Some Generalized Inequalities for Certain Powers of Positive Definite Matrices
In this paper, we introduce a new scalar inequality which generalize x^{y}+y^{x} > 1+xy for x, y> 1. Moreover, we generalize the extended inequality into matrix version concerning singular values.
Authors
- Kai Feng (ORCID: https://orcid.org/0000-0003-3990-0009)
- Jiaqi Ding
- Yu Wang (ORCID: https://orcid.org/0009-0000-2456-6664)
Institutions
- North China University of Water Resources and Electric Power (CN)
Publication Details
- Journal
- International journal of mathematics and computer science
- Published
- 2025-01-01
- DOI
- https://doi.org/10.69793/ijmcs/04.2025/yu
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China