Hadamard-Type k-Fractional Integral Inequalities for Exponentially α,h−m-Convex Functions
The class of exponentially α,h−m-convex functions has been discovered to unify different kinds of convexities. This paper finds new Riemann–Liouville fractional Hadamard-type inequalities for this generalized class of convex functions. These results further have their consequences which are presente...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/6815056 |
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| _version_ | 1832561191591870464 |
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| author | Chahn Yong Jung Ghulam Farid Sidra Bibi Kottakkaran Sooppy Nisar Shin Min Kang |
| author_facet | Chahn Yong Jung Ghulam Farid Sidra Bibi Kottakkaran Sooppy Nisar Shin Min Kang |
| author_sort | Chahn Yong Jung |
| collection | DOAJ |
| description | The class of exponentially α,h−m-convex functions has been discovered to unify different kinds of convexities. This paper finds new Riemann–Liouville fractional Hadamard-type inequalities for this generalized class of convex functions. These results further have their consequences which are presented in the form of corollaries. Moreover, some known results are identified in the form of remarks. |
| format | Article |
| id | doaj-art-f96dd6fc994049be9d982fe95ce7b0f6 |
| 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-f96dd6fc994049be9d982fe95ce7b0f62025-02-03T01:25:46ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/68150566815056Hadamard-Type k-Fractional Integral Inequalities for Exponentially α,h−m-Convex FunctionsChahn Yong Jung0Ghulam Farid1Sidra Bibi2Kottakkaran Sooppy Nisar3Shin Min Kang4Department of Business Administration Gyeongsang National University, Jinju 52828, Republic of KoreaDepartment of Mathematics, COMSATS University Islamabad, Attock Camopus Kamra Road, Attock 43600, PakistanGovt. Girls Primary School, Kamra Khurd, Attock 43570, PakistanDepartment of Mathematics, College of Arts and Sciences, Prince Sattam Bin Abdulaziz University, Wadi Aldawaser 11991, Saudi ArabiaDepartment of Mathematics and RINS, Gyeongsang National University, Jinju 52828, Republic of KoreaThe class of exponentially α,h−m-convex functions has been discovered to unify different kinds of convexities. This paper finds new Riemann–Liouville fractional Hadamard-type inequalities for this generalized class of convex functions. These results further have their consequences which are presented in the form of corollaries. Moreover, some known results are identified in the form of remarks.http://dx.doi.org/10.1155/2020/6815056 |
| spellingShingle | Chahn Yong Jung Ghulam Farid Sidra Bibi Kottakkaran Sooppy Nisar Shin Min Kang Hadamard-Type k-Fractional Integral Inequalities for Exponentially α,h−m-Convex Functions Journal of Mathematics |
| title | Hadamard-Type k-Fractional Integral Inequalities for Exponentially α,h−m-Convex Functions |
| title_full | Hadamard-Type k-Fractional Integral Inequalities for Exponentially α,h−m-Convex Functions |
| title_fullStr | Hadamard-Type k-Fractional Integral Inequalities for Exponentially α,h−m-Convex Functions |
| title_full_unstemmed | Hadamard-Type k-Fractional Integral Inequalities for Exponentially α,h−m-Convex Functions |
| title_short | Hadamard-Type k-Fractional Integral Inequalities for Exponentially α,h−m-Convex Functions |
| title_sort | hadamard type k fractional integral inequalities for exponentially α h m convex functions |
| url | http://dx.doi.org/10.1155/2020/6815056 |
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