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

Published 20 Aug 2019 in math.CV | (1908.07118v3)

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.

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Sione Ma`u

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