Extremal functions for real convex bodies: simplices, strips, and ellipses

Abstract

We present an explicit method to compute the (Siciak-Zaharjuta) extremal function of a real convex polytope in terms of supporting simplices and strips. We use this to give a new proof of the existence of extremal ellipses associated to the extremal function of a real convex body.

45 pages, 4 figures. The main theorem has a new proof

References in corpus (1)

• Extremal functions for real convex bodies

Cited by in corpus (1)

• Widom factors in ${\mathbb{C}}^n$