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

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.

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Bibliographic Details
Main Authors: Minh Thanh Duong, Anh Vu Le, Cong Trinh Le, Trung Hoa Dinh
Format: Article
Language:English
Published: MDPI AG 2025-05-01
Series:Mathematics
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Online Access:https://www.mdpi.com/2227-7390/13/10/1689
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Summary: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.
ISSN:2227-7390