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Fractal measures and polynomial sampling: I.F.S.–Gaussian integration

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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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Correspondence to Giorgio Mantica.

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Dedicated to Walter Gautschi.

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Mantica, G. Fractal measures and polynomial sampling: I.F.S.–Gaussian integration. Numer Algor 45, 269–281 (2007). https://doi.org/10.1007/s11075-007-9111-5

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  • DOI: https://doi.org/10.1007/s11075-007-9111-5

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