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Another ineq.

Posted: Wed Aug 06, 2008 8:00 pm
by Claudiu Mindrila
Fie \( a,b,c \) numere reale pozitive. Aratati ca daca \( abc=1 \) atunci \( \frac{a+b}{2(a^7+b^7+c)}+\frac{b+c}{2(b^7+c^7+a)}+\frac{c+a}{2(c^7+a^7+b} \leq 1 \).

Posted: Thu Aug 07, 2008 11:43 pm
by Marius Mainea
Vezi aici