| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4608320 | Journal of Approximation Theory | 2006 | 13 Pages |
Abstract
Suppose u is a function on a domain Ω in Rn all of whose mth order distributional derivatives are in Lp(Ω) and m is sufficiently large to imply that u is continuous. If the values of u on a sufficiently dense, but not necessarily regular, grid of points are in lp we obtain an estimate of the Lp(Ω) norm of u in terms of the lp norm of these values and the Lp norms of its mth order derivatives. This result is useful in obtaining error estimates for certain interpolation schemes.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
