ISSN:
1432-0940
Keywords:
Primary 41A15
;
41A63
;
41A25
;
65D15
;
Secondary 41A30
;
65D07
;
65D10
;
Radial basis functions
;
Quasi-interpolation
;
Multivariate approximation
;
Scattered data
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Approximation by radial basis functions with “quasi-uniformly” distributed centres inR d is discussed. A construction of new polynomially decaying functions that span the approximation space is presented and the properties of the quasi-interpolation operator with these functions are investigated. It is shown that the quasi-interpolant reproduces polynomials and gives approximation orders identical to those in the uniform square-grid case.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01203417
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