The Properties of Harmonically <i>cr</i>-<i>h</i>-Convex Function and Its Applications

Abstract

In this paper, the definition of the harmonically cr-h-convex function is given, and its important properties are discussed. Jensen type inequality, Hermite–Hadamard type inequalities and Fejér type inequalities for harmonically cr-h-convex functions are also established. In addition, some numerical examples are given to verify the accuracy of the results.

Keywords

• harmonically <i>cr</i>-<i>h</i>-convex
• Jensen type inequality
• Hermite–Hadamard-type inequalities
• Fejér-type inequalities
• interval-valued functions