Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function
The primary objective of this research is to establish the generalized fractional integral inequalities of Hermite-Hadamard-type for -convex functions and to explore some new Hermite-Hadamard-type inequalities in a form of Riemann-Liouville fractional integrals as well as classical integrals. It is...
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| Published in | Open mathematics (Warsaw, Poland) Vol. 18; no. 1; pp. 794 - 806 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Warsaw
De Gruyter
22.07.2020
De Gruyter Poland |
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| Online Access | Get full text |
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| Abstract | The primary objective of this research is to establish the generalized fractional integral inequalities of Hermite-Hadamard-type for
-convex functions and to explore some new Hermite-Hadamard-type inequalities in a form of Riemann-Liouville fractional integrals as well as classical integrals. It is worth mentioning that our work generalizes and extends the results appeared in the literature. |
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| AbstractList | The primary objective of this research is to establish the generalized fractional integral inequalities of Hermite-Hadamard-type for MT-convex functions and to explore some new Hermite-Hadamard-type inequalities in a form of Riemann-Liouville fractional integrals as well as classical integrals. It is worth mentioning that our work generalizes and extends the results appeared in the literature. The primary objective of this research is to establish the generalized fractional integral inequalities of Hermite-Hadamard-type for MT -convex functions and to explore some new Hermite-Hadamard-type inequalities in a form of Riemann-Liouville fractional integrals as well as classical integrals. It is worth mentioning that our work generalizes and extends the results appeared in the literature. The primary objective of this research is to establish the generalized fractional integral inequalities of Hermite-Hadamard-type for -convex functions and to explore some new Hermite-Hadamard-type inequalities in a form of Riemann-Liouville fractional integrals as well as classical integrals. It is worth mentioning that our work generalizes and extends the results appeared in the literature. |
| Author | Han, Jiangfeng Zeng, Huidan Mohammed, Pshtiwan Othman |
| Author_xml | – sequence: 1 givenname: Jiangfeng surname: Han fullname: Han, Jiangfeng email: hanjiangfengky@163.com organization: Department of Information and Statistics, Guangxi University of Finance and Economics, Nanning, Guangxi 530003, People’s Republic of China – sequence: 2 givenname: Pshtiwan Othman surname: Mohammed fullname: Mohammed, Pshtiwan Othman email: pshtiwansangawi@gmail.com organization: Key Laboratory for Ultrafine Materials of Ministry of Education, School of Materials Science and Engineering, East China University of Science and Technology, Shanghai 200237, China – sequence: 3 givenname: Huidan surname: Zeng fullname: Zeng, Huidan email: huidanzeng@163.com organization: Department of Information and Statistics, Guangxi University of Finance and Economics, Nanning, Guangxi 530003, People’s Republic of China |
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-convex functions and to... The primary objective of this research is to establish the generalized fractional integral inequalities of Hermite-Hadamard-type for MT -convex functions and... The primary objective of this research is to establish the generalized fractional integral inequalities of Hermite-Hadamard-type for MT-convex functions and to... |
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| SubjectTerms | 26A33 26D07 26D10 26D15 convex function Fractional calculus Inequalities integral inequalities Integrals mt-convex function Riemann-Liouville fractional integral |
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| Title | Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function |
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