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Fractional Quantum Hermite–Hadamard-Type Inequalities For Interval-Valued Functions

Author

Listed:
  • HAIYANG CHENG

    (School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, P. R. China)

  • DAFANG ZHAO

    (School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, P. R. China†National Cryosphere Desert Data Center, Lanzhou 730000, P. R. China)

  • GUOHUI ZHAO

    (��National Cryosphere Desert Data Center, Lanzhou 730000, P. R. China‡Northwest Institute of Eco-Environment and Resources, Chinese Academy of Sciences, Lanzhou 73000, P. R. China)

Abstract

Based on the q-shifting operator, we introduce the concept of Riemann–Liouville fractional quantum integration for interval-valued functions (IVFs), and establish new Riemann–Liouville fractional q-Hermite–Hadamard (q-HH) and q-HH-Fejér inequalities for left and right h-convex IVFs (LR-℠-convex-IVFs). The findings obtained generalize known results in the literature and serve as a foundation for future studies in inequalities for interval-valued functions and fractional quantum calculus. The results are illustrated with examples.

Suggested Citation

  • Haiyang Cheng & Dafang Zhao & Guohui Zhao, 2023. "Fractional Quantum Hermite–Hadamard-Type Inequalities For Interval-Valued Functions," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(09), pages 1-13.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:09:n:s0218348x23501049
    DOI: 10.1142/S0218348X23501049
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