QUANTUM HERMITE-HADAMARD TYPE INEQUALITIES FOR INTERVAL-VALUED FUNCTIONSHAIYANG CHENG, DAFANG ZHAO, GUOHUI ZHAO, DELFIM F.M. TORRES (pp. 246-265)
Abstract.We introduce the concept of quantum integration for interval-valued functions, and establish new q-Hermite-Hadamard and q-Hermite-Hadamard-Fejer 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.
Keywords:quantum integration, q-Hermite-Hadamard inequalities, order relations, convexity, interval-valued functions.