Perspectives on Dynamic Hardy–Littlewood Inequalities in Time Scale Analysis
This study demonstrates several novel dynamic inequalities of the Hardy and Littlewood types on time scales. As special cases, our studies include Hardy’s integral inequalities and Hardy and Littlewood’s discrete inequalities. The research findings are demonstrated using algebraic inequalities, Höld...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-07-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/13/13/2176 |
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| author | Taher S. Hassan Wafy M. Hasan Ioan-Lucian Popa Mouataz Billah Mesmouli Akbar Ali Haytham M. Rezk |
| author_facet | Taher S. Hassan Wafy M. Hasan Ioan-Lucian Popa Mouataz Billah Mesmouli Akbar Ali Haytham M. Rezk |
| author_sort | Taher S. Hassan |
| collection | DOAJ |
| description | This study demonstrates several novel dynamic inequalities of the Hardy and Littlewood types on time scales. As special cases, our studies include Hardy’s integral inequalities and Hardy and Littlewood’s discrete inequalities. The research findings are demonstrated using algebraic inequalities, Hölder’s inequality, and the chain rule on time scales. |
| format | Article |
| id | doaj-art-1935a291a7934addb91bb0375cf8c0ce |
| institution | DOAJ |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-1935a291a7934addb91bb0375cf8c0ce2025-08-20T03:16:47ZengMDPI AGMathematics2227-73902025-07-011313217610.3390/math13132176Perspectives on Dynamic Hardy–Littlewood Inequalities in Time Scale AnalysisTaher S. Hassan0Wafy M. Hasan1Ioan-Lucian Popa2Mouataz Billah Mesmouli3Akbar Ali4Haytham M. Rezk5Department of Mathematics, College of Science, University of Ha’il, Ha’il 2440, Saudi ArabiaDepartment of Basic Sciences, Faculty of Engineering Technology, El Sewedy University of Technology, Cairo 44916, EgyptDepartment of Computing, Mathematics and Electronics, 1 Decembrie 1918 University of Alba Iulia, 510009 Alba Iulia, RomaniaDepartment of Mathematics, College of Science, University of Ha’il, Ha’il 2440, Saudi ArabiaDepartment of Mathematics, College of Science, University of Ha’il, Ha’il 2440, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Al-Azhar University, Cairo 11884, EgyptThis study demonstrates several novel dynamic inequalities of the Hardy and Littlewood types on time scales. As special cases, our studies include Hardy’s integral inequalities and Hardy and Littlewood’s discrete inequalities. The research findings are demonstrated using algebraic inequalities, Hölder’s inequality, and the chain rule on time scales.https://www.mdpi.com/2227-7390/13/13/2176time scalesdynamic inequalityHardy–Littlewood inequalitiesHardy’s inequalitiesHölder’s inequality |
| spellingShingle | Taher S. Hassan Wafy M. Hasan Ioan-Lucian Popa Mouataz Billah Mesmouli Akbar Ali Haytham M. Rezk Perspectives on Dynamic Hardy–Littlewood Inequalities in Time Scale Analysis Mathematics time scales dynamic inequality Hardy–Littlewood inequalities Hardy’s inequalities Hölder’s inequality |
| title | Perspectives on Dynamic Hardy–Littlewood Inequalities in Time Scale Analysis |
| title_full | Perspectives on Dynamic Hardy–Littlewood Inequalities in Time Scale Analysis |
| title_fullStr | Perspectives on Dynamic Hardy–Littlewood Inequalities in Time Scale Analysis |
| title_full_unstemmed | Perspectives on Dynamic Hardy–Littlewood Inequalities in Time Scale Analysis |
| title_short | Perspectives on Dynamic Hardy–Littlewood Inequalities in Time Scale Analysis |
| title_sort | perspectives on dynamic hardy littlewood inequalities in time scale analysis |
| topic | time scales dynamic inequality Hardy–Littlewood inequalities Hardy’s inequalities Hölder’s inequality |
| url | https://www.mdpi.com/2227-7390/13/13/2176 |
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