O inegalitate dificila
Posted: Mon Mar 31, 2008 12:01 am
Daca \( a_1,\ a_2,\ ...\ ,\ a_n \in R \), atunci sa se demonstreze urmatoarea inegalitate
\( \sum_{1 \leq i,j \leq n}^{} {\frac {a_i a_j}{i+j-1}}\ \geq\ 0 \).
\( \sum_{1 \leq i,j \leq n}^{} {\frac {a_i a_j}{i+j-1}}\ \geq\ 0 \).