Nesbitt’s inequality

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

$$\frac{a}{b+c}+\frac{b}{a+c}+\frac{c}{a+b}\ge \frac{3}{2}.$$

This is a special case of Shapiro’s inequality.

Title	Nesbitt’s inequality
Canonical name	NesbittsInequality
Date of creation	2013-03-22 12:36:59
Last modified on	2013-03-22 12:36:59
Owner	mathwizard (128)
Last modified by	mathwizard (128)
Numerical id	7
Author	mathwizard (128)
Entry type	Theorem
Classification	msc 00A07
Related topic	ShapiroInequality