# Nesbitt’s inequality

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.

Title Nesbitt’s inequality NesbittsInequality 2013-03-22 12:36:59 2013-03-22 12:36:59 mathwizard (128) mathwizard (128) 7 mathwizard (128) Theorem msc 00A07 ShapiroInequality