On Hardy-Hilbert-type inequalities with α-fractional derivatives
In the current manuscript, new alpha delta dynamic Hardy-Hilbert inequalities on time scales are discussed. These inequalities combine and expand a number of continuous inequalities and their corresponding discrete analogues in the literature. We shall illustrate our results using Hölder's ineq...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-07-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231126?viewType=HTML |
| _version_ | 1797771662866776064 |
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| author | Marwa M. Ahmed Wael S. Hassanein Marwa Sh. Elsayed Dumitru Baleanu Ahmed A. El-Deeb |
| author_facet | Marwa M. Ahmed Wael S. Hassanein Marwa Sh. Elsayed Dumitru Baleanu Ahmed A. El-Deeb |
| author_sort | Marwa M. Ahmed |
| collection | DOAJ |
| description | In the current manuscript, new alpha delta dynamic Hardy-Hilbert inequalities on time scales are discussed. These inequalities combine and expand a number of continuous inequalities and their corresponding discrete analogues in the literature. We shall illustrate our results using Hölder's inequality on time scales and a few algebraic inequalities. |
| first_indexed | 2024-03-12T21:40:50Z |
| format | Article |
| id | doaj.art-db3e8118c8174384a8c5bef20bd389eb |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-12T21:40:50Z |
| publishDate | 2023-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-db3e8118c8174384a8c5bef20bd389eb2023-07-27T01:13:15ZengAIMS PressAIMS Mathematics2473-69882023-07-0189220972211110.3934/math.20231126On Hardy-Hilbert-type inequalities with α-fractional derivativesMarwa M. Ahmed0Wael S. Hassanein1Marwa Sh. Elsayed2Dumitru Baleanu 3Ahmed A. El-Deeb 41. Department of Electrical and Computer Engineering, Faculty of Engineering-Girls Campus, King Abdulaziz University, Jeddah, Saudi Arabia2. Department of industrial Engineering Faculty of Engineering King Abdulaziz University, Jeddah, Saudi Arabia3. Institute of Culture and Science, 6th October City, Cairo 13759, Egypt4. Institute of Space Science, Magurele-Bucharest, Romania 5. Department of Mathematics, Cankaya University, Ankara 06530, Turkey 6. Department of Medical Research, China Medical University, 40402, Taiwan7. Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, EgyptIn the current manuscript, new alpha delta dynamic Hardy-Hilbert inequalities on time scales are discussed. These inequalities combine and expand a number of continuous inequalities and their corresponding discrete analogues in the literature. We shall illustrate our results using Hölder's inequality on time scales and a few algebraic inequalities.https://www.aimspress.com/article/doi/10.3934/math.20231126?viewType=HTMLsteffensen's inequalitydynamic inequalitydynamic integraltime scale |
| spellingShingle | Marwa M. Ahmed Wael S. Hassanein Marwa Sh. Elsayed Dumitru Baleanu Ahmed A. El-Deeb On Hardy-Hilbert-type inequalities with α-fractional derivatives AIMS Mathematics steffensen's inequality dynamic inequality dynamic integral time scale |
| title | On Hardy-Hilbert-type inequalities with α-fractional derivatives |
| title_full | On Hardy-Hilbert-type inequalities with α-fractional derivatives |
| title_fullStr | On Hardy-Hilbert-type inequalities with α-fractional derivatives |
| title_full_unstemmed | On Hardy-Hilbert-type inequalities with α-fractional derivatives |
| title_short | On Hardy-Hilbert-type inequalities with α-fractional derivatives |
| title_sort | on hardy hilbert type inequalities with α fractional derivatives |
| topic | steffensen's inequality dynamic inequality dynamic integral time scale |
| url | https://www.aimspress.com/article/doi/10.3934/math.20231126?viewType=HTML |
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