Inegalitate SHL

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Sorin
Arhimede
Posts: 7
Joined: Sat Jul 19, 2008 10:52 am
Location: Timisoara

Inegalitate SHL

Post by Sorin »

Se dau numerele reale \( x,y,z \geq 0 \) . Sa se demonstreze inegalitatea
\( \frac{x}{y+z} + \frac{y}{z+x} + \frac{z}{x+y} \geq \sqrt{2} \cdot \sqrt{2- \frac{7xyz}{(x+y)(y+z)(z+x)}} \)
Cand are loc egalitatea?

Andrei Ciupan
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Marius Mainea
Gauss
Posts: 1077
Joined: Mon May 26, 2008 2:12 pm
Location: Gaesti (Dambovita)

Post by Marius Mainea »

vezi aici
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