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arxiv: 1705.02188 · v1 · pith:53GPY74Enew · submitted 2017-05-05 · 🧮 math.FA

Estimates for Tsallis relative operator entropy

classification 🧮 math.FA
keywords operatorentropyinequalitiesrelativetsallisgivenadditionbounds
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We give the tight bounds of Tsallis relative operator entropy by using Hermite-Hadamard's inequality. Some reverse inequalities related to Young inequalities are also given. In addition, operator inequalities for normalized positive linear map with Tsallis relative operator entropy are given.

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