Pólya–Szegö Integral Inequalities Using the Caputo–Fabrizio Approach
In this article, we establish some of the Pólya–Szegö and Minkowsky-type fractional integral inequalities by considering the Caputo–Fabrizio fractional integral. Moreover, we give some special cases of Pólya–Szegö inequalities.
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-02-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/11/2/79 |
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| author | Asha B. Nale Vaijanath L. Chinchane Satish K. Panchal Christophe Chesneau |
| author_facet | Asha B. Nale Vaijanath L. Chinchane Satish K. Panchal Christophe Chesneau |
| author_sort | Asha B. Nale |
| collection | DOAJ |
| description | In this article, we establish some of the Pólya–Szegö and Minkowsky-type fractional integral inequalities by considering the Caputo–Fabrizio fractional integral. Moreover, we give some special cases of Pólya–Szegö inequalities. |
| first_indexed | 2024-03-09T22:37:13Z |
| format | Article |
| id | doaj.art-ebbc338e64384ce89a8459aef4e159d4 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-09T22:37:13Z |
| publishDate | 2022-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-ebbc338e64384ce89a8459aef4e159d42023-11-23T18:47:21ZengMDPI AGAxioms2075-16802022-02-011127910.3390/axioms11020079Pólya–Szegö Integral Inequalities Using the Caputo–Fabrizio ApproachAsha B. Nale0Vaijanath L. Chinchane1Satish K. Panchal2Christophe Chesneau3Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad 431004, IndiaDepartment of Mathematics, Deogiri Institute of Engineering and Management Studies, Aurangabad 431005, IndiaDepartment of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad 431004, IndiaLMNO, University of Caen Normandie, 14032 Caen, FranceIn this article, we establish some of the Pólya–Szegö and Minkowsky-type fractional integral inequalities by considering the Caputo–Fabrizio fractional integral. Moreover, we give some special cases of Pólya–Szegö inequalities.https://www.mdpi.com/2075-1680/11/2/79Pólya–Szegö inequalityMinkowsky inequalityCaputo–Fabrizio fractional integrals |
| spellingShingle | Asha B. Nale Vaijanath L. Chinchane Satish K. Panchal Christophe Chesneau Pólya–Szegö Integral Inequalities Using the Caputo–Fabrizio Approach Axioms Pólya–Szegö inequality Minkowsky inequality Caputo–Fabrizio fractional integrals |
| title | Pólya–Szegö Integral Inequalities Using the Caputo–Fabrizio Approach |
| title_full | Pólya–Szegö Integral Inequalities Using the Caputo–Fabrizio Approach |
| title_fullStr | Pólya–Szegö Integral Inequalities Using the Caputo–Fabrizio Approach |
| title_full_unstemmed | Pólya–Szegö Integral Inequalities Using the Caputo–Fabrizio Approach |
| title_short | Pólya–Szegö Integral Inequalities Using the Caputo–Fabrizio Approach |
| title_sort | polya szego integral inequalities using the caputo fabrizio approach |
| topic | Pólya–Szegö inequality Minkowsky inequality Caputo–Fabrizio fractional integrals |
| url | https://www.mdpi.com/2075-1680/11/2/79 |
| work_keys_str_mv | AT ashabnale polyaszegointegralinequalitiesusingthecaputofabrizioapproach AT vaijanathlchinchane polyaszegointegralinequalitiesusingthecaputofabrizioapproach AT satishkpanchal polyaszegointegralinequalitiesusingthecaputofabrizioapproach AT christophechesneau polyaszegointegralinequalitiesusingthecaputofabrizioapproach |