Fractional Integral Inequalities of Hermite–Hadamard Type for Differentiable Generalized h-Convex Functions
In the present paper, some fractional integral inequalities of Hermite–Hadamard type for functions whose derivatives are generalized h-convex are established. Moreover, several particular cases are also discussed which can be deduced from our results. As special cases, one can obtain several new ver...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/2301606 |
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| _version_ | 1832567804380839936 |
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| author | Yingxia Yang Muhammad Shoaib Saleem Mamoona Ghafoor Muhammad Imran Qureshi |
| author_facet | Yingxia Yang Muhammad Shoaib Saleem Mamoona Ghafoor Muhammad Imran Qureshi |
| author_sort | Yingxia Yang |
| collection | DOAJ |
| description | In the present paper, some fractional integral inequalities of Hermite–Hadamard type for functions whose derivatives are generalized h-convex are established. Moreover, several particular cases are also discussed which can be deduced from our results. As special cases, one can obtain several new versions of the results of generalized h-convexity for other various generalizations of convex functions. |
| format | Article |
| id | doaj-art-7fd27c52b21848a99251064f2bbcd7be |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-7fd27c52b21848a99251064f2bbcd7be2025-02-03T01:00:30ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/23016062301606Fractional Integral Inequalities of Hermite–Hadamard Type for Differentiable Generalized h-Convex FunctionsYingxia Yang0Muhammad Shoaib Saleem1Mamoona Ghafoor2Muhammad Imran Qureshi3School of Mathematics, Yunnan Normal University, Kunming 650500, ChinaDepartment of Mathematics, University of Okara, Okara 56300, PakistanDepartment of Mathematics, University of Okara, Okara 56300, PakistanDepartment of Mathematics, COMSATS University Islamabad, Vehari 61100, PakistanIn the present paper, some fractional integral inequalities of Hermite–Hadamard type for functions whose derivatives are generalized h-convex are established. Moreover, several particular cases are also discussed which can be deduced from our results. As special cases, one can obtain several new versions of the results of generalized h-convexity for other various generalizations of convex functions.http://dx.doi.org/10.1155/2020/2301606 |
| spellingShingle | Yingxia Yang Muhammad Shoaib Saleem Mamoona Ghafoor Muhammad Imran Qureshi Fractional Integral Inequalities of Hermite–Hadamard Type for Differentiable Generalized h-Convex Functions Journal of Mathematics |
| title | Fractional Integral Inequalities of Hermite–Hadamard Type for Differentiable Generalized h-Convex Functions |
| title_full | Fractional Integral Inequalities of Hermite–Hadamard Type for Differentiable Generalized h-Convex Functions |
| title_fullStr | Fractional Integral Inequalities of Hermite–Hadamard Type for Differentiable Generalized h-Convex Functions |
| title_full_unstemmed | Fractional Integral Inequalities of Hermite–Hadamard Type for Differentiable Generalized h-Convex Functions |
| title_short | Fractional Integral Inequalities of Hermite–Hadamard Type for Differentiable Generalized h-Convex Functions |
| title_sort | fractional integral inequalities of hermite hadamard type for differentiable generalized h convex functions |
| url | http://dx.doi.org/10.1155/2020/2301606 |
| work_keys_str_mv | AT yingxiayang fractionalintegralinequalitiesofhermitehadamardtypefordifferentiablegeneralizedhconvexfunctions AT muhammadshoaibsaleem fractionalintegralinequalitiesofhermitehadamardtypefordifferentiablegeneralizedhconvexfunctions AT mamoonaghafoor fractionalintegralinequalitiesofhermitehadamardtypefordifferentiablegeneralizedhconvexfunctions AT muhammadimranqureshi fractionalintegralinequalitiesofhermitehadamardtypefordifferentiablegeneralizedhconvexfunctions |