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On New Fractional Version of Generalized Hermite-Hadamard Inequalities

Author

Listed:
  • Abd-Allah Hyder

    (Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia
    Department of Engineering Mathematics and Physics, Faculty of Engineering, Al-Azhar University, Cairo 71524, Egypt)

  • Areej A. Almoneef

    (Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia)

  • Hüseyin Budak

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

  • Mohamed A. Barakat

    (Department of Computer Science, College of Al Wajh, University of Tabuk, Tabuk 71491, Saudi Arabia
    Department of Mathematics, Faculty of Sciences, Al-Azhar University, Assiut 71524, Egypt)

Abstract

In this study, we establish a novel version of Hermite-Hadamard inequalities through neoteric generalized Riemann-Liouville fractional integrals (RLFIs). For functions with the convex absolute values of derivatives, we create a variety of midpoint and trapezoid form inequalities, including the generalized RLFIs. Moreover, multiple fractional inequalities can be produced as special cases of the findings of this study.

Suggested Citation

  • Abd-Allah Hyder & Areej A. Almoneef & Hüseyin Budak & Mohamed A. Barakat, 2022. "On New Fractional Version of Generalized Hermite-Hadamard Inequalities," Mathematics, MDPI, vol. 10(18), pages 1-15, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:18:p:3337-:d:915283
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    References listed on IDEAS

    as
    1. Set, Erhan & Butt, Saad Ihsan & Akdemir, Ahmet Ocak & Karaoǧlan, Ali & Abdeljawad, Thabet, 2021. "New integral inequalities for differentiable convex functions via Atangana-Baleanu fractional integral operators," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
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    Cited by:

    1. Çi̇ri̇ş, Sümeyye Ermeydan & Yildirim, Hüseyin, 2024. "Hermite–Hadamard inequalities for generalized σ−conformable integrals generated by co-ordinated functions," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).

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