Best approximation in the mean

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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).

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Best approximation in the mean. Encyclopedia of Mathematics. URL:
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