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Adaptive Sampling Recovery of Functions with Bounded Modulus of Smoothness

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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.

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Acknowledgments

This work is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant No. 102.01-2014.02.

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Authors and Affiliations

  1. Department of Natural Sciences, Hong Duc University, 307 Le Lai, Thanh Hoa, Vietnam

    Nguyen Manh Cuong & Mai Xuan Thao

Authors
  1. Nguyen Manh Cuong
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  2. Mai Xuan Thao
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Correspondence to Nguyen Manh Cuong.

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Cuong, N.M., Thao, M.X. Adaptive Sampling Recovery of Functions with Bounded Modulus of Smoothness. Acta Math Vietnam 42, 113–127 (2017). https://doi.org/10.1007/s40306-016-0175-y

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  • DOI: https://doi.org/10.1007/s40306-016-0175-y

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