On \(n\)-widths of a Sobolev function class in Orlicz spaces

DOI10.1007/s10114-015-4231-7zbMath1323.41025OpenAlexW2145056364MaRDI QIDQ748193

D. Kharzeev

Publication date: 20 October 2015

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

Full work available at URL: https://doi.org/10.1007/s10114-015-4231-7

zbMATH Keywords

Orlicz space\(n\)-widthextremal subspaceoptimal linear operator

Mathematics Subject Classification ID

Approximation by other special function classes (41A30) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Cites Work

• Sparse polynomial approximation in positive order Sobolev spaces with bounded mixed derivatives and applications to elliptic problems with random loading
• Approximation of functions of few variables in high dimensions
• Tensor products of Sobolev-Besov spaces and applications to approximation from the hyperbolic cross
• On \(n\)-widths for elliptic problems
• Kolmogorov width of classes of smooth functions on the sphere \(\mathbb S^{d-1}\)
• Complexity of approximation of functions of few variables in high dimensions
• SPECTRA OF NONLINEAR DIFFERENTIAL EQUATIONS AND WIDTHS OF SOBOLEV CLASSES
• n-Widths and Singularly Perturbed Boundary Value Problems
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