IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/6691151.html
   My bibliography  Save this article

Hadamard Inequalities for Strongly α,m-Convex Functions via Caputo Fractional Derivatives

Author

Listed:
  • Yanliang Dong
  • Muhammad Zeb
  • Ghulam Farid
  • Sidra Bibi
  • Antonio Masiello

Abstract

In this paper, we present two versions of the Hadamard inequality for α,m convex functions via Caputo fractional derivatives. Several related results are analyzed for convex and m-convex functions along with their refinements and generalizations. The error bounds of the Hadamard inequalities are established by applying some known identities.

Suggested Citation

  • Yanliang Dong & Muhammad Zeb & Ghulam Farid & Sidra Bibi & Antonio Masiello, 2021. "Hadamard Inequalities for Strongly α,m-Convex Functions via Caputo Fractional Derivatives," Journal of Mathematics, Hindawi, vol. 2021, pages 1-16, January.
  • Handle: RePEc:hin:jjmath:6691151
    DOI: 10.1155/2021/6691151
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2021/6691151.pdf
    Download Restriction: no

    File URL: http://downloads.hindawi.com/journals/jmath/2021/6691151.xml
    Download Restriction: no

    File URL: https://libkey.io/10.1155/2021/6691151?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
    ---><---

    Citations

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


    Cited by:

    1. Mohammed K. A. Kaabar & Mehdi Shabibi & Jehad Alzabut & Sina Etemad & Weerawat Sudsutad & Francisco Martínez & Shahram Rezapour, 2021. "Investigation of the Fractional Strongly Singular Thermostat Model via Fixed Point Techniques," Mathematics, MDPI, vol. 9(18), pages 1-21, September.

    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:6691151. 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.