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.
Titolo: | Univariate Radial Basis Functions with Compact Support Cardinal Functions |
Autori: | |
Data di pubblicazione: | 2008 |
Rivista: | |
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. |
Handle: | http://hdl.handle.net/11562/320940 |
Appare nelle tipologie: | 01.01 Articolo in Rivista |
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