Three-monotone interpolation

Josef Cibulka, Jiří Matoušek, Pavel Paták

A function $f:\mathbb{R}\to \mathbb{R}$ is called \emph{$k$-monotone} if it is $(k-2)$-times differentiable and its $(k-2)$nd derivative is convex. A point set $P\subset\mathbb R…