On a conjecture of Carl de Boor regarding the limits of Lagrange interpolants

DOI10.1007/s00365-006-0634-7zbMath1239.41008OpenAlexW2094319117WikidataQ123251287 ScholiaQ123251287MaRDI QIDQ851116

Boris Shekhtman

Publication date: 17 November 2006

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-006-0634-7

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05)

Related Items (13)

Error formulas for Lagrange projectors determined by Cartesian sets ⋮ The structure of a second-degree \(D\)-invariant subspace and its application in ideal interpolation ⋮ On one class of Hermite projectors ⋮ An algorithm for the discretization of an ideal projector ⋮ The equivalent representation of the breadth-one \(D\)-invariant polynomial subspace and its discretization ⋮ The discretization for a special class of ideal projectors ⋮ On the pointwise limits of bivariate Lagrange projectors ⋮ Polynomial interpolation in \(\mathbb R^2\) and on the unit sphere in \(\mathbb R^3\) ⋮ Bivariate ideal projectors and their perturbations ⋮ On the continuity of multivariate Lagrange interpolation at natural lattices ⋮ The discretization for bivariate ideal interpolation ⋮ On the limits of Lagrange projectors ⋮ The discrete approximation problem for a special case of Hermite-type polynomial interpolation

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