IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/8873724.html

On Hermite–Hadamard Inequalities for Generalized Quantum Interval Calculus

Author

Listed:
  • Muhammad Umer Azam
  • Awais Younus
  • Muhammad Asif
  • Cemil Tunç

Abstract

In this paper, we develop the theory of β,gH-calculus for interval-valued functions by combining the β-functions with the generalized Hukuhara difference. Within this framework, we establish various properties related to β,gH-differentiation and β,gH-integration. Furthermore, based on two distinct and nonequivalent convexity structures, such as CW-convexity and ⊆-convexity, several β-Hermite–Hadamard type inequalities are established for interval-valued functions under suitable convexity conditions. A statistical motivation for the restricted β,gH-integral is also presented.

Suggested Citation

  • Muhammad Umer Azam & Awais Younus & Muhammad Asif & Cemil Tunç, 2026. "On Hermite–Hadamard Inequalities for Generalized Quantum Interval Calculus," Journal of Mathematics, Hindawi, vol. 2026, pages 1-17, June.
    • Handle: RePEc:hin:jjmath:8873724
    DOI: 10.1155/jom/8873724
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2026/8873724.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jmath/2026/8873724.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/jom/8873724?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    Statistics

    Access and download statistics

    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:hin:jjmath:8873724. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.