CONVOLUTION-OPERATORS FOR RADIAL BASIS APPROXIMATION

Authors
LEVESLEY J XU Y LIGHT W CHENEY W
Citation
J. Levesley et al., CONVOLUTION-OPERATORS FOR RADIAL BASIS APPROXIMATION, SIAM journal on mathematical analysis, 27(1), 1996, pp. 286-304
Citations number
16
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis → ACNP
ISSN journal
00361410
Volume
27
Issue
1
Year of publication
1996
Pages
286 - 304
Database
ISI
SICI code
0036-1410(1996)27:1<286:CFRBA>2.0.ZU;2-F
Abstract
We construct a large class of continuous integrable functions on R(n) to serve as kernels for approximations to the identity. These kernels are associated with convolution operators that produce approximations to arbitrary continuous functions on R(n) by linear combinations of sh ifted and dilated radial functions.