Relative average widths of Sobolev spaces in \(L_2({\mathbb R}^d)\)

DOI10.1007/s10476-008-0107-8zbMath1164.41020OpenAlexW1609538MaRDI QIDQ949891

Weiwei Xiao, Yong-ping Liu

Publication date: 21 October 2008

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

Full work available at URL: https://doi.org/10.1007/s10476-008-0107-8

zbMATH Keywords

Sobolev spacesaverage widthsrelative average widths

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 (2)

Relative widths of the function classes \(L_2(T)\) defined by a linear differential operator in \(L_q(T)\) ⋮ THE RESEARCH PROGRESS OF BNU GROUP ON RELATIVE WIDTHS

Cites Work

• Average widths of Sobolev classes on \(\mathbb{R}^ n\)
• Approximation of Sobolev classes by their finite-dimensional sections
• Exact values of relative widths of classes of differentiable functions
• DIAMETERS OF SETS IN FUNCTION SPACES AND THE THEORY OF BEST APPROXIMATIONS
• Relative widths of classes of differentiable functions in theL²metric
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