engleski

A variant of Jensen's inequality in Hilbert space

A variant of Jensen's inequality for selfadjoint operators on a Hilbert space, which is a generalization of Mercer's result, is proved. Obtained result is used to prove a monotonicity property for Mercer's power means, and a comparision theorem for related quasi- arithmetic means.

Jensen's inequality for selfadjoint operators ; monotonicity property of power means of Mercer's type ; quasi-arithmetic means

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