Back to Search
Start Over
Optimal recovery on the classes of functions with bounded mixed derivative.
- Source :
- Acta Mathematica Sinica; Feb2009, Vol. 25 Issue 2, p279-286, 8p
- Publication Year :
- 2009
-
Abstract
- Temlyakov considered the optimal recovery on the classes of functions with bounded mixed derivative in the L<subscript> p</subscript> metrics and gave the upper estimates of the optimal recovery errors. In this paper, we determine the asymptotic orders of the optimal recovery in Sobolev spaces by standard information, i.e., function values, and give the nearly optimal algorithms which attain the asymptotic orders of the optimal recovery. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14398516
- Volume :
- 25
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Acta Mathematica Sinica
- Publication Type :
- Academic Journal
- Accession number :
- 36896318
- Full Text :
- https://doi.org/10.1007/s10114-008-7005-7