Operator inequalities associated with relative operator entropies

Mohammad Bagher Ghaemi, Nahid Gharakhanlu, Shigeru Furuichi

Abstract


In this paper, we introduce the notions of operator (α,β,γ)-mean, relative operator (α,β,γ)-entropy and Tsallis relative operator (α,β,γ)-entropy. We give upper and lower bounds of relative operator (α,β,γ)-entropy, relative operator (0,β,γ)-entropy and Tsallis relative operator (α,β,γ)-entropy. Our results are refinements and generalizations of some existing inequalities due to Furuichi, Zou and Nikoufar.

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Published: 2015-06-19

How to Cite this Article:

Mohammad Bagher Ghaemi, Nahid Gharakhanlu, Shigeru Furuichi, Operator inequalities associated with relative operator entropies, Advances in Inequalities and Applications, Vol 2015 (2015), Article ID 7

Copyright © 2015 Mohammad Bagher Ghaemi, Nahid Gharakhanlu, Shigeru Furuichi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Advances in Inequalities and Applications

ISSN 2050-7461

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