IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v13y2025i10p1575-d1653067.html
   My bibliography  Save this article

On Katugampola Fractional Multiplicative Hermite-Hadamard-Type Inequalities

Author

Listed:
  • Wedad Saleh

    (Department of Mathematics, College of Science, Taibah University, Al-Madinah Al-Munawarah 42210, Saudi Arabia)

  • Badreddine Meftah

    (Laboratory of Analysis and Control of Differential Equations “ACED”, Facuty MISM, Department of Mathematics, University of 8 May 1945 Guelma, P.O. Box 401, Guelma 24000, Algeria)

  • Muhammad Uzair Awan

    (Department of Mathematics, Government College University, Faisalabad 38000, Pakistan)

  • Abdelghani Lakhdari

    (Department of Mathematics, Faculty of Science and Arts, Kocaeli University, Umuttepe Campus, Kocaeli 41001, Türkiye
    Department CPST, National Higher School of Technology and Engineering, Annaba 23005, Algeria)

Abstract

This paper presents a novel framework for Katugampola fractional multiplicative integrals, advancing recent breakthroughs in fractional calculus through a synergistic integration of multiplicative analysis. Motivated by the growing interest in fractional calculus and its applications, we address the gap in generalized inequalities for multiplicative s -convex functions by deriving a Hermite–Hadamard-type inequality tailored to Katugampola fractional multiplicative integrals. A cornerstone of our work involves the derivation of two groundbreaking identities, which serve as the foundation for midpoint- and trapezoid-type inequalities designed explicitly for mappings whose multiplicative derivatives are multiplicative s -convex. These results extend classical integral inequalities to the multiplicative fractional calculus setting, offering enhanced precision in approximating nonlinear phenomena.

Suggested Citation

  • Wedad Saleh & Badreddine Meftah & Muhammad Uzair Awan & Abdelghani Lakhdari, 2025. "On Katugampola Fractional Multiplicative Hermite-Hadamard-Type Inequalities," Mathematics, MDPI, vol. 13(10), pages 1-34, May.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:10:p:1575-:d:1653067
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/13/10/1575/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/13/10/1575/
    Download Restriction: no
    ---><---

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:13:y:2025:i:10:p:1575-:d:1653067. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.