engleski

Converses of convex inequalities in Hilbert space

In this paper we give converses of the operator version for the Jensen inequality and the scalar Lah–Ribarič inequality.We also apply those results to quasi-arithmetic means and power means for selfadjoint operators.

Selfadjoint operators; Jensen’s inequality; Lah–Ribarič’s inequality; convex functions; quasi-arithmetic means; arithmetic means

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