Some Integral Inequalities for Log-<inline-formula> <tex-math notation="LaTeX">$h$ </tex-math></inline-formula>-Convex Interval-Valued Functions

Abstract

We introduce the log- $h$ -convex concept for the interval-valued functions (IVFs) and establish some of the new Jensen’s, Hadamard’s, and Hadamard-Fejér’s inequalities for this kind of functions, which generalize some known results. Meanwhile, some interesting examples are given.

Keywords

• Interval-valued functions
• h-convex%22%2C%22default_operator%22%3A%22AND%22%7D%7D%7D"> log-<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">h</italic>-convex
• Jensen’s inequality
• Hadamard’s inequality
• Hadamard-Fejér’s inequality