Fie \( a, b, c \) numere reale strict pozitive. Sa se arate ca
\( \sum_{cyc}\frac{bc}{(b+c)^2}\leq\frac{1}{4}+\frac{4abc}{\prod (a+b)} \).
inegalitatea cu enunt elementar
Moderators: Laurian Filip, Filip Chindea, Radu Titiu, maky, Cosmin Pohoata
- Cezar Lupu
- Site Admin
- Posts: 612
- Joined: Wed Sep 26, 2007 2:04 pm
- Location: Bucuresti sau Constanta
- Contact:
inegalitatea cu enunt elementar
An infinite number of mathematicians walk into a bar. The first one orders a beer. The second orders half a beer. The third, a quarter of a beer. The bartender says “You’re all idiots”, and pours two beers.