Bernstein \(n\)-widths for classes of convolution functions with kernels satisfying certain oscillation properties

DOI10.1007/s10114-008-7308-8zbMath1177.41024OpenAlexW1981772298MaRDI QIDQ1034264

Guo Feng, Gen Sun Fang

Publication date: 11 November 2009

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

Full work available at URL: https://doi.org/10.1007/s10114-008-7308-8

zbMATH Keywords

exact constantsoscillation propertiesspectral of nonlinear integral equations

Mathematics Subject Classification ID

Spline approximation (41A15) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (2)

Bernstein numbers of embeddings of isotropic and dominating mixed Besov spaces ⋮ Bernstein \(n\)-width of Besov embeddings on Lipschitz domains

Cites Work

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• Optimal quadrature problem on classes defined by kernels satisfying certain oscillation properties
• n-widths of Sobolev spaces in \(L^ p\)
• Exact and asymptotic estimates for \(n\)-widths of some classes of periodic functions
• Exact values of Bernstein widths of Sobolev classes of periodic functions
• The Iyengar type inequalities with exact estimations and the Chebyshev central algorithms of integrals
• Non-linear approximation of functions with mixed smoothness by sets of finite pseudo-dimension
• SPECTRA OF NONLINEAR DIFFERENTIAL EQUATIONS AND WIDTHS OF SOBOLEV CLASSES
• MEAN DIMENSION, WIDTHS, AND OPTIMAL RECOVERY OF SOBOLEV CLASSES OF FUNCTIONS ON THE LINE

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