On the spacing of Fekete points for a sphere, ball or simplex (Q1005521)

Consider the polynomial interpolation problem for a compact set that is either the unit ball, the unit sphere or the standard simplex. For general compact sets, a lower bound is previously known about the spacing of the Fekete points. The authors derive an upper bound for a defined spacing of a set of Fekete points of degree \(n\) that maximize the Vandermonde determinant.