Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their Generalizations
We prove new Hermite-Hadamard inequalities for conformable fractional integrals by using convex function, s-convex, and coordinate convex functions. We prove new Montgomery identity and by using this identity we obtain generalized Hermite-Hadamard type inequalities.
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/6928130 |
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| _version_ | 1832551433975627776 |
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| author | Muhammad Adil Khan Yu-Ming Chu Artion Kashuri Rozana Liko Gohar Ali |
| author_facet | Muhammad Adil Khan Yu-Ming Chu Artion Kashuri Rozana Liko Gohar Ali |
| author_sort | Muhammad Adil Khan |
| collection | DOAJ |
| description | We prove new Hermite-Hadamard inequalities for conformable fractional integrals by using convex function, s-convex, and coordinate convex functions. We prove new Montgomery identity and by using this identity we obtain generalized Hermite-Hadamard type inequalities. |
| format | Article |
| id | doaj-art-f3877713d11644af8b0c3c4f06332a94 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-f3877713d11644af8b0c3c4f06332a942025-02-03T06:01:34ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/69281306928130Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their GeneralizationsMuhammad Adil Khan0Yu-Ming Chu1Artion Kashuri2Rozana Liko3Gohar Ali4College of Science, Hunan City University, Yiyang 413000, ChinaDepartment of Mathematics, Huzhou University, Huzhou 3132000, ChinaDepartment of Mathematics, Faculty of Technical Science, University “Ismail Qemali”, Vlorë, AlbaniaDepartment of Mathematics, Faculty of Technical Science, University “Ismail Qemali”, Vlorë, AlbaniaDepartment of Mathematics, Islamia College, Peshawar 25000, PakistanWe prove new Hermite-Hadamard inequalities for conformable fractional integrals by using convex function, s-convex, and coordinate convex functions. We prove new Montgomery identity and by using this identity we obtain generalized Hermite-Hadamard type inequalities.http://dx.doi.org/10.1155/2018/6928130 |
| spellingShingle | Muhammad Adil Khan Yu-Ming Chu Artion Kashuri Rozana Liko Gohar Ali Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their Generalizations Journal of Function Spaces |
| title | Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their Generalizations |
| title_full | Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their Generalizations |
| title_fullStr | Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their Generalizations |
| title_full_unstemmed | Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their Generalizations |
| title_short | Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their Generalizations |
| title_sort | conformable fractional integrals versions of hermite hadamard inequalities and their generalizations |
| url | http://dx.doi.org/10.1155/2018/6928130 |
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