On log-sum inequalities

DOI10.1080/03081087.2023.2165611arXiv2005.03272MaRDI QIDQ6153486

Supriyo Dutta, Shigeru Furuichi

Publication date: 19 March 2024

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.03272

zbMATH Keywords

convex functiondeformed logarithmLöwner partial orderHansen-Pedersen theorylog-sum inequality

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Inequalities in real analysis (26Dxx)

Cites Work

• Jensen's inequality for operators and Loewner's theorem
• Means of positive linear operators
• Matrix inequalities in statistical mechanics.
• Parametric extensions of Shannon inequality and its reverse one in Hilbert space operators.
• More accurate operator means inequalities
• OPERATOR QUASILINEARITY OF SOME FUNCTIONALS ASSOCIATED WITH DAVIS–CHOI–JENSEN’S INEQUALITY FOR POSITIVE MAPS
• Fundamental properties of Tsallis relative entropy
• JENSEN'S OPERATOR INEQUALITY
• New sharp inequalities for operator means
• Quantum Information Theory
• Information Theory and Statistics: A Tutorial
• An operator inequality
• Matrix inequalities
• Convex functions and their applications. A contemporary approach
• Quantum calculus
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