On the Hermite–Hadamard inequalities for interval-valued coordinated convex functions

Abstract

Abstract In this work, we introduce the notion of interval-valued coordinated convexity and demonstrate Hermite–Hadamard type inequalities for interval-valued convex functions on the co-ordinates in a rectangle from the plane. Moreover, we prove Hermite–Hadamard inequalities for the product of interval-valued convex functions on coordinates. Our results generalize several other well-known inequalities given in the existing literature on this subject.

Keywords

• Interval-valued functions
• Coordinated convex functions
• Hermite–Hadamard inequality