Choi-Davis-Jensen's inequality without convexity

2017/05/27 by Jadranka Mičić, Hamid Reza Moradi, Mićić, Jadranka +3
Mathematics · #15A39 #26D15 #47A63 #47A64 #94A17 #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results #Mathematical Inequalities and Applications #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1705.09784

openalex publication_date 2017/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• On New Refinements and Reverses of Young's Operator Inequality

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