Extension theorems for spaces arising from approximation by translates of a basic function

DOI10.1006/jath.2001.3635zbMath0993.41011OpenAlexW1977835243MaRDI QIDQ1604426

Michelle Vail, William A. Light

Publication date: 4 July 2002

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

Full work available at URL: https://doi.org/10.1006/jath.2001.3635

zbMATH Keywords

Sobolev spacesinterpolation theorylocal error estimates

Mathematics Subject Classification ID

Approximation by other special function classes (41A30)

Related Items (2)

Where there's a Will there's a way -- the research of Will Light ⋮ Error estimates for interpolation of rough data using the scattered shifts of a radial basis function

Cites Work

• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• Spaces of distributions, interpolation by translates of a basis function and error estimates
• On power functions and error estimates for radial basis function interpolation
• Direct form seminorms arising in the theory of interpolation by translates of a basis function
• Local error estimates for radial basis function interpolation of scattered data
• Real Interpolation of Sobolev Spaces on Subdomains of Rn
• Sur l’erreur d’interpolation des fonctions de plusieurs variables par les $D^m$-splines
• Multivariate Interpolation and Conditionally Positive Definite Functions. II
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