IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i18p3303-d912652.html
   My bibliography  Save this article

On Several Bounds for Types of Angular Distances

Author

Listed:
  • Augusta Raţiu

    (Department of Mathematics and Informatics, Lucian Blaga University of Sibiu, 550012 Sibiu, Romania
    These authors contributed equally to this work.)

  • Nicuşor Minculete

    (Department of Mathematics and Computer Science, Transilvania University of Braşov, 500091 Braşov, Romania
    These authors contributed equally to this work.)

Abstract

In this study, we introduce the expression d λ ( x , y ) : = λ ∥ x ∥ + ( 1 − λ ) ∥ y ∥ − ∥ λ x + ( 1 − λ ) y ∥ on the real normed space X ( X , ∥ · ∥ ) , where x , y ∈ X and λ ∈ R . We characterize this expression and find various estimates of it. We also obtain a generalization and some refinements of Maligranda’s inequality. Finally, we give some relations between d λ ( x , y ) and several types of angular distances between two nonzero vectors in a real normed space.

Suggested Citation

  • Augusta Raţiu & Nicuşor Minculete, 2022. "On Several Bounds for Types of Angular Distances," Mathematics, MDPI, vol. 10(18), pages 1-10, September.
  • Handle: RePEc:gam:jmathe:v:10:y:2022:i:18:p:3303-:d:912652
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/18/3303/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/10/18/3303/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Nicuşor Minculete & Hamid Reza Moradi, 2020. "Some Improvements of the Cauchy-Schwarz Inequality Using the Tapia Semi-Inner-Product," Mathematics, MDPI, vol. 8(12), pages 1-13, November.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      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:18:p:3303-:d:912652. 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.

      If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.