Best m-Term Approximation and Sobolev–Besov Spaces of Dominating Mixed Smoothness—the Case of Compact Embeddings

摘要

We shall investigate the asymptotic behavior of the widths of best m-term approximation with respect to tensor products of Sobolev as well as Besov spaces in case of compact embeddings. Furthermore, we compare best m-term approximation with optimal linear approximation and entropy numbers.