INEQUALITY'S BLOG

August 7, 2011

Problem 246 van khea

Filed under: Problem by Van Khea — KKKVVV @ 1:31 am

Let a, b, c be positive real numbers. Prove that:

\displaystyle \sum_{cyc}\frac{(a-b)^2}{a\sqrt{bc}}\geq 2\sum_{cyc}\frac{a-b}{a+b}\frac{a-c}{b}+2\sum_{cyc}\frac{a-c}{a+c}\frac{a-b}{c}

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