IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v31y2023i04ns0218348x23400601.html
   My bibliography  Save this article

Some Bullen-Type Inequalities For Generalized Fractional Integrals

Author

Listed:
  • DAFANG ZHAO

    (School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, P. R. China2Northwest Institute of Eco-Environment and Resources, Chinese Academy of Sciences, Lanzhou 730000, P. R. China)

  • MUHAMMAD AAMIR ALI

    (Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, P. R. China)

  • HÃœSEYIN BUDAK

    (Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce, Turkey)

  • ZAI-YIN HE

    (Department of Mathematics, Huzhou University, Huzhou 313000, P. R. China)

Abstract

In this paper, we establish some new Bullen-type inequalities for differentiable convex functions using the generalized fractional integrals. The main advantage of the inequalities and operators used to obtain them is that these inequalities can be turned into some existing inequalities for Riemann integrals and new inequalities for Riemann–Liouville fractional integral inequalities and k-fractional integrals. Finally, we add some applications of special means of real numbers using the newly established inequalities to make these results more interesting.

Suggested Citation

  • Dafang Zhao & Muhammad Aamir Ali & Hãœseyin Budak & Zai-Yin He, 2023. "Some Bullen-Type Inequalities For Generalized Fractional Integrals," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(04), pages 1-11.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:04:n:s0218348x23400601
    DOI: 10.1142/S0218348X23400601
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X23400601
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X23400601?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:04:n:s0218348x23400601. 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.