Nesbitt's inequality

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Nesbitt’s inequality says, that for positive real $a$ , $b$ and $c$ we have:

\frac{a}{b+c}+\frac{b}{a+c}+\frac{c}{a+b}\geq\frac{3}{2}.

This is a special case of Shapiro’s inequality.

Type of Math Object:

Theorem

Major Section:

Reference

00A07 Problem books