Choi-Davis-Jensen's inequality without convexity
Jadranka Mi\'ci\'c, Hamid Reza Moradi, Shigeru Furuichi
TL;DR
This paper extends the Choi-Davis-Jensen inequality to non-convex contexts, providing new inequalities that enhance existing results, especially in quantum information theory.
Contribution
It introduces a version of the Choi-Davis-Jensen inequality without convexity assumptions, leading to improved inequalities for operator and quantum entropies.
Findings
New inequalities for relative operator entropies
Enhanced bounds for quantum mechanical entropies
Extension of Jensen-type inequalities without convexity
Abstract
We give the Choi-Davis-Jensen type inequality without using convexity. Applying our main results, we also give new inequalities improving previous known results. In particular, we show some inequalities for relative operator entropies and quantum mechanical entropies.
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Taxonomy
TopicsMathematical Inequalities and Applications · Functional Equations Stability Results · Mathematical functions and polynomials