On non-existence of certain error formulas for ideal interpolation

DOI10.1016/j.jat.2010.02.009zbMath1205.41005OpenAlexW2056493170MaRDI QIDQ979050

Boris Shekhtman

Publication date: 25 June 2010

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2010.02.009

zbMATH Keywords

ideal projectorBezout's theoremerror formulasideal basis

Mathematics Subject Classification ID

Multidimensional problems (41A63) Interpolation in approximation theory (41A05)

Related Items (3)

Error formulas for Lagrange projectors determined by Cartesian sets ⋮ 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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• On one question of Ed Saff
• On polynomial ideals of finite codimension with applications to box spline theory
• On the error in multivariate polynomial interpolation
• Ideal Interpolation: Translations to and from Algebraic Geometry
• The Error in Linear Interpolation at the Vertices of a Simplex

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