On the Semi-norm of Radial Basis Function Interpolants

Journal of Approximation Theory

Volumn 111, Issue 2, 2001, Pages 315-328

  Gutmann, Hans Martin ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242346694     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.2001.3579     Document Type: Article

References (10)

1. Abramowitz M., Stegun I. A. Handbook of Mathematical Functions. Applied Mathematics Series. 55:1964;United States Department of Commerce.
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3. Katznelson Y. An Introduction to Harmonic Analysis. 1976;Dover Publications, New York.
4. Powell M. J. D. Approximation Theory and Methods. 1981;Cambridge University Press, Cambridge.
5. Powell M. J. D. The theory of radial basis function approximation in 1990. Light W. A. Advances in Numerical Analysis, Volume 2: Wavelets, Subdivision Algorithms and Radial Basis Functions. 1992;105-210 Oxford University Press, Oxford.
6. Rudin W. Real and Complex Analysis. 1987;Mc Graw-Hill, Singapore.
7. Schaback R. Comparison of radial basis function interpolants. Jetter K., Utreras F. Multivariate Approximations: From CAGD to Wavelets. 1993;293-305 World Scientific, Singapore.
8. Schaback R. Native Hilbert spaces for radial basis functions I. Müller M. W., Buhmann M. D., Mache D. H., Felten M. New Developments in Approximation Theory. 1999;255-282 Birkhäuser Verlag, Basel.
9. R. Schaback, and, H. Wendland, Inverse and saturation theorems for radial basis function interpolation, preprint, Universität Göttingen, 1998.
10. R. Schaback, and, H. Wendland, Characterization and construction of radial basis functions, preprint, Universität Göttingen, 2000.