Extreme Points of the Unit Ball B4 in the Space of Real Polynomials of Degree at most Four with the Supremum Norm

Abstract

Denote by Pn the space of real polynomials p of degree at most n equipped with the sup norm on the interval I = [−1, 1]. The unit ball Bn with respect to the sup norm is a compact convex set. Let EBn denote the set of the extreme points of Bn.