IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v13y2025i10p1689-d1661135.html
   My bibliography  Save this article

Revisiting Some Relationships Between the Weighted Spectral Mean and the Wasserstein Mean

Author

Listed:
  • Minh Thanh Duong

    (Department of Primary Education, Ho Chi Minh City University of Education, Ho Chi Minh City 700000, Vietnam)

  • Anh Vu Le

    (Department of Economic Mathematics, University of Economics and Law, Ho Chi Minh City, Vietnam and Vietnam National University, Ho Chi Minh City 700000, Vietnam)

  • Cong Trinh Le

    (Department of Mathematics and Statistics, Quy Nhon University, Quy Nhon 55100, Vietnam)

  • Trung Hoa Dinh

    (Department of Mathematics and Statistics, Troy University, Troy, AL 36082, USA)

Abstract

In this paper, we introduce the 2-geometric mean and explore its connections with the spectral geometric mean and the Wasserstein mean for positive definite matrices. Additionally, we revisit and establish several inequalities involving these means in the context of the near order relation.

Suggested Citation

  • Minh Thanh Duong & Anh Vu Le & Cong Trinh Le & Trung Hoa Dinh, 2025. "Revisiting Some Relationships Between the Weighted Spectral Mean and the Wasserstein Mean," Mathematics, MDPI, vol. 13(10), pages 1-10, May.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:10:p:1689-:d:1661135
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/13/10/1689/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/13/10/1689/
    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:13:y:2025:i:10:p:1689-:d:1661135. 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.