Average widths and optimal recovery of multivariate Besov classes in \(L_p (\mathbb{R}^d)\)
The authors obtain some weak asymptotic results for the average Kolmogorov \(\sigma\)-width and the average linear \(\sigma\)-width of isotropic and anisotropic Besov classes in \(L_p(\mathbb{R}^d)\). For isotropic Besov classes they also investigate the asymptotic behaviour of the optimal recovery.
scientific article; zbMATH DE number 1417556