engleski

More accurate weak majorization relations for the Jensen and some related inequalities

Motivated by results of Aujla and Silva, we give several more precise weak majorization and eigenvalue inequalities for some matrix versions of the famous Jensen inequality with regard to a convexity. Our main results are then applied to log convex functions. As an application, we obtain refinements of some well-known matrix nequalities.

Convex function; Jensen inequality; eigenvalue; weak majorization; unitarily invariant norm

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