Publication
Manuscripta Mathematica
Paper

Optimal nonlinear approximation

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Abstract

We introduce a definition of nonlinear n-widths and then determine the n-widths of the unit ball of the Sobolev space Wpr in Lq. We prove that in the sense of these widths the manifold of splines of fixed degree with n free knots is optimal for approximating functions in these Sobolev spaces. © 1989 Springer-Verlag.

Date

01 Dec 1989

Publication

Manuscripta Mathematica

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