Name
Abstract | ||
|---|---|---|
Given a function u belonging to a suitable Beppo-Levi or Sobolev space and an unbounded domain @W in R^n, we prove several Sobolev-type bounds involving the values of u on an infinite discrete subset A of @W. These results improve the previous ones obtained by Madych and Potter [W.R. Madych, E.H. Potter, An estimate for multivariate interpolation, J. Approx. Theory 43 (1985) 132-139] and Madych [W.R. Madych, An estimate for multivariate interpolation II, J. Approx. Theory 142 (2006) 116-128]. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.jat.2008.09.001 | Journal of Approximation Theory |
Keywords | Field | DocType |
unbounded domain,suitable beppo-levi,infinite discrete subset a,multivariate interpolation,w.r. madych,j. approx,function u,sobolev space,estimate | Discrete mathematics,Mathematical optimization,Approx,Multivariate interpolation,Mathematical analysis,Sobolev space,Sobolev inequality,Affine equivalence,Mathematics | Journal |
Volume | Issue | ISSN |
161 | 1 | 0021-9045 |
Citations | PageRank | References |
5 | 0.50 | 5 |
Authors | ||
5 | ||
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 |
| López de SilanesMaría Cruz | 4 | 10 | 0.96 |
| TorrensJuan José | 5 | 10 | 0.96 |