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

DOI10.1007/s10114-005-0692-4zbMath1115.41024OpenAlexW1964885411MaRDI QIDQ882726

Yong Sheng Sun, Gui Qiao Xu, Yong-ping Liu

Publication date: 24 May 2007

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

Full work available at URL: https://doi.org/10.1007/s10114-005-0692-4

zbMATH Keywords

Sobolev spaceBesov classaverage width\(n\)-width

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (1)

Approximation of anisotropic classes by standard information

Cites Work

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• Cardinal interpolation and spline functions. II: Interpolation of data of power growth
• Average width and optimal recovery of the anisotropic classes \(W^{r}H^{\alpha}({\mathbb R}^{d})\) in the metric \(C^{k}({\mathbb R}^{d})\)
• Infinite-dimensional widths in the spaces of functions. II
• Representation and approximation of periodic functions of several variables with given mixed modulus of continuity
• The infinite-dimensional widths and optimal recovery of generalized Besov classes
• On Kolmogorov widths of classesB p,? r of periodic functions of many variables with low smoothness in the spacel q

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