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NEW FRACTIONAL INTEGRAL INEQUALITIES FOR EXPONENTIALLY (h,m)-PREINVEX INTERVAL-VALUED FUNCTIONS

Author

Listed:
  • YUN TAN

    (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)

  • JUAN EDUARDO Nà POLES VALDÉS

    (��Facultad de Ciencias Exactas y Naturales y Agrimensura, Universidad Nacional del Nordeste, Av. Libertad 5450, Corrientes 3400, Argentina)

  • XIAOLING WANG

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

Abstract

We introduce the concept of exponentially (h,m)-preinvex interval-valued functions (EP-(h,m)-IVFs) by using the pseudo-order relation, and derive some interesting properties. Based on such a definition, we present some new Hermite–Hadamard and Hermite–Hadamard–Fejér-type inequalities for ϕk-Riemann–Liouville fractional integrals. These inequalities not only generalize some existing research findings in the literature, but also provide a new direction for the further study of interval integral estimation. Additionally, graphical representations and numerical estimates of some examples are given to illustrate the validity of the main results.

Suggested Citation

  • Yun Tan & Dafang Zhao & Juan Eduardo Nã Poles Valdã‰S & Xiaoling Wang, 2025. "NEW FRACTIONAL INTEGRAL INEQUALITIES FOR EXPONENTIALLY (h,m)-PREINVEX INTERVAL-VALUED FUNCTIONS," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(03), pages 1-19.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:03:n:s0218348x2450138x
    DOI: 10.1142/S0218348X2450138X
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