Inequalities for relative operator entropies

DOI10.13001/1081-3810.2845zbMath1332.47008OpenAlexW151705811MaRDI QIDQ5501708

Marek Niezgoda, Paweł A. Kluza

Publication date: 14 August 2015

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.13001/1081-3810.2845

zbMATH Keywords

operator monotone functionpositive linear map\(f\)-connectionrelative operator entropyTsallis relative operator entropyoperator Mean

Mathematics Subject Classification ID

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

Related Items (6)

On Jensen-Rényi and Jeffreys-Rényi type \(f\)-divergences induced by convex functions ⋮ GENERALIZED KANTOROVICH CONSTANT, A NEW FORMULATION AND PROPERTIES ⋮ OPERATOR QUASILINEARITY OF SOME FUNCTIONALS ASSOCIATED WITH DAVIS–CHOI–JENSEN’S INEQUALITY FOR POSITIVE MAPS ⋮ On Csiszár and Tsallis type f-divergences induced by superquadratic and convex functions ⋮ Inequalities for relative operator entropy in terms of Tsallis’ entropy ⋮ Equality cases of inequalities involving generalized Csiszár and Tsallis type f-divergences

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