## convex-concave function

Polinomi, disuguaglianze, numeri complessi, ...
marcomila99
Messaggi: 4
Iscritto il: 23 giu 2017, 19:42

### convex-concave function

How do you prove that if $f(x)$ is a convex-concave function, $\min\left(\sum_{i=1}^nf\left(x_i\right)\right)$ is when $x_1=x_2=...=x_n$ wher $x_i \in$ convex part of $f$ or when $x_1 \neq x_2=x_3=...=x_n$ wher $x_1 \in$ concave part of $f$ and $x_i \in$ convex part of $f$ (for $i >1$ ) ?