dc.contributor.author |
Dung, D. |
|
dc.date.accessioned |
2011-05-05T03:25:55Z |
|
dc.date.available |
2011-05-05T03:25:55Z |
|
dc.date.issued |
2011 |
|
dc.identifier.citation |
Volume: 34 Issue: 1 Page : 1-41 |
vi |
dc.identifier.issn |
10197168 |
|
dc.identifier.uri |
http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/6596 |
|
dc.description.abstract |
We propose an approach to study optimal methods of adaptive sampling recovery of functions by
sets of a finite capacity which is measured by their cardinality or pseudo-dimension. Let W ?? Lq, 0 < q ??
??, be a class of functions on Id. For B a subset in Lq, we define a sampling recovery method with the free
choice of sample points and recovering functions from B as follows. For each f ?? W we choose n sample
points. This choice defines n sampled values. Based on these sampled values, we choose a function from B
for recovering f. The choice of n sample points and a recovering function from B for each f ?? W defines a
sampling recovery method SB
n by functions in B. |
vi |
dc.language.iso |
en |
vi |
dc.publisher |
Advances in Computational Mathematics |
vi |
dc.subject |
Adaptive sampling recovery |
vi |
dc.subject |
B-spline |
vi |
dc.subject |
Besov space |
vi |
dc.subject |
Quasi-interpolant wavelet representation |
vi |
dc.title |
Optimal adaptive sampling recovery |
vi |
dc.type |
Article |
vi |