Author(s): Cheng, Haiyang ; Zhao, Dafang ; Zhao, Guohui ; Torres, Delfim F. M.
Date: 2023
Persistent ID: http://hdl.handle.net/10773/39890
Origin: RIA - Repositório Institucional da Universidade de Aveiro
Subject(s): Quantum integration; q-Hermite-Hadamard inequalities; Order relations; Convexity; Interval-valued functions
We introduce the concept of quantum integration for interval-valued functions, and establish new q-Hermite-Hadamard and q-Hermite-Hadamard-Fejér inequalities for left and right h-convex interval-valued functions. The findings generalize known results in the literature and serve as a foundation for future studies in inequalities for interval-valued functions and interval differential equations. The results are illustrated with examples.
