Name
Title | ||
|---|---|---|
An extension of a bound for functions in Sobolev spaces, with applications to (m, s)-spline interpolation and smoothing |
Abstract | ||
|---|---|---|
Given a function f on a bounded open subset Ω of $${\mathbb{R}}^n$$ with a Lipschitz-continuous boundary, we obtain a Sobolev bound involving the values of f at finitely many points of $$\overline\Omega$$ . This result improves previous ones due to Narcowich et al. (Math Comp 74, 743–763, 2005), and Wendland and Rieger (Numer
Math 101, 643–662, 2005). We then apply the Sobolev bound to derive error estimates for interpolating and smoothing (m, s)-splines. In the case of smoothing, noisy data as well as exact data are considered. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1007/s00211-007-0092-z | Numerische Mathematik |
Keywords | Field | DocType |
narcowich et,numer math,spline interpolation,error estimate,bounded open subset,lipschitz-continuous boundary,math comp,noisy data,exact data,sobolev space,lipschitz continuity | Mathematical optimization,Noisy data,Spline interpolation,Mathematical analysis,Interpolation,Sobolev space,Smoothing,Numerical approximation,Numerical analysis,Mathematics,Bounded function | Journal |
Volume | Issue | ISSN |
107 | 2 | 0945-3245 |
Citations | PageRank | References |
19 | 1.10 | 7 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Rémi Arcangéli | 1 | 29 | 2.74 |
| María Cruz López de Silanes | 2 | 35 | 3.37 |
| Juan José Torrens | 3 | 36 | 4.06 |