Hermite–Hadamard type inequalities for fractional integrals via Green’s function

Abstract

Abstract In the article, we establish the left Riemann–Liouville fractional Hermite–Hadamard type inequalities and the generalized Hermite–Hadamard type inequalities by using Green’s function and Jensen’s inequality, and present several new Hermite–Hadamard type inequalities for a class of convex as well as monotone functions.

Keywords

• Hermite–Hadamard inequality
• convex function
• Green’s function