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HERMITE–HADAMARD-TYPE INEQUALITIES FOR s-PREINVEX INTERVAL-VALUED FUNCTIONS VIA GENERALIZED FRACTIONAL INTEGRALS

Author

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  • XIAOLING WANG

    (Huangshi Key Laboratory of Metaverse and Virtual Simulation, School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, P. R. China)

  • DAFANG ZHAO

    (Huangshi Key Laboratory of Metaverse and Virtual Simulation, School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, P. R. China)

Abstract

This paper is dedicated to establishing some Hermite–Hadamard-type inequalities for s-preinvex interval-valued functions by using the generalized Riemann–Liouville fractional integrals. The results not only generalize some known findings in the literature, but also contribute to deeper research on inequalities concerning interval-valued fractional integrals. Additionally, some examples are given to illustrate the effectiveness of the results.

Suggested Citation

  • Xiaoling Wang & Dafang Zhao, 2025. "HERMITE–HADAMARD-TYPE INEQUALITIES FOR s-PREINVEX INTERVAL-VALUED FUNCTIONS VIA GENERALIZED FRACTIONAL INTEGRALS," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(07), pages 1-15.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:07:n:s0218348x25500689
    DOI: 10.1142/S0218348X25500689
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