Hermite–Hadamard and Fractional Integral Inequalities for Interval-Valued Generalized p-Convex Function
In the present paper, the new interval-valued generalized p convex functions are introduced. By using the notion of interval-valued generalized p convex functions and some auxiliary results of interval analysis, new Hermite–Hadamard and Fejér type inequalities are proved. The established results are...
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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/10.1155/2020/4606439 |
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| _version_ | 1832554048755073024 |
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| author | Zhengbo Li Kamran Muhammad Sajid Zahoor Huma Akhtar |
| author_facet | Zhengbo Li Kamran Muhammad Sajid Zahoor Huma Akhtar |
| author_sort | Zhengbo Li |
| collection | DOAJ |
| description | In the present paper, the new interval-valued generalized p convex functions are introduced. By using the notion of interval-valued generalized p convex functions and some auxiliary results of interval analysis, new Hermite–Hadamard and Fejér type inequalities are proved. The established results are more generalized than existing results in the literature. Moreover, fractional integral inequality for this generalization is also established. |
| format | Article |
| id | doaj-art-e644dc9ceb3e49e0b323eab58ba56e40 |
| 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-e644dc9ceb3e49e0b323eab58ba56e402025-02-03T05:52:31ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/46064394606439Hermite–Hadamard and Fractional Integral Inequalities for Interval-Valued Generalized p-Convex FunctionZhengbo Li0Kamran1Muhammad Sajid Zahoor2Huma Akhtar3Moutai Institute, RenHuai 564500, ChinaDepartment of Mathematics, Islamia College Peshawar, Peshawar, Khyber PakhtoonKhwa, PakistanDepartment of Mathematics, University of Okara, Okara, PakistanDepartment of Mathematics, University of Okara, Okara, PakistanIn the present paper, the new interval-valued generalized p convex functions are introduced. By using the notion of interval-valued generalized p convex functions and some auxiliary results of interval analysis, new Hermite–Hadamard and Fejér type inequalities are proved. The established results are more generalized than existing results in the literature. Moreover, fractional integral inequality for this generalization is also established.http://dx.doi.org/10.1155/2020/4606439 |
| spellingShingle | Zhengbo Li Kamran Muhammad Sajid Zahoor Huma Akhtar Hermite–Hadamard and Fractional Integral Inequalities for Interval-Valued Generalized p-Convex Function Journal of Mathematics |
| title | Hermite–Hadamard and Fractional Integral Inequalities for Interval-Valued Generalized p-Convex Function |
| title_full | Hermite–Hadamard and Fractional Integral Inequalities for Interval-Valued Generalized p-Convex Function |
| title_fullStr | Hermite–Hadamard and Fractional Integral Inequalities for Interval-Valued Generalized p-Convex Function |
| title_full_unstemmed | Hermite–Hadamard and Fractional Integral Inequalities for Interval-Valued Generalized p-Convex Function |
| title_short | Hermite–Hadamard and Fractional Integral Inequalities for Interval-Valued Generalized p-Convex Function |
| title_sort | hermite hadamard and fractional integral inequalities for interval valued generalized p convex function |
| url | http://dx.doi.org/10.1155/2020/4606439 |
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