The Hermite–Hadamard–Jensen–Mercer Type Inequalities for Riemann–Liouville Fractional Integral. (15th May 2021)

• Record Type: Journal Article
• Authors: Wang, Hua; Khan, Jamroz; Adil Khan, Muhammad; Khalid, Sadia; Khan, Rewayat
• Other Names: Akdemir Ahmet Ocak Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2021(2021)
• Publication Date: 2021-05-15
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2021/5516987
• Languages: English
• ISSNs: 2314-4629

Abstract

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.