Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4607429 | Journal of Approximation Theory | 2013 | 26 Pages |
Abstract
We study the asymptotic behaviour of the approximation, Gelfand and Kolmogorov numbers of the compact embeddings of weighted function spaces of Besov and Triebel-Lizorkin type in the case where the weights belong to a large class. We obtain the exact estimates in almost all nonlimiting situations where the quasi-Banach setting is included. At the end we present complete results on related widths for polynomial weights with small perturbations, in particular the sharp estimates in the case α=d(1p2â1p1)>0 therein.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Shun Zhang, Gensun Fang,