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
DE MARCHI, STEFANO
2008
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.File in questo prodotto:
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