Sibiu 2008
Posted: Fri Nov 28, 2008 11:21 pm
Daca \( a_1,a_2,...,a_n \in [0;1] \) , sa se demonstreze inegalitatea :
\( \frac{a_1}{a_1a_2+n-1}+\frac{a_2}{a_2a_3+n-1}+...+\frac{a_n}{a_na_1+n-1}\le1 \)
\( \frac{a_1}{a_1a_2+n-1}+\frac{a_2}{a_2a_3+n-1}+...+\frac{a_n}{a_na_1+n-1}\le1 \)