INEQUALITY'S BLOG

July 29, 2010

(van khea):Problem 019

Filed under: Uncategorized — KKKVVV @ 12:53 am

Let a, b, c>0. Prove that:

a\sqrt{a+2b}+b\sqrt{b+2c}+c\sqrt{c+2a}\displaystyle \geq \frac{11(ab+bc+ca)+48\sqrt[3]{a^{2}b^{2}c^{2}}}{9\sqrt{a+b+c}}

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