Inverse and saturation theorems for radial basis function interpolation

Mathematics of Computation

Volumn 71, Issue 238, 2002, Pages 669-681

  Schaback, Robert ^a   Wendland, Holger ^a  

^a UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

Approximation orders; Positive definite functions

Indexed keywords

EID: 0036013533     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-01-01383-7     Document Type: Article

References (17)

1. Local accuracy for radial basis function interpolation on finite uniform grids
2. m-splines
3. Interpolation by polynomials and radial basis functions on spheres
4. Error estimates for scattered data interpolation on spheres
5. On power functions and error estimates for radial basis function interpolation
6. Multivariate interpolation and conditionally positive definite functions
7. Multivariate interpolation and conditionally positive definite functions II
8. Error estimates and condition numbers for radial basis function interpolation
9. Improved error bounds for radial basis function interpolation
10. Native spaces for radial basis functions I
11. A unified theory of radial basis functions (Native Hilbert spaces for radial basis functions II)
12. Sobolev-type error estimates for interpolation by radial basis functions
13. Error estimates for interpolation by compactly supported radial basis functions of minimal degree
14. Local error estimates for radial basis function interpolation of scattered data