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On the error in multivariate polynomial interpolation

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Publication:1195366
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DOI10.1016/0168-9274(92)90046-GzbMath0759.41001OpenAlexW2123585176MaRDI QIDQ1195366

Carl De Boor

Publication date: 25 October 1992

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(92)90046-g


zbMATH Keywords

interpolation errormultivariate polynomial interpolation scheme


Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Approximation by polynomials (41A10)


Related Items (6)

Error formulas for Lagrange projectors determined by Cartesian sets ⋮ Error formulas for ideal interpolation ⋮ A natural interpolation of \(C^ k \)functions ⋮ Multivariate polynomial interpolation on lower sets ⋮ On non-existence of certain error formulas for ideal interpolation ⋮ On the existence of certain error formulas for a special class of ideal projectors



Cites Work

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  • The least solution for the polynomial interpolation problem
  • On multivariate polynomial interpolation
  • Computational Aspects of Polynomial Interpolation in Several Variables
  • Formulas to represent functions by their derivatives


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