Generalized Fractional Integral Inequalities for $(h,m,s)$-Convex Modified Functions of Second Type
New variants of the Hermite - Hadamard inequality within the framework of generalized fractional integrals for $(h,m,s)$-convex modified second type functions have been obtained in this article. To achieve these results, we used the Holder inequality and another form of it - power means. Some of the...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2024-03-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_708589_55461f4bc741f300c7c68745eaee9074.pdf |
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| _version_ | 1823859400413020160 |
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| author | Juan Napoles Valdes Bahtiyar Bayraktar |
| author_facet | Juan Napoles Valdes Bahtiyar Bayraktar |
| author_sort | Juan Napoles Valdes |
| collection | DOAJ |
| description | New variants of the Hermite - Hadamard inequality within the framework of generalized fractional integrals for $(h,m,s)$-convex modified second type functions have been obtained in this article. To achieve these results, we used the Holder inequality and another form of it - power means. Some of the known results described in the literature can be considered as particular cases of the results obtained in our study. |
| format | Article |
| id | doaj-art-6de9fb5c441141a5a3ece6a3ddec4b07 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-03-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-6de9fb5c441141a5a3ece6a3ddec4b072025-02-11T05:24:46ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-03-01212698210.22130/scma.2023.2002132.1323708589Generalized Fractional Integral Inequalities for $(h,m,s)$-Convex Modified Functions of Second TypeJuan Napoles Valdes0Bahtiyar Bayraktar1UNNE, FaCENA, Ave. Libertad 5450, Corrientes 3400, Argentina.Bursa Uludag University, Faculty of Education Gorukle Capus, Bursa, Turkey.New variants of the Hermite - Hadamard inequality within the framework of generalized fractional integrals for $(h,m,s)$-convex modified second type functions have been obtained in this article. To achieve these results, we used the Holder inequality and another form of it - power means. Some of the known results described in the literature can be considered as particular cases of the results obtained in our study.https://scma.maragheh.ac.ir/article_708589_55461f4bc741f300c7c68745eaee9074.pdfconvex functionhermite-hadamard inequalityh\"{o}lder inequalitypower mean inequality |
| spellingShingle | Juan Napoles Valdes Bahtiyar Bayraktar Generalized Fractional Integral Inequalities for $(h,m,s)$-Convex Modified Functions of Second Type Sahand Communications in Mathematical Analysis convex function hermite-hadamard inequality h\"{o}lder inequality power mean inequality |
| title | Generalized Fractional Integral Inequalities for $(h,m,s)$-Convex Modified Functions of Second Type |
| title_full | Generalized Fractional Integral Inequalities for $(h,m,s)$-Convex Modified Functions of Second Type |
| title_fullStr | Generalized Fractional Integral Inequalities for $(h,m,s)$-Convex Modified Functions of Second Type |
| title_full_unstemmed | Generalized Fractional Integral Inequalities for $(h,m,s)$-Convex Modified Functions of Second Type |
| title_short | Generalized Fractional Integral Inequalities for $(h,m,s)$-Convex Modified Functions of Second Type |
| title_sort | generalized fractional integral inequalities for h m s convex modified functions of second type |
| topic | convex function hermite-hadamard inequality h\"{o}lder inequality power mean inequality |
| url | https://scma.maragheh.ac.ir/article_708589_55461f4bc741f300c7c68745eaee9074.pdf |
| work_keys_str_mv | AT juannapolesvaldes generalizedfractionalintegralinequalitiesforhmsconvexmodifiedfunctionsofsecondtype AT bahtiyarbayraktar generalizedfractionalintegralinequalitiesforhmsconvexmodifiedfunctionsofsecondtype |