Inegalitate conditionata cu suma variabilelor

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Radu Titiu
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Inegalitate conditionata cu suma variabilelor

Post by Radu Titiu »

Fie \( a,b,c>0 \) a.i. \( a+b+c=3 \). Aratati ca
\( \frac{1}{2+a^2b}+\frac{1}{2+b^2c}+\frac{1}{2+c^2a}\leq \frac{a^3+b^3+c^3}{2+abc} \).
A mathematician is a machine for turning coffee into theorems.
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