Abstract

Suppose that K ⊂ ℝ d is either the unit ball, the unit sphere or the standard simplex. We show that there are constants c 1, c 2 > 0 such that for a set of Fekete points (maximizing the Vandermonde determinant) of degree n, F n ⊂ K, [Display omitted] for all a ∈ F n . Here dist( a, b) is a natural distance on K that will be described in the text.

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