# Best approximation in the mean

From Encyclopedia of Mathematics

The best approximation of a function $x$ by functions $u$ from a fixed set $F$ when the measure (error) of approximation is expressed in terms of an integral metric (see Best approximation; Approximation in the mean).

**How to Cite This Entry:**

Best approximation in the mean.

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=Best_approximation_in_the_mean&oldid=31677

This article was adapted from an original article by N.P. KorneichukV.P. Motornyi (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article