Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function

• Published in: Open mathematics (Warsaw, Poland) Vol. 18; no. 1; pp. 794 - 806
• Main Authors: Han, Jiangfeng, Mohammed, Pshtiwan Othman, Zeng, Huidan
• Format: Journal Article
• Language: English
• Published: Warsaw De Gruyter 22.07.2020; De Gruyter Poland
• Subjects: 26A33; 26D07; 26D10; 26D15; convex function; Fractional calculus; Inequalities; integral inequalities; Integrals; mt-convex function; Riemann-Liouville fractional integral

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...