An interpolatory view of polynomial least squares approximation.
Journal of Approximation Theory(2020)
摘要
We derive a formula for weighted polynomial least squares approximation which expresses the approximant as a convex combination of interpolants. There is a similar formula for L2 approximation and the same principle applies to multivariate approximation.
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关键词
Polynomial least squares approximation,Polynomial interpolation,Cauchy–Binet theorem
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