Fractional Leindler’s Inequalities via Conformable Calculus
In this paper, some fractional Leindler and Hardy-type inequalities and their reversed will be proved by using integration by parts and Hölder inequality on conformable fractional calculus. As a special case, some classical integral inequalities will be obtained. Symmetrical properties play an essen...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-09-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/10/1958 |
| _version_ | 1797469830102646784 |
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| author | Ghada AlNemer Mohammed R. Kenawy Haytham M. Rezk Ahmed A. El-Deeb Mohammed Zakarya |
| author_facet | Ghada AlNemer Mohammed R. Kenawy Haytham M. Rezk Ahmed A. El-Deeb Mohammed Zakarya |
| author_sort | Ghada AlNemer |
| collection | DOAJ |
| description | In this paper, some fractional Leindler and Hardy-type inequalities and their reversed will be proved by using integration by parts and Hölder inequality on conformable fractional calculus. As a special case, some classical integral inequalities will be obtained. Symmetrical properties play an essential role in determining the correct methods to solve inequalities. The new fractional inequalities in special cases yield some recent relevance, which also provide new estimates on inequalities of these type. |
| first_indexed | 2024-03-09T19:26:37Z |
| format | Article |
| id | doaj.art-326b1d20511f4efea75ca2f7e35ef580 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T19:26:37Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-326b1d20511f4efea75ca2f7e35ef5802023-11-24T02:49:39ZengMDPI AGSymmetry2073-89942022-09-011410195810.3390/sym14101958Fractional Leindler’s Inequalities via Conformable CalculusGhada AlNemer0Mohammed R. Kenawy1Haytham M. Rezk2Ahmed A. El-Deeb3Mohammed Zakarya4Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Fayoum University, Fayoum 63514, EgyptDepartment of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, EgyptDepartment of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, EgyptDepartment of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi ArabiaIn this paper, some fractional Leindler and Hardy-type inequalities and their reversed will be proved by using integration by parts and Hölder inequality on conformable fractional calculus. As a special case, some classical integral inequalities will be obtained. Symmetrical properties play an essential role in determining the correct methods to solve inequalities. The new fractional inequalities in special cases yield some recent relevance, which also provide new estimates on inequalities of these type.https://www.mdpi.com/2073-8994/14/10/1958fractional Hardy’s inequalityconformable fractional integralconformable fractional derivativeHölder inequality |
| spellingShingle | Ghada AlNemer Mohammed R. Kenawy Haytham M. Rezk Ahmed A. El-Deeb Mohammed Zakarya Fractional Leindler’s Inequalities via Conformable Calculus Symmetry fractional Hardy’s inequality conformable fractional integral conformable fractional derivative Hölder inequality |
| title | Fractional Leindler’s Inequalities via Conformable Calculus |
| title_full | Fractional Leindler’s Inequalities via Conformable Calculus |
| title_fullStr | Fractional Leindler’s Inequalities via Conformable Calculus |
| title_full_unstemmed | Fractional Leindler’s Inequalities via Conformable Calculus |
| title_short | Fractional Leindler’s Inequalities via Conformable Calculus |
| title_sort | fractional leindler s inequalities via conformable calculus |
| topic | fractional Hardy’s inequality conformable fractional integral conformable fractional derivative Hölder inequality |
| url | https://www.mdpi.com/2073-8994/14/10/1958 |
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