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The average widths of Sobolev-Wiener classes and Besov-Wiener classes

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Publication:1888704
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DOI10.1007/S10114-003-0247-5zbMath1121.41029OpenAlexW2384488035MaRDI QIDQ1888704

Yong-ping Liu, Gui Qiao Xu

Publication date: 26 November 2004

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

Full work available at URL: https://doi.org/10.1007/s10114-003-0247-5



Mathematics Subject Classification ID

Summability and bases in topological vector spaces (46A35) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)





Cites Work

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  • Average widths of Sobolev classes on \(\mathbb{R}^ n\)
  • Average widths of anisotropic Besov-Wiener classes.
  • Widths and average widths of Sobolev classes
  • 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}
  • Bernstein width of a class of functions of finite smoothness




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