Shape-preserving widths of weighted Sobolev-type classes of positive, monotone, and convex functions on a finite interval

DOI10.1007/s00365-001-0027-3zbMath1029.41013OpenAlexW1504969474MaRDI QIDQ1864178

V. N. Konovalov, Dany Leviatan

Publication date: 17 March 2003

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-001-0027-3

zbMATH Keywords

Kolmogorov widthslinear widthsshape-preserving widthsweighted Sobolev-type classes

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 (4)

Relative widths of smooth functions determined by fractional order derivatives ⋮ Linear relative \(n\)-widths for linear operators preserving an intersection of cones ⋮ Widths and shape-preserving widths of Sobolev-type classes of \(s\)-monotone functions ⋮ Shape preserving widths of Sobolev-type classes of \(s\)-monotone functions on a finite interval.

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