inegalitatea cu enunt elementar
Posted: Tue Mar 23, 2010 11:51 pm
Fie \( a, b, c \) numere reale strict pozitive. Sa se arate ca
\( \sum_{cyc}\frac{bc}{(b+c)^2}\leq\frac{1}{4}+\frac{4abc}{\prod (a+b)} \).
\( \sum_{cyc}\frac{bc}{(b+c)^2}\leq\frac{1}{4}+\frac{4abc}{\prod (a+b)} \).