Choi-Davis-Jensen's inequality 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.

Corollary 3.2 was modified. Several typo's were also modified

References in corpus (2)

• A Matrix Convexity Approach to Some Celebrated Quantum Inequalities
• On New Refinements and Reverses of Young's Operator Inequality

Cited by in corpus (1)

• A sharper bound for the Jensen's operator inequality