Adaptive Sampling Recovery of Functions with Bounded Modulus of Smoothness
Nguyen Manh Cuong
,
Mai Xuan Thao
Abstract
In this paper, we extend results obtained by Dinh Dũng on optimal methods of adaptive sampling recovery of functions by sets of a finite capacity which is measured by their cardinality or pseudo-dimension, to univariate Besov-type classes of functions with bounded modulus of smoothness.