New refinements of some inequalities involving relative operator entropy

DOI10.1007/s11785-019-00938-7OpenAlexW2953958073MaRDI QIDQ2008157

Yanyan Li

Publication date: 22 November 2019

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-019-00938-7

zbMATH Keywords

operator inequalitiesoperator meansrelative operator entropy

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Measures of information, entropy (94A17) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Means of positive linear operators
• Complementary inequalities to inequalities of Jensen and Ando based on the Mond-Pečarić method
• Generalized Shannon inequalities based on Tsallis relative operator entropy
• Operator inequalities involving the arithmetic, geometric, Heinz and Heron means
• Operator inequalities associated with Tsallis relative operator entropy
• Fundamental properties of Tsallis relative entropy
• Inequalities for Tsallis relative entropy and generalized skew information
• A note on the entropy for operator algebras
• Numerous refinements of Pólya and Heinz operator inequalities
• Conditional expectation in an operator algebra. IV. Entropy and information

This page was built for publication: New refinements of some inequalities involving relative operator entropy