IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i15p1724-d599099.html
   My bibliography  Save this article

Generalizations of Hardy Type Inequalities by Abel–Gontscharoff’s Interpolating Polynomial

Author

Listed:
  • Kristina Krulić Himmelreich

    (Faculty of Textile Technology, University of Zagreb, Prilaz Baruna Filipovica 28a, 10000 Zagreb, Croatia)

  • Josip Pečarić

    (Croatian Academy of Sciences and Arts, Trg Nikole Šubića Zrinskog, 10000 Zagreb, Croatia)

  • Dora Pokaz

    (Faculty of Civil Engineering, University of Zagreb, Fra Andrije Kačića-Miošića 26, 10000 Zagreb, Croatia)

  • Marjan Praljak

    (Faculty of Food Technology and Biotechnology, University of Zagreb, 6 Pierottijeva Street in Zagreb, 10000 Zagreb, Croatia)

Abstract

In this paper, we extend Hardy’s type inequalities to convex functions of higher order. Upper bounds for the generalized Hardy’s inequality are given with some applications.

Suggested Citation

  • Kristina Krulić Himmelreich & Josip Pečarić & Dora Pokaz & Marjan Praljak, 2021. "Generalizations of Hardy Type Inequalities by Abel–Gontscharoff’s Interpolating Polynomial," Mathematics, MDPI, vol. 9(15), pages 1-14, July.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:15:p:1724-:d:599099
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/15/1724/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/15/1724/
    Download Restriction: no
    ---><---

    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:gam:jmathe:v:9:y:2021:i:15:p:1724-:d:599099. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.