Relative infinite-dimensional width of Sobolev classes

DOI10.1016/j.jmaa.2010.03.050zbMath1205.46018OpenAlexW2041408339MaRDI QIDQ984708

Weiwei Xiao

Publication date: 20 July 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.03.050

zbMATH Keywords

Sobolev classes\(n-K\) widthinfinite-dimensional widthrelative infinite-dimensional widthrelative 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 (2)

Relative widths of the function classes \(L_2(T)\) defined by a linear differential operator in \(L_q(T)\) ⋮ New recursive representations for the Favard constants with application to multiple singular integrals and summation of series

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The relative \(n\)-widths of Sobolev classes with restrictions
• Infinite-dimensional widths in the spaces of function. I
• Infinite-dimensional widths in the spaces of functions. II
• Approximation of Sobolev classes by their finite-dimensional sections
• Exact values of relative widths of classes of differentiable functions
• Relative width of smooth classes of multivariate periodic functions with restrictions on iterated Laplace derivatives in the \(L_2\)-metric
• Relative widths of smooth functions determined by fractional order derivatives
• MEAN DIMENSION, WIDTHS, AND OPTIMAL RECOVERY OF SOBOLEV CLASSES OF FUNCTIONS ON THE LINE
• Optimal recovery forW 2 r (ℝ) inL 2 (ℝ)
• ϕ-mean diameters of classes of functions on the line

This page was built for publication: Relative infinite-dimensional width of Sobolev classes