Some remarks on Tsallis relative operator entropy

DOI10.1007/s13398-020-00803-9OpenAlexW2999305393MaRDI QIDQ2293231

Hamid Reza Moradi, Shigeru Furuichi

Publication date: 7 February 2020

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.01342

zbMATH Keywords

operator inequalityrelative operator entropyTsallis relative operator entropyrefined Young inequality

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Functional calculus for linear operators (47A60) General theory of (C^*)-algebras (46L05)

Cites Work

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• Non-commutative perspectives
• Operator inequalities associated with Hölder-McCarthy and Kantorovich inequalities
• On further refinements for Young inequalities
• Some refinements of classical inequalities
• Generalized Shannon inequalities based on Tsallis relative operator entropy
• Norm inequalities related to operator monotone functions
• A note on operator inequalities of Tsallis relative operator entropy
• Estimates for Tsallis relative operator entropy
• Perspectives of matrix convex functions
• New sharp inequalities for operator means
• A complementary inequality to the information monotonicity for Tsallis relative operator entropy

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