Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4607985 | Journal of Approximation Theory | 2009 | 13 Pages |
Abstract
We consider relative widths characterizing the best approximation of a fixed set by its sections of given dimension. For Sobolev classes Wp1 on [0,1][0,1] with restriction f(0)=0f(0)=0, we determine the exact orders of such widths in the spaces LqLq for 1≤q≤p≤∞1≤q≤p≤∞. We also obtain the exact values of the corresponding relative widths for p=q=1,1≤q≤p=2p=q=1,1≤q≤p=2 and p=q=∞p=q=∞.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Guiqiao Xu,