Adaptive Sampling Recovery of Functions with Bounded Modulus of Smoothness
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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.
KeywordsAdaptive sampling recovery Quasi-interpolant representations Besov-type spaces
Mathematics Subject Classification (2010)41A46 41A05 41A25 42C40
This work is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant No. 102.01-2014.02.