On Some Important Class of Dynamic Hilbert’s-Type Inequalities on Time Scales
In this important work, we discuss some novel Hilbert-type dynamic inequalities on time scales. The inequalities investigated here generalize several known dynamic inequalities on time scales and unify and extend some continuous inequalities and their corresponding discrete analogues. Our results wi...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-07-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/14/7/1395 |
| _version_ | 1797415417432506368 |
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| author | Hassan M. El-Owaidy Ahmed A. El-Deeb Samer D. Makharesh Dumitru Baleanu Clemente Cesarano |
| author_facet | Hassan M. El-Owaidy Ahmed A. El-Deeb Samer D. Makharesh Dumitru Baleanu Clemente Cesarano |
| author_sort | Hassan M. El-Owaidy |
| collection | DOAJ |
| description | In this important work, we discuss some novel Hilbert-type dynamic inequalities on time scales. The inequalities investigated here generalize several known dynamic inequalities on time scales and unify and extend some continuous inequalities and their corresponding discrete analogues. Our results will be proved by using some algebraic inequalities, Hölder inequality, and Jensen’s inequality on time scales. |
| first_indexed | 2024-03-09T05:48:21Z |
| format | Article |
| id | doaj.art-a5cb521306fb48b78dcac4a62b787518 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T05:48:21Z |
| publishDate | 2022-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-a5cb521306fb48b78dcac4a62b7875182023-12-03T12:19:45ZengMDPI AGSymmetry2073-89942022-07-01147139510.3390/sym14071395On Some Important Class of Dynamic Hilbert’s-Type Inequalities on Time ScalesHassan M. El-Owaidy0Ahmed A. El-Deeb1Samer D. Makharesh2Dumitru Baleanu3Clemente Cesarano4Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, EgyptDepartment of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, EgyptDepartment of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, EgyptInstitute of Space Science, 077125 Bucharest, RomaniaSection of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Rome, ItalyIn this important work, we discuss some novel Hilbert-type dynamic inequalities on time scales. The inequalities investigated here generalize several known dynamic inequalities on time scales and unify and extend some continuous inequalities and their corresponding discrete analogues. Our results will be proved by using some algebraic inequalities, Hölder inequality, and Jensen’s inequality on time scales.https://www.mdpi.com/2073-8994/14/7/1395dynamic Hilbert’s inequalitydynamic inequalitytime scales calculus |
| spellingShingle | Hassan M. El-Owaidy Ahmed A. El-Deeb Samer D. Makharesh Dumitru Baleanu Clemente Cesarano On Some Important Class of Dynamic Hilbert’s-Type Inequalities on Time Scales Symmetry dynamic Hilbert’s inequality dynamic inequality time scales calculus |
| title | On Some Important Class of Dynamic Hilbert’s-Type Inequalities on Time Scales |
| title_full | On Some Important Class of Dynamic Hilbert’s-Type Inequalities on Time Scales |
| title_fullStr | On Some Important Class of Dynamic Hilbert’s-Type Inequalities on Time Scales |
| title_full_unstemmed | On Some Important Class of Dynamic Hilbert’s-Type Inequalities on Time Scales |
| title_short | On Some Important Class of Dynamic Hilbert’s-Type Inequalities on Time Scales |
| title_sort | on some important class of dynamic hilbert s type inequalities on time scales |
| topic | dynamic Hilbert’s inequality dynamic inequality time scales calculus |
| url | https://www.mdpi.com/2073-8994/14/7/1395 |
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