The Hermite–Hadamard–Jensen–Mercer Type Inequalities for Riemann–Liouville Fractional Integral

The Hermite–Hadamard–Jensen–Mercer Type Inequalities for Riemann–Liouville Fractional Integral

In this paper, we give Hermite–Hadamard type inequalities of the Jensen–Mercer type for Riemann–Liouville fractional integrals. We prove integral identities, and with the help of these identities and some other eminent inequalities, such as Jensen, Hölder, and power mean inequalities, we obtain boun...

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Main Authors: Hua Wang, Jamroz Khan, Muhammad Adil Khan, Sadia Khalid, Rewayat Khan
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/5516987
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spelling doaj-e20135b8e1474435bcda726f9f69fc442021-05-24T00:15:22ZengHindawi LimitedJournal of Mathematics2314-47852021-01-01202110.1155/2021/5516987The Hermite–Hadamard–Jensen–Mercer Type Inequalities for Riemann–Liouville Fractional IntegralHua Wang0Jamroz Khan1Muhammad Adil Khan2Sadia Khalid3Rewayat Khan4School of Mathematics and Statistics Changsha University of Science and TechnologyGovernment College of Management SciencesDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsIn this paper, we give Hermite–Hadamard type inequalities of the Jensen–Mercer type for Riemann–Liouville fractional integrals. We prove integral identities, and with the help of these identities and some other eminent inequalities, such as Jensen, Hölder, and power mean inequalities, we obtain bounds for the difference of the newly obtained inequalities.http://dx.doi.org/10.1155/2021/5516987
collection DOAJ
language English
format Article
sources DOAJ
author Hua Wang
Jamroz Khan
Muhammad Adil Khan
Sadia Khalid
Rewayat Khan
spellingShingle Hua Wang
Jamroz Khan
Muhammad Adil Khan
Sadia Khalid
Rewayat Khan
The Hermite–Hadamard–Jensen–Mercer Type Inequalities for Riemann–Liouville Fractional Integral
Journal of Mathematics
author_facet Hua Wang
Jamroz Khan
Muhammad Adil Khan
Sadia Khalid
Rewayat Khan
author_sort Hua Wang
title The Hermite–Hadamard–Jensen–Mercer Type Inequalities for Riemann–Liouville Fractional Integral
title_short The Hermite–Hadamard–Jensen–Mercer Type Inequalities for Riemann–Liouville Fractional Integral
title_full The Hermite–Hadamard–Jensen–Mercer Type Inequalities for Riemann–Liouville Fractional Integral
title_fullStr The Hermite–Hadamard–Jensen–Mercer Type Inequalities for Riemann–Liouville Fractional Integral
title_full_unstemmed The Hermite–Hadamard–Jensen–Mercer Type Inequalities for Riemann–Liouville Fractional Integral
title_sort hermite–hadamard–jensen–mercer type inequalities for riemann–liouville fractional integral
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4785
publishDate 2021-01-01
description In this paper, we give Hermite–Hadamard type inequalities of the Jensen–Mercer type for Riemann–Liouville fractional integrals. We prove integral identities, and with the help of these identities and some other eminent inequalities, such as Jensen, Hölder, and power mean inequalities, we obtain bounds for the difference of the newly obtained inequalities.
url http://dx.doi.org/10.1155/2021/5516987
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