Sibiu 2008

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alex2008
Leibniz
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Sibiu 2008

Post by alex2008 »

Daca \( a_1,a_2,...,a_n \in [0;1] \) , sa se demonstreze inegalitatea :

\( \frac{a_1}{a_1a_2+n-1}+\frac{a_2}{a_2a_3+n-1}+...+\frac{a_n}{a_na_1+n-1}\le1 \)
. A snake that slithers on the ground can only dream of flying through the air.
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Marius Mainea
Gauss
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Location: Gaesti (Dambovita)

Post by Marius Mainea »

\( \sum{\frac{a_i}{a_ia_{i+1}+n-1}}\le \sum{\frac{a_i}{a_1+a_2+...+a_n}}=1 \)
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