The crucial constants in the exponential-type error estimates for Gaussian interpolation

Analysis in Theory and Applications

Volumn 24, Issue 2, 2008, Pages 183-194

  Luh, Lintian ^a  

^a PROVIDENCE UNIVERSITY   (Taiwan)

Author keywords

Error bound; Gaussian; Interpolation; Radial basis function

Indexed keywords

EID: 51549085632     PISSN: 16724070     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10496-008-0183-4     Document Type: Article

References (10)

1. von zur Gathen, J. and Gerhard, J., Modern Computer Algebra Second Edition, 2003, Cambridge University Press.
2. Graham, R. L., Knuth, D. E. and Patashnik, O., Concrete Mathematics, Addison-Wesley, Reading MA, 2nd edition, First edition 1989.
3. Lin-Tian Luh, The Equivalence Theory of Native Spaces, Approximation Theory and its Application, 17:1(2001), 76-96.
4. Lin-Tian Luh, The Embedding Theory of Native Spaces, Approximation Theory and its Application, 17:4(2001), 90-104.
5. Lin-Tian Luh, On Wu and Schaback's Error Bound, to appear.
6. Lin-Tian Luh, The Completeness of Function Spaces, to appear.
7. Madych, W. R. and Nelson, S. A., Multivariate Interpolation and Conditionally Positive Definite Function, Approx. Theory Appl., 4:4(1988), 77-89.
8. Madych, W. A. and Nelson, S. A., Multivariate Interpolation and Conditionally Positive Definite Function, II, Math. Comp., 54(1990), 211-230.
9. Madych, W. A. and Nelson, S. A., Bounds on Multivariate Polynomials and Exponential Error Estimates for Multiquadric Interpolation, J. Approx. Theory, 70(1992), 94-114.
10. Wu, Z. and Schaback, R., Local Error Estimates for Radial Basis Function Interpolation of Scattered Data, IMA J. of Numerical Analysis, 13(1993), 13-27.