On the density of radial function spaces and stability of radial function approximations /
| Main Authors: | , |
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| Corporate Authors: | , |
| Format: | Book |
| Language: | English |
| Published: |
College Station, Texas :
Center for Approximation Theory, Department of Mathematics, Texas A & M University,
1990.
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| Series: | CAT report ;
no. 233. |
| Subjects: |
| Abstract: | We give sufficient conditions on a radial basis function and study the location of sample points in R^s that imply that the space spanned by translates of the radial function along these sample points is dense in the space of continuous functions on a compact set. From this, we derive that these radial functions do not satisfy a stability estimate in the uniform norm. On the other hand, we also give a class of radial functions for which such an estimate holds. |
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| Item Description: | "October 1990." Funding information taken from page 1. |
| Physical Description: | 10 pages ; 28 cm |
| Bibliography: | Includes bibliographical references (page 10). |