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Nonlinear approximation of function spaces of mixed smoothness

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Publication:901902
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DOI10.1134/S0037446615020068zbMath1334.41038MaRDI QIDQ901902

N. E. Zubov

Publication date: 6 January 2016

Published in: Siberian Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

greedy algorithmNikol'skiĭ-Besov spacesbest \(m\)-term approximationmixed smoothnessperiodic wavelet


Mathematics Subject Classification ID

Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)


Related Items (1)

Nonlinear wavelet approximation of periodic function classes with generalized mixed smoothness




Cites Work

  • Nonlinear approximations of classes of periodic functions of many variables
  • Spaces of functions of mixed smoothness from the decomposition point of view
  • Nonlinear methods of approximation
  • Greedy algorithms with regard to multivariate systems with special structure
  • Continuous algorithms in \(n\)-term approximation and nonlinear widths
  • Greedy approximation
  • On unconditional polynomial bases in \(L_ p\) and Bergman spaces
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