00A07-NesbittsInequality.tex

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\pmtitle{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.
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