Inegalitate de Dan Marinache
Posted: Sun Mar 01, 2009 3:30 pm
Daca \( a,b,c >0 \) astfel incat \( abc=1 \), sa se demonstreze ca :
\( \frac{2a}{ab+1}+\frac{2b}{bc+1}+\frac{2c}{ca+1}\le a\sqrt{c}+b\sqrt{a}+c\sqrt{b} \)
Dan Marinache
\( \frac{2a}{ab+1}+\frac{2b}{bc+1}+\frac{2c}{ca+1}\le a\sqrt{c}+b\sqrt{a}+c\sqrt{b} \)
Dan Marinache