Iq-Calculus and Iq-Hermite–Hadamard inequalities for interval-valued functions

Abstract

Abstract In this paper, we introduce the Iq-derivative and Iq-integral for interval-valued functions and give their basic properties. As a promotion of q-Hermite–Hadamard inequalities, we also give the Iq-Hermite-Hadamard inequalities for interval-valued functions. At the same time, we give some examples to illustrate the results.

Keywords

• Interval-valued functions
• Iq-Derivative
• Iq-Integral
• Iq-Hermite–Hadamard inequalities