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; 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.
Univariate Radial Basis Functions with Compact Support Cardinal Functions
BOS, LEONARD PETER;DE MARCHI, Stefano
2008-01-01
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; 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.
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