Optimal adaptive sampling recovery
The author proposes an approach to study optimal methods of adaptive sampling recovery of functions by sets of a finite capacity which is measured by their cardinality or pseudo-dimension. To construct asymptotically optimal adaptive sampling recovery methods for \(e_n(U^\alpha_{p,\theta})_q\) and \(r_n(U^\alpha_{p,\theta})_q\) the author uses a quasi-interpolant wavelet representation of functions in Besov spaces associated with some equivalent discrete quasi-norm.
quasi-interpolant wavelet representation
scientific article; zbMATH DE number 5837777