Two reverse inequalities associated with Tsallis relative operator entropy via generalized Kantorovich constant and their applications

DOI10.1016/j.laa.2005.07.013zbMath1094.47027OpenAlexW2115738419MaRDI QIDQ2576239

Takayuki Furuta

Publication date: 27 December 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2005.07.013

zbMATH Keywords

Tsallis relative entropyrelative operator entropyTsallis relative operator entropygeneralized Kantorovich constantSpecht ratioUmegaki relative entropy

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Linear operator inequalities (47A63) Measures of information, entropy (94A17)

Related Items (10)

Some bounds for the generalized Tsallis relative operator entropy ⋮ A complementary inequality for the information monotonicity of the operator perspective and applications ⋮ A complementary inequality to the information monotonicity for Tsallis relative operator entropy ⋮ GENERALIZED KANTOROVICH CONSTANT, A NEW FORMULATION AND PROPERTIES ⋮ Bregman divergence as relative operator entropy ⋮ Inequalities for relative operator entropies and operator means ⋮ Unnamed Item ⋮ Sharp bounds for the Tsallis relative operator entropy ⋮ Some estimations for the generalized relative operator entropy ⋮ Inequalities for the generalized Tsallis relative operator entropy

Cites Work

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• Reverse inequalities involving two relative operator entropies and two relative entropies
• A note on operator inequalities of Tsallis relative operator entropy
• Fundamental properties of Tsallis relative entropy
• A note on the entropy for operator algebras
• Specht ratio S(1) can be expressed by Kantorovich constant K(p) : S(1)= exp[K'(1) and its application]
• Conditional expectation in an operator algebra. IV. Entropy and information

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