hard Inequality.
Posted: Wed Jan 19, 2011 2:43 pm
If $a,b,c,d>0$ and $a+b+c+d=1$. Then prove that $\frac{3}{8}+32abcd \geq \frac{ab}{a+b}+\frac{bc}{b+c}+\frac{cd}{c+d}+\frac{da}{d+a}$
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