An estimate for multivariate interpolation II

Journal of Approximation Theory

Volumn 142, Issue 2, 2006, Pages 116-128

  Madych, W R ^a  

^a UNIVERSITY OF CONNECTICUT   (United States)

Author keywords

Error bounds; Kowalewski's formula; Multivariate interpolation; Sobolev space

Indexed keywords

EID: 33748967993     PISSN: 00219045     EISSN: 10960430     Source Type: Journal    
DOI: 10.1016/j.jat.2006.03.011     Document Type: Article

References (8)

1. Adams R.A. Sobolev Spaces (1975), Academic Press, New York
2. Davis P.J. Interpolation and Approximation (1975), Dover, New York
3. Madych W.R., and Nelson S.A. Bounds on multivariate polynomials and exponential error estimates for multiquadric interpolation. J. Approx. Theory 70 1 (1992) 94-114
4. Madych W.R., and Potter E.H. An estimate for multivariate interpolation. J. Approx. Theory 43 2 (1985) 132-139
5. Narcowich F.J., Ward J.D., and Wendland H. Sobolev bounds on functions with scattered zeros with applications to radial basis function surface fitting. Math. Comp. 74 250 (2005) 743-763
6. d). Proc. Amer. Math. Soc. 127 12 (1999) 3593-3600
7. Wendland H. Scattered Data Approximation (2005), Cambridge University Press, Cambridge
8. Wendland H., and Rieger C. Approximate interpolation with applications to selecting smoothing parameters. Numer. Math. 101 (2005) 643-662