Sequence spaces of spline functions on subsets and \(l^{\infty}\)-spaces.

DOI10.1016/J.JAT.2003.08.003zbMath1037.41007OpenAlexW2031112464MaRDI QIDQ1421500

Peter Wingren

Publication date: 26 January 2004

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2003.08.003

zbMATH Keywords

sequence spacesextension operatorZygmund spacelinear spline

Mathematics Subject Classification ID

Spline approximation (41A15) Sequences, series, summability (40-XX)

Cites Work

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• The trace of the Zygmund class \(\Lambda _ k(R)\) to closed sets and interpolating polynomials
• The trace to closed sets of functions in \(R^ n\) with second difference of order 0(h)
• The Whitney problem of existence of a linear extension operator
• Characterization of the Zygmund space by shifted \(B\)-splines

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