IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v33y2025i07ns0218348x25500458.html
   My bibliography  Save this article

On Conformable Fractional Newton-Type Inequalities

Author

Listed:
  • HONGYAN XU

    (Department of Mathematics and Physics, Suqian University, Suqian, Jiangsu, 223800, P. R. China)

  • MUHAMMAD UZAIR AWAN

    (��Department of Mathematics, Government College University, Gurunanakpura, Faisalabad 38000, Pakistan**Department CPST, National Higher School of Technology and Engineering, Annaba 23005, Algeria)

  • BADREDDINE MEFTAH

    (��Laboratory of Analysis and Control of Differential Equations “ACED†, Department of Mathematics, Faculty MISM, University 8 Mai 1945 - Guelma, P. O. Box 401, Guelma 24000, Algeria)

  • FAHD JARAD

    (�Department of Mathematics, Faculty of Arts and Sciences, Çankaya University, Etimesgut 06790, Ankara, Turkey¶Center for Applied Mathematics and Bioinformatics, Gulf University for Science and Technology, Masjid Al Aqsa Street, Mubarak Al-Abdullah, Kuwait)

  • 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

By using a parametrized analysis, this paper presents a study that focuses on examining both the Simpson’s 3/8 formula and the corrected Simpson’s 3/8 formula. By utilizing a unique identity that incorporates conformable fractional integral operators, we have constructed novel conformable Newton-type inequalities for functions that possess second-order s-convex derivatives. Special cases are extensively discussed, and the accuracy of the results is validated through a numerical example with graphical representations.

Suggested Citation

  • Hongyan Xu & Muhammad Uzair Awan & Badreddine Meftah & Fahd Jarad & Abdelghani Lakhdari, 2025. "On Conformable Fractional Newton-Type Inequalities," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(07), pages 1-16.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:07:n:s0218348x25500458
    DOI: 10.1142/S0218348X25500458
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X25500458
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X25500458?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
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:wsi:fracta:v:33:y:2025:i:07:n:s0218348x25500458. 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: Tai Tone Lim (email available below). General contact details of provider: https://www.worldscientific.com/worldscinet/fractals .

    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.