2010/09/14 by Dėnes Petz, Petz, Denes
Mathematics · Physics and Astronomy · #54C70 #81P45 #Approximation Theory and Sequence Spaces #FOS: Physical sciences #Mathematical Inequalities and Applications #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #Statistical Mechanics and Entropy
paper · pdf · doi:10.48550/arxiv.1009.2679
openalex publication_date 2010/09/14 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
The subject is the overview of the use of quasi-entropy in finite dimensional spaces. Matrix monotone functions and relative modular operators are used. The origin is the relative entropy and the f-divergence, monotone metrics, covariance and the chi-square-divergence are the most important particular cases. The extension of the monotone metric to two variables is a new concept.