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HERMITE–HADAMARD TYPE INEQUALITIES FOR ℠-CONVEX FUNCTION VIA FUZZY INTERVAL-VALUED FRACTIONAL q-INTEGRAL

Author

Listed:
  • HAIYANG CHENG

    (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)

  • MEHMET ZEKI SARIKAYA

    (��Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce 81620, Turkey)

Abstract

Fractional q-calculus is considered to be the fractional analogs of q-calculus. In this paper, the fuzzy interval-valued Riemann–Liouville fractional (RLF) q-integral operator is introduced. Also new fuzzy variants of Hermite–Hadamard (HH) type and HH–Fejér inequalities, involving ℠-convex fuzzy interval-valued functions (FIVFs), are presented by making use of the RLF q-integral. The results not only generalize existing findings in the literature but also lay a solid foundation for research on inequalities concerning FIVFs. Moreover, to verify our theoretical findings, numerical examples and imperative graphical illustrations are provided.

Suggested Citation

  • Haiyang Cheng & Dafang Zhao & Mehmet Zeki Sarikaya, 2024. "HERMITE–HADAMARD TYPE INEQUALITIES FOR â„ -CONVEX FUNCTION VIA FUZZY INTERVAL-VALUED FRACTIONAL q-INTEGRAL," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(02), pages 1-15.
    • Handle: RePEc:wsi:fracta:v:32:y:2024:i:02:n:s0218348x24500427
    DOI: 10.1142/S0218348X24500427
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