Showing papers by "Len Bos published in 2008"
TL;DR: In this paper, it was shown that there are constants c1, c2 > 0 such that for a set of Fekete points (maximizing the Vandermonde determinant) of degree n, Fn ⊂ K,
27 citations
Posted Content•
TL;DR: For a non-pluripolar compact set K in C^d and an admissible weight function w =e^{-\phi} for K,\phi, it was shown in this article that any sequence of so-called optimal measures converges weak-* to the equilibrium measure of (weighted) Pluripotential theory for K.
Abstract: Using recent results of Berman and Boucksom we show that for a non-pluripolar compact set K in C^d and an admissible weight function w=e^{-\phi} any sequence of so-called optimal measures converges weak-* to the equilibrium measure \mu_{K,\phi} of (weighted) Pluripotential Theory for K,\phi.
20 citations
TL;DR: Three natural pseudodistances and pseudometrics on a bounded domain in R^N based on polynomial inequalities are discussed.
15 citations
TL;DR: In this article, the interpolant of a function is obtained by specifying suitable discrete differential conditions on the restrictions of the function to algebraic hypersurfaces, and the least space of a finite-dimensional space of analytic functions plays an essential role in the definition of these differential conditions.
Abstract: We construct new multivariate polynomial interpolation schemes of Hermite type. The interpolant of a function is obtained by specifying suitable discrete differential conditions on the restrictions of the function to algebraic hypersurfaces. The least space of a finite-dimensional space of analytic functions plays an essential role in the definition of these differential conditions.
15 citations
Journal Article•
TL;DR: In this article, the class of univariate Radial Basis Functions for which the cardinal function for interpolation at x1 < x2 < · · · < xn has support [x i−1, x i+1 ].
Abstract: We discuss the class of univariate Radial Basis Functions for which the ith cardinal function ui for interpolation at x1 < x2 < · · · < xn has support [x i−1 , x i+1 ]. We also give an explicit example where it can be proven that the points in an interval [a, b] for which the associated Lebesgue constant is minimal, are equally spaced.
6 citations