[不等式] Nguyễn Huy Hùng's inequality
本帖最后由 pxchg1200 于 2012-8-20 19:24 编辑
Let $a,b,c>0$ prove that:
\[ (a^{2}+ab+b^{2})(b^{2}+bc+c^{2})(c^{2}+ca+a^{2})\le\left(\frac{a^{2}+b^{2}+c^{2}+(\sqrt{3}-1)(ab+bc+ca)}{\sqrt{3}}\right)^{3} \]
it's weak or not?
|
本主题由 kuing 于 2013-1-19 17:06 分类
发表于 2012-8-20 19:23