IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v31y2023i05ns0218348x23500810.html
   My bibliography  Save this article

MILNE-TYPE FRACTAL INTEGRAL INEQUALITIES FOR GENERALIZED m-CONVEX MAPPING

Author

Listed:
  • SA’UD AL-SA’DI

    (Department of Mathematics, Faculty of Science, The Hashemite University, P. O. Box 330127, Zarqa 13133, Jordan)

  • MARIA BIBI

    (Department of Basic Sciences, University of Engineering and Technology Taxila, Taxila 47050, Pakistan)

  • YOUNGSOO SEOL

    (Department of Mathematics, Dong-A University, Busan 49315, Korea)

  • MUHAMMAD MUDDASSAR

    (Department of Basic Sciences, University of Engineering and Technology Taxila, Taxila 47050, Pakistan)

Abstract

In this paper, we investigate the generalized Milne-type integral inequalities via the framework of generalized m-convex mappings on fractal sets. To accomplish this, we propose a new generalized integral identity that involves differentiable generalized m-convex mappings. Based on the latest identity we drive a number of the latest fractal Milne-type integral inequalities. Also, we provide fractal Milne-type inequalities for bounded mappings. Some illustrative examples and applications to additional inequalities for the generalized special means and various error estimates for the generalized Milne-type quadrature formula are obtained to further support our results. The findings presented in this research offer important generalizations and extensions of previous work in the field.

Suggested Citation

  • Sa’Ud Al-Sa’Di & Maria Bibi & Youngsoo Seol & Muhammad Muddassar, 2023. "MILNE-TYPE FRACTAL INTEGRAL INEQUALITIES FOR GENERALIZED m-CONVEX MAPPING," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(05), pages 1-18.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:05:n:s0218348x23500810
    DOI: 10.1142/S0218348X23500810
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X23500810
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X23500810?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 search for a different version of it.

    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:31:y:2023:i:05:n:s0218348x23500810. 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.