Multivariate polynomial interpolation on lower sets.

Journal of Approximation Theory（2014）

引用 21|浏览4

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摘要

In this paper we study multivariate polynomial interpolation on lower sets of points. A lower set can be expressed as the union of blocks of points. We show that a natural interpolant on a lower set can be expressed as a linear combination of tensor-product interpolants over various intersections of the blocks that define it.

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关键词

Multivariate polynomial interpolation,Lower sets,Tensor-product interpolants

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