Pointwise approximation with quasi-interpolation by radial basis functions

We consider radial basis function approximations using at first a localization of the basis functions known as quasi-interpolation (to be contrasted to the plain linear combinations of shifts of radial basis functions or for instance cardinal interpolation). Using these quasi-interpolants we derive...

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Vydané v:Journal of approximation theory Ročník 192; s. 156 - 192
Hlavní autori: Buhmann, Martin D., Dai, Feng
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Elsevier Inc 01.04.2015
Predmet:
Convergence estimates
Quasi-interpolation
Radial basis functions
Quasi-interpolation
Radial basis functions
Convergence estimates
ISSN:0021-9045, 1096-0430
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Popis
Shrnutí:We consider radial basis function approximations using at first a localization of the basis functions known as quasi-interpolation (to be contrasted to the plain linear combinations of shifts of radial basis functions or for instance cardinal interpolation). Using these quasi-interpolants we derive various pointwise error estimates in Lp for p∈[1,∞).
ISSN:0021-9045
1096-0430
DOI:10.1016/j.jat.2014.11.005