Smolyak's algorithm for weighted L1-approximation of multivariate functions with bounded rth mixed derivatives over ℝd-Reference-Cited by-同舟云学术

Smolyak's algorithm for weighted L1-approximation of multivariate functions with bounded rth mixed derivatives over ℝd

Published:2005-12 Issue:4 Volume:40 Page:401-414
ISSN:1017-1398
Container-title:Numerical Algorithms
language:en
Short-container-title:Numer Algor

Author:

Gajda Piotr

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11075-005-0411-3.pdf

Reference11 articles.

1. P. Gajda, Koksma-Hlawka type (in)equalities for multiple weighted integration over ℝd, submitted.

2. F.J. Hickernell, I.H. Sloan and G.W. Wasilkowski, A piecewise constant algorithm for weighted L1 approximation over bounded or unbounded regions in ℝs, submitted.

3. Y. Li and G.W. Wasilkowski, Worst case complexity of weighted approximation and integration over ℝd, J. Complexity 18 (2002) 330–345.

4. Lectures Notes in Mathematics;E. Novak,1988

5. A. Pinkus, n-Widths in Approximation Theory (Springer, Berlin, 1985).

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