Matrix trace inequalities on Tsallis relative entropy of negative order

DOI10.1016/j.jmaa.2018.12.005zbMath1407.15024OpenAlexW2903690575WikidataQ128699629 ScholiaQ128699629MaRDI QIDQ1728030

Yuki Seo

Publication date: 21 February 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.12.005

zbMATH Keywords

positive definite matrixTsallis relative entropyrelative operator entropyquasi geometric mean

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Miscellaneous inequalities involving matrices (15A45) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (7)

The quantum ♮α-Rényi divergence of real order ⋮ Ando-Hiai Inequality: Extensions and Applications ⋮ Relative Operator Entropy ⋮ Further generalizations of Bebiano-Lemos-Providência inequality ⋮ Matrix trace inequalities related to the Tsallis relative entropies of real order ⋮ Ando–Hiai-type inequalities for operator means and operator perspectives ⋮ VARIANTS OF ANDO–HIAI TYPE INEQUALITIES FOR DEFORMED MEANS AND APPLICATIONS

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