Generalized Shannon inequalities based on Tsallis relative operator entropy

Details Generalized Shannon inequalities based on Tsallis relative operator entropy Generalized Shannon inequalities based on Tsallis relative operator entropy

2004-06-08

arxiv.org/abs/math/0406137v2

Linear Algebra and its Applications, Volume 394, 1 January 2005, Pages 109-118

Mathematics

Functional Analysis

Scientific paper

Tsallis relative operator entropy is defined and then its properties are given. Shannon inequality and its reverse one in Hilbert space operators derived by T.Furuta \cite{Fu:par} are extended in terms of the parameter of the Tsallis relative operator entropy. Moreover the generalized Tsallis relative operator entropy is introduced and then several operator inequalities are derived.

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