A note on inequalities for Tsallis relative operator entropy

Document Type : Research Paper

Authors

School of Mathematics and Statistics‎, ‎Chongqing Three Gorges University‎, ‎Chongqing‎, ‎404100‎, ‎P‎. ‎R‎. ‎China.

Abstract

‎In this short note‎, ‎we present some inequalities for relative operator entropy which are generalizations of some results obtained by Zou [Operator inequalities associated with Tsallis relative operator entropy‎, Math‎. ‎Inequal‎. ‎Appl. 18 (2015)‎, ‎no‎. ‎2‎, ‎401--406]‎. ‎Meanwhile‎, ‎we also show some new lower and upper bounds for relative operator entropy and Tsallis relative operator entropy.

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Main Subjects


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