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Acta Mathematica Vietnamica

Adaptive Sampling Recovery of Functions with Bounded Modulus of Smoothness

icon-email 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.