Cho các số thực dương $a,b,c> 0$ .CMR :
$\sqrt[8]{\frac{a^{8}+b^{8}}{2}}+\sqrt[8]{\frac{b^8+c^8}{2}}+\sqrt[8]{\frac{c^8+a^8}{2}}\leq (a+b+c)^{10}(\frac{1}{9a}+\frac{1}{9b}+\frac{1}{9c})^9$
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Posted 29-01-2015 - 14:21
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