min{a,b,c} \leq ...

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Marius Dragoi
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Joined: Thu Jan 31, 2008 5:57 pm
Location: Bucharest

min{a,b,c} \leq ...

Post by Marius Dragoi »

Sa se demonstreze ca daca \( a,b,c \in R \) cu \( a^2+b^2+c^2=9 \) atunci:
\( 3 \min{(a,b,c)} \leq 1+abc \).

Shortlist ONM 2004, Virgil Nicula
Politehnica University of Bucharest
The Faculty of Automatic Control and Computers
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