Average width and optimal recovery of the anisotropic classes \(W^{r}H^{\alpha}({\mathbb R}^{d})\) in the metric \(C^{k}({\mathbb R}^{d})\)

DOI10.1007/BF02771087zbMath0941.41012OpenAlexW2412297711MaRDI QIDQ1125591

Junbo Luo, Yong-ping Liu

Publication date: 8 December 1999

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02771087

zbMATH Keywords

average widthoptimal recovery

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Banach spaces of continuous, differentiable or analytic functions (46E15) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (1)

\(N\)-widths and average widths of Besov classes in Sobolev spaces

Cites Work

• Average widths of Sobolev classes on \(\mathbb{R}^ n\)
• Average \(\sigma - K\) width of class of \(L_ p(\mathbf R^ n)\) in \(L_ q(\mathbf R^ n)\)
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