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Yanagi Kenjiro

Affiliate Master Yamaguchi University

Generalized Shannon inequalities based on Tsallis relative operator entropy

Linear Algebra and its Applications Volume 394 Page 109-118
published_at 2005-01-01
2007010012.pdf
[fulltext] 145 KB
Title
Generalized Shannon inequalities based on Tsallis relative operator entropy
Creators Yanagi Kenjiro
Creators Kuriyama Ken
Creators Furuichi Shigeru
Creator Keywords
Operator inequality Tsallis relative operator entropy Shannon inequality
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 Appl. 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.
Languages eng
Resource Type journal article
Publishers Elsevier
Date Issued 2005-01-01
File Version Author’s Original
Access Rights open access
Relations
[ISSN]0024-3794
[NCID]AA00717292
https://doi.org/10.1016/j.laa.2004.06.025
[isVersionOf] [URI]http://www.sciencedirect.com/science/journal/00243795
Schools 大学院理工学研究科(工学)