Publication
Numerische Mathematik
Paper

The optimal recovery of smooth functions

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Abstract

It is shown that there is a positive lower bound, c, to the uniform error in any scheme designed to recover all functions of a certain smoothness from their values at a fixed finite set of points. This lower bound is essentially attained by interpolation at the points by splines with canonical knots. Estimates of c are also given. © 1976 Springer-Verlag.

Date

01 Jun 1976

Publication

Numerische Mathematik

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