Some fractional Hermite–Hadamard-type inequalities for interval-valued coordinated functions

Abstract

Abstract The primary objective of this paper is establishing new Hermite–Hadamard-type inequalities for interval-valued coordinated functions via Riemann–Liouville-type fractional integrals. Moreover, we obtain some fractional Hermite–Hadamard-type inequalities for the product of two coordinated h-convex interval-valued functions. Our results generalize several well-known inequalities.

Keywords

• Hermite–Hadamard-type inequalities
• Interval-valued coordinated functions
• Riemann–Liouville-type fractional integrals