Contents V.14 N.2 2023

  • QUANTUM HERMITE-HADAMARD TYPE INEQUALITIES FOR INTERVAL-VALUED FUNCTIONS
    HAIYANG CHENG, DAFANG ZHAO, GUOHUI ZHAO, DELFIM F.M. TORRES (pp. 246-265)
    10.30546/2219-1259.14.2.2023.246

    • 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.

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