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Inverse and saturation theorems for radial basis function interpolation (1998)
| Content Provider | CiteSeerX |
|---|---|
| Author | Schaback, Robert Wendland, Holger |
| Abstract | While direct theorems for interpolation with radial basis functions are intensively investigated, little is known about inverse theorems so far. This paper deals with both inverse and saturation theorems. As an inverse theorem we especially show that a function that can be approximated sufficiently fast must belong to the native space of the basis function in use. In case of thin plate spline interpolation we also give certain saturation theorems. |
| File Format | |
| Volume Number | 71 |
| Journal | Mathematics of Computation |
| Language | English |
| Publisher Date | 1998-01-01 |
| Access Restriction | Open |
| Subject Keyword | Saturation Theorem Radial Basis Function Interpolation Inverse Theorem Native Space Thin Plate Spline Interpolation Radial Basis Function Certain Saturation Theorem Direct Theorem Basis Function |
| Content Type | Text |
| Resource Type | Article |
