematics, Cankaya UniversityAbstract Using the properties of superquadratic and subquadratic functions, we establish some new refinement multidimensional dynamic inequalities of Hardy’s type on time scales. Our results contain some of the recent results related to classical multidimensional Hardy’s and Pólya–Knopp’s inequalities on time scales. To show motivation of the paper, we apply our results to obtain some particular multidimensional cases and provide refinements of some Hardy-type inequalities known in the literature.https://doi.org/10.1186/s13660-019-2255-8Hardy-type inequalityPólya–Knopp-type inequalitiesSuperquadratic (subquadratic) functionsHardy’s integral operator with kernelTime scales |
| spellingShingle | Samir H. Saker Haytham M. Rezk Islam Abohela Dumitru Baleanu Refinement multidimensional dynamic inequalities with general kernels and measures Journal of Inequalities and Applications Hardy-type inequality Pólya–Knopp-type inequalities Superquadratic (subquadratic) functions Hardy’s integral operator with kernel Time scales |
| title | Refinement multidimensional dynamic inequalities with general kernels and measures |
| title_full | Refinement multidimensional dynamic inequalities with general kernels and measures |
| title_fullStr | Refinement multidimensional dynamic inequalities with general kernels and measures |
| title_full_unstemmed | Refinement multidimensional dynamic inequalities with general kernels and measures |
| title_short | Refinement multidimensional dynamic inequalities with general kernels and measures |
| title_sort | refinement multidimensional dynamic inequalities with general kernels and measures |
| topic | Hardy-type inequality Pólya–Knopp-type inequalities Superquadratic (subquadratic) functions Hardy’s integral operator with kernel Time scales |
| url | https://doi.org/10.1186/s13660-019-2255-8 |
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