Measures generated by Iterated Function Systems can be used in place of atomic measures in Gaussian integration. A stable algorithm for the numerical solution of the related approximation problem---an inverse problem in fractal construction---is proposed.
Fractal measures and polynomial sampling: IFS-Gaussian integration
MANTICA, GIORGIO DOMENICO PIO
2007-01-01
Abstract
Measures generated by Iterated Function Systems can be used in place of atomic measures in Gaussian integration. A stable algorithm for the numerical solution of the related approximation problem---an inverse problem in fractal construction---is proposed.
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