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The average widths and non-linear widths of the classes of multivariate functions with bounded moduli of smoothness.

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Publication:1566063
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DOI10.1007/s102550200069zbMath1038.41009OpenAlexW2068252276MaRDI QIDQ1566063

Yong-ping Liu, Gui Qiao Xu

Publication date: 25 September 2003

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s102550200069



Mathematics Subject Classification ID

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




Cites Work

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  • Average widths of Sobolev classes on \(\mathbb{R}^ n\)
  • Representation and approximation of periodic functions of several variables with given mixed modulus of continuity
  • Widths and average widths of Sobolev classes
  • Wavelet compression and nonlinear \(n\)-widths
  • Average \(\sigma - K\) width of class of \(L_ p(\mathbf R^ n)\) in \(L_ q(\mathbf R^ n)\)
  • Amalgams of ๐ฟ^{๐‘} and ๐‘™^{๐‘ž}
  • On nonlinear ๐‘›-widths


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