An example related to Whitney extension with almost minimal \(C^m\) norm

DOI10.4171/RMI/571zbMath1180.65013OpenAlexW2000945333MaRDI QIDQ734609

Bo'az Klartag, Charles L. Fefferman

Publication date: 13 October 2009

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmi/1255440063

zbMATH Keywords

interpolationcounterexampleoptimal normWhitney extensionfiniteness principle

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (6)

The \(C^m\) norm of a function with prescribed jets. I. ⋮ A coordinate-free proof of the finiteness principle for Whitney's extension problem ⋮ Extension criteria for homogeneous Sobolev spaces of functions of one variable ⋮ Whitney’s extension problems and interpolation of data ⋮ The \(C^m\) norm of a function with prescribed jets. II ⋮ The norm of linear extension operators for \(C^{m-1,1}(\mathbb{R}^n)\)

Cites Work

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• Whitney's problem on extendability of functions and an intrinsic metric

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