engleski

Integral, discrete and functional variants of Jensen's inequality

We deal with convex functions on bounded closed convex sets with common barycenter. More precisely, the integral arithmetic means of convex function $f$ are compared on the sets $A$ and $B$ with $A\subseteq B$. The paper shows series of inequalities hold for convex function of one variable, but it doesn't hold generally for convex functions of several variables.

barycentre; convex function; convex set; Jensen's inequality; power mean; quasi-arithmetic mean

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