Degree of adaptive approximation-Reference-Cited by-同舟云学术

Degree of adaptive approximation

Published:1990 Issue:192 Volume:55 Page:625-635
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

DeVore Ronald A.,Yu Xiang Ming

Abstract

We obtain various estimates for the error in adaptive approximation and also establish a relationship between adaptive approximation and free-knot spline approximation.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1990-55-192/S0025-5718-1990-1035930-5/S0025-5718-1990-1035930-5.pdf

Reference11 articles.

1. Good approximation by splines with variable knots;de Boor, Carl,1973

2. An adaptive algorithm for multivariate approximation giving optimal convergence rates;de Boor, Carl;J. Approx. Theory,1979

3. M. Š. Birman and M. Z. Solomjak, Piecewise polynomial approximation of functions of the class 𝑊_{𝑝}^{𝛼}, Math. USSR-Sb. 2 (1967), 295-317.

4. Piecewise polynomial approximation on optimal meshes;Burchard, H. G.;J. Approximation Theory,1975

5. A note on adaptive approximation;DeVore, R. A.;Approx. Theory Appl.,1987

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