a, b, c-real positive numbers, abc=1. Prove that$\displaystyle \frac {a + b}{2(a^7 + b^7 + c)} +\frac {b + c}{2(b^7 + c^7 + a)}+ \frac {c + a}{2(c^7 + a^7 + b)}<=1$
Last edited by ely_en; Sep 2nd 2008 at 07:28 AM.
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