A continuity property of multivariate Lagrange interpolation
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Publication:4372659
DOI10.1090/S0025-5718-97-00858-2zbMath0882.41002MaRDI QIDQ4372659
Publication date: 16 December 1997
Published in: Mathematics of Computation (Search for Journal in Brave)
Kergin interpolationinterpolation schemes in \({\mathbb{R}}^{n}\)Multivariable Lagrange interpolants
Related Items (11)
On interpolation by homogeneous polynomials in \(\mathbb{R}^2\) ⋮ On bivariate Hermite interpolation and the limit of certain bivariate Lagrange projectors ⋮ A note on Lagrange interpolation at principal lattices ⋮ Lower complexity bounds for interpolation algorithms ⋮ Polynomial interpolation in \(\mathbb R^2\) and on the unit sphere in \(\mathbb R^3\) ⋮ Unnamed Item ⋮ On the continuity of multivariate Lagrange interpolation at natural lattices ⋮ The Newton product of polynomial projectors Part 1: Construction and algebraic properties ⋮ Hermite interpolation on algebraic curves in \(\mathbb{C}^2\) ⋮ Combining interpolation schemes and Lagrange interpolation on the unit sphere in \(\mathbb{R}^{N+1} \) ⋮ Polynomial interpolation on the unit sphere and some properties of its integral means
Cites Work
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- A constructive approach to Kergin interpolation in \(R^ k\): Multivariate B-splines and Lagrange interpolation
- A natural interpolation of \(C^ k \)functions
- On certain configurations of points in \(\mathbb{R}{}^ n\) which are unisolvent for polynomial interpolation
- Multivariate Birkhoff interpolation
- Polynomial interpolation with prescribed analytic functionals
- Integral error formulae for the scale of mean value interpolations which includes Kergin and Hakopian interpolation
- General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods
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