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

Hua Wang, Jamroz Khan, Muhammad Adil Khan, Sadia Khalid, Rewayat Khan and Ahmet Ocak Akdemir

Journal of Mathematics, 2021, vol. 2021, 1-18

Abstract: 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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5516987

DOI: 10.1155/2021/5516987

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