Generalized Shannon inequalities based on Tsallis relative operator entropy
Kenjiro Yanagi, Ken Kuriyama, Shigeru Furuichi
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 T.Furuta 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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