Some Dynamic Inequalities of Hilbert’s Type
This paper is concerned with deriving some new dynamic Hilbert-type inequalities on time scales. The basic idea in proving the results is using some algebraic inequalities, Hölder’s inequality and Jensen’s inequality, on time scales. As a special case of our results, we will obtain some integrals an...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/4976050 |
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| _version_ | 1832546851043147776 |
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| author | A. M. Ahmed Ghada AlNemer M. Zakarya H. M. Rezk |
| author_facet | A. M. Ahmed Ghada AlNemer M. Zakarya H. M. Rezk |
| author_sort | A. M. Ahmed |
| collection | DOAJ |
| description | This paper is concerned with deriving some new dynamic Hilbert-type inequalities on time scales. The basic idea in proving the results is using some algebraic inequalities, Hölder’s inequality and Jensen’s inequality, on time scales. As a special case of our results, we will obtain some integrals and their corresponding discrete inequalities of Hilbert’s type. |
| format | Article |
| id | doaj-art-04033f6d140e45c9859c1a63f94a5d80 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-04033f6d140e45c9859c1a63f94a5d802025-02-03T06:46:53ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/49760504976050Some Dynamic Inequalities of Hilbert’s TypeA. M. Ahmed0Ghada AlNemer1M. Zakarya2H. M. Rezk3Mathematics Department, College of Science, Jouf University, Sakaka (2014), Saudi ArabiaDepartment of Mathematical Science, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 105862, Riyadh 11656, Saudi ArabiaKing Khalid University, College of Science, Department of Mathematics, P.O. Box 9004, Z 61413 Abha, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, EgyptThis paper is concerned with deriving some new dynamic Hilbert-type inequalities on time scales. The basic idea in proving the results is using some algebraic inequalities, Hölder’s inequality and Jensen’s inequality, on time scales. As a special case of our results, we will obtain some integrals and their corresponding discrete inequalities of Hilbert’s type.http://dx.doi.org/10.1155/2020/4976050 |
| spellingShingle | A. M. Ahmed Ghada AlNemer M. Zakarya H. M. Rezk Some Dynamic Inequalities of Hilbert’s Type Journal of Function Spaces |
| title | Some Dynamic Inequalities of Hilbert’s Type |
| title_full | Some Dynamic Inequalities of Hilbert’s Type |
| title_fullStr | Some Dynamic Inequalities of Hilbert’s Type |
| title_full_unstemmed | Some Dynamic Inequalities of Hilbert’s Type |
| title_short | Some Dynamic Inequalities of Hilbert’s Type |
| title_sort | some dynamic inequalities of hilbert s type |
| url | http://dx.doi.org/10.1155/2020/4976050 |
| work_keys_str_mv | AT amahmed somedynamicinequalitiesofhilbertstype AT ghadaalnemer somedynamicinequalitiesofhilbertstype AT mzakarya somedynamicinequalitiesofhilbertstype AT hmrezk somedynamicinequalitiesofhilbertstype |