On a Geometric Approach to the Estimation of Interpolation Projectors

Mikhail Nevskii, Alexey Ukhalov

Suppose $\Omega$ is a closed bounded subset of ${\mathbb{R}}^n,$ $S$ is an $n$-dimensional non-degenerate simplex, $\xi (\Omega ;S):=\min \left\{\sigma \ge 1:\Omega \subset \sigma S\right\}$. Here $\sigma S$ is the…