Estimates for Tsallis relative operator entropy

Published 5 May 2017 in math.FA | (1705.02188v1)

Abstract: 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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