Estimates for Tsallis relative operator entropy
Hamid Reza Moradi, Shigeru Furuichi, Nicu\c{s}or Minculete
TL;DR
This paper establishes tight bounds for Tsallis relative operator entropy using Hermite-Hadamard's inequality, introduces related reverse inequalities, and explores operator inequalities involving normalized positive linear maps.
Contribution
It provides the first tight bounds for Tsallis relative operator entropy and extends inequalities related to Young inequalities and positive linear maps.
Findings
Derived tight bounds for Tsallis relative operator entropy
Presented reverse inequalities related to Young inequalities
Established operator inequalities involving normalized positive linear maps
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical Inequalities and Applications · Mathematical functions and polynomials · Statistical Mechanics and Entropy