Quasi-interpolation with translates of a function having noncompact support

DOI10.1007/BF01208904zbMath0762.41020MaRDI QIDQ1187188

E. W. Cheney, William A. Light

Publication date: 28 June 1992

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

zbMATH Keywords

controlled approximation

Mathematics Subject Classification ID

Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Approximation by operators (in particular, by integral operators) (41A35) Approximation by other special function classes (41A30) Approximation by arbitrary linear expressions (41A45)

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Cites Work

• Multivariate interpolation in odd-dimensional euclidean spaces using multiquadrics
• On the approximation order from certain multivariate spline spaces
• Controlled Approximation and a Characterization of the Local Approximation Order
• A Counterexample to a Result Concerning Controlled Approximation
• A Natural Formulation of Quasi-Interpolation by Multivariate Splines
• Fourier Analysis of the Finite Element Method in Ritz‐Galerkin Theory
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