IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i16p2965-d890260.html
   My bibliography  Save this article

Some Moduli of Angles in Banach Spaces

Author

Listed:
  • Dandan Du

    (School of Mathematics, Sun Yat-sen University, Guangzhou 510275, China)

  • Asif Ahmad

    (School of Mathematics, Sun Yat-sen University, Guangzhou 510275, China)

  • Anwarud Din

    (School of Mathematics, Sun Yat-sen University, Guangzhou 510275, China)

  • Yongjin Li

    (School of Mathematics, Sun Yat-sen University, Guangzhou 510275, China)

Abstract

In this paper, we mainly discuss the angle modulus of convexity δ X a ( ϵ ) and the angle modulus of smoothness ρ X a ( ϵ ) in a real normed linear space X , which are closely related to the classical modulus of convexity δ X ( ϵ ) and the modulus of smoothness ρ X ( ϵ ) . Some geometric properties of the two moduli were investigated. In particular, we obtained a characterization of uniform non-squareness in terms of ρ X a ( 1 ) . Meanwhile, we studied the relationships between δ X a ( ϵ ) , ρ X a ( ϵ ) and other geometric constants of real normed linear spaces through some equalities and inequalities. Moreover, these two coefficients were computed for some concrete spaces.

Suggested Citation

  • Dandan Du & Asif Ahmad & Anwarud Din & Yongjin Li, 2022. "Some Moduli of Angles in Banach Spaces," Mathematics, MDPI, vol. 10(16), pages 1-14, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:16:p:2965-:d:890260
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/16/2965/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/16/2965/
    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:16:p:2965-:d:890260. 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.