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New Fractional Integral Inequalities For Lr-„ -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)

Abstract

Based on the pseudo-order relation, we introduce the concept of left and right ℠-preinvex interval-valued functions (LR-℠-PIVFs). Further, we establish the Hermite–Hadamard and Hermite–Hadamard–Fejér-type estimates for LR-℠-PIVFs using generalized fractional integrals. Finally, an example of interval-valued fractional integrals is provided to illustrate the validity of the results derived herein. Our results not only extend some existing inequalities for Hadamard, Riemann–Liouville, and Katugampola fractional integrals, but also provide new insights for future research on generalized convexity and IVFs, among others.

Suggested Citation

  • Yun Tan & Dafang Zhao, 2024. "New Fractional Integral Inequalities For Lr-„ -Preinvex Interval-Valued Functions," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(05), pages 1-14.
    • Handle: RePEc:wsi:fracta:v:32:y:2024:i:05:n:s0218348x2450083x
    DOI: 10.1142/S0218348X2450083X
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