IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i11p2432-d1154930.html
   My bibliography  Save this article

Hermite–Hadamard-Type Inequalities for Coordinated Convex Functions Using Fuzzy Integrals

Author

Listed:
  • Muhammad Amer Latif

    (Department of Basic Sciences, Deanship of Preparatory Year, King Faisal University, Hofuf 31982, Al-Hasa, Saudi Arabia)

Abstract

In this paper, some estimates of third and fourth inequalities in Hermite–Hadamard-type inequalities for coordinated convex functions are proved using the non-additivity of the integrals and Fubini’s theorem for fuzzy integrals. That is, the results are obtained in the fuzzy context and using the Lebesgue measure. Several examples are provided on how to evaluate these estimates in order to illustrate the obtained results.

Suggested Citation

  • Muhammad Amer Latif, 2023. "Hermite–Hadamard-Type Inequalities for Coordinated Convex Functions Using Fuzzy Integrals," Mathematics, MDPI, vol. 11(11), pages 1-25, May.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:11:p:2432-:d:1154930
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/11/2432/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/11/11/2432/
    Download Restriction: no
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Serap Özcan & Luminiţa-Ioana Cotîrlă, 2024. "Generalized n -Polynomial p -Convexity and Related Inequalities," Mathematics, MDPI, vol. 12(7), pages 1-15, March.

    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:11:y:2023:i:11:p:2432-:d:1154930. 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.