arXiv:1705.02188 Abstract | arXiv Analytics

arXiv:1705.02188 [math.FA]Abstract References Reviews Resources

Estimates for Tsallis relative operator entropy

Hamid Reza Moradi, Shigeru Furuichi, Nicuşor Minculete

Published 2017-05-05Version 1

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.

Comments: to appear in Math. Inequal. Appl

Categories: math.FA

Keywords: tsallis relative operator entropy, tight bounds, normalized positive linear map, hermite-hadamards inequality, operator inequalities

Related articles: Most relevant | Search more

arXiv:math/0502338 [math.FA] (Published 2005-02-16, updated 2005-04-05)

A note on operator inequalities of Tsallis relative operator entropy

Shigeru Furuichi, Kenjiro Yanagi, Ken Kuriyama

arXiv:2104.12931 [math.FA] (Published 2021-04-27)

Some Operator Inequalities via Convexity

Hamid Reza Moradi, Shigeru Furuichi, Mohammad Sababheh

arXiv:1706.03334 [math.FA] (Published 2017-06-11)

Alternative estimates for Tsallis relative operator entropy