Quantum Hermite-Hadamard type inequalities for interval-valued functions. (English) Zbl 07795099
Summary: 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.
MSC:
26D15 | Inequalities for sums, series and integrals |
26A51 | Convexity of real functions in one variable, generalizations |
26D07 | Inequalities involving other types of functions |
81P68 | Quantum computation |