On some Hermite–Hadamard type inequalities for T $\mathcal{T}$ -convex interval-valued functions

Abstract

Abstract In this paper, we introduce the concepts of map T $\mathcal {T}$ and interval-valued T $\mathcal {T}$ -convex, and give some basic properties. Further, we extend fractional Hermite–Hadamard inequalities in the case of T $\mathcal {T}$ -convex and Ostrowski type inequalities for interval-valued functions. Several examples are presented to illustrate the results.

Keywords

• Interval-valued functions
• T $\mathcal {T}$ -convex
• Hermite–Hadamard type inequalities
• Ostrowski type inequalities