Generalized Shannon inequalities based on Tsallis relative operator entropy

Kenjiro Yanagi,Ken Kuriyama,Shigeru Furuichi

doi:10.1016/j.laa.2004.06.025

Generalized Shannon inequalities based on Tsallis relative operator entropy

Kenjiro Yanagi, Ken Kuriyama + Show 1 more

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https://doi.org/10.1016/j.laa.2004.06.025

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Journal: Linear Algebra and Its Applications	Publication Date: Aug 18, 2004
Citations: 61	License type: elsevier-specific: oa user license

Affiliation: Yamaguchi University, Sanyo-Onoda City University

#Tsallis Relative Operator Entropy #Tsallis Relative Entropy + Show 8 more

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Abstract

Tsallis relative operator entropy is defined and then its properties are given. Shannon inequality and its reverse one in Hilbert space operators derived by Furuta [Linear Algebra Apll. 381 (2004) 219] 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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