Inequalities for relative operator entropy in terms of Tsallis’ entropy

DOI10.1142/S1793557119500633zbMath1447.47021OpenAlexW2800418900MaRDI QIDQ5223093

Sever Silvestru Dragomir

Publication date: 5 July 2019

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557119500633

zbMATH Keywords

operator entropyrelative operator entropyinequalities for logarithm

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63)

Related Items (3)

ON SOME TSALLIS RELATIVE OPERATOR ENTROPY PROPERTIES RELATED TO HELLINGER METRICS ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Zur Theorie der elementaren Mittel
• Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory
• On operator inequalities of some relative operator entropies
• Operator extension of strong subadditivity of entropy
• Precise estimates of bounds on relative operator entropies
• Fundamental properties of Tsallis relative entropy
• Alternative reverse inequalities for Young's inequality
• A note on the entropy for operator algebras
• Operator entropy inequalities
• Inequalities for relative operator entropies
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