engleski

Refinements of Jensen's inequality of Mercer's type for operator convex functions

Refinements of Jensen's inequality for operator convex functions, which are generalizations of Mercer's result, are proved. Obtained results are used to refine monotonicity properties for power means of Mercer's type, and a comparision theorem for quasi-arithmetic means of Mercer's type for operators.

Jensen's inequality ; operator convex functions ; monotonicity ; power means ; quasi-arithmetic means

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