IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i2p202-d721171.html
   My bibliography  Save this article

Refinements of the Converse Hölder and Minkowski Inequalities

Author

Listed:
  • Josip Pečarić

    (Peoples Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Str., 117198 Moscow, Russia)

  • Jurica Perić

    (Departments of Mathematics, Faculty of Science, University of Split, 21000 Split, Croatia)

  • Sanja Varošanec

    (Department of Mathematics, University of Zagreb, 10000 Zagreb, Croatia)

Abstract

We give a refinement of the converse Hölder inequality for functionals using an interpolation result for Jensen’s inequality. Additionally, we obtain similar improvements of the converse of the Beckenbach inequality. We consider the converse Minkowski inequality for functionals and of its continuous form and give refinements of it. Application on integral mixed means is given.

Suggested Citation

  • Josip Pečarić & Jurica Perić & Sanja Varošanec, 2022. "Refinements of the Converse Hölder and Minkowski Inequalities," Mathematics, MDPI, vol. 10(2), pages 1-11, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:2:p:202-:d:721171
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/2/202/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/2/202/
    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:10:y:2022:i:2:p:202-:d:721171. 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.