\[a, b, c>0\] \[a^{2}+ b^{2}+ c^{2}= 1\]
\[\frac{a}{b^{2}+ 1}+ \frac{b}{c^{2}+ 1}+ \frac{c}{a^{2}+ 1}\geq \frac{3}{4}\left ( a\sqrt{a}+ b\sqrt{b}+ c\sqrt{c} \right )^{2}\]
\[\geq {3}{4}\left ( a\sqrt{a}+ b\sqrt{b}+ c\sqrt{c} \right )^{2}\]
Started By DOTOANNANG, 21-03-2018 - 10:38
inequality
Also tagged with one or more of these keywords: inequality
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