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Difference between revisions of "Best approximation in the mean"

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The best approximation of a function <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/b/b015/b015900/b0159001.png" /> by functions <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/b/b015/b015900/b0159002.png" /> from a fixed set <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/b/b015/b015900/b0159003.png" /> when the measure (error) of approximation is expressed in terms of an integral metric (see [[Best approximation|Best approximation]]; [[Approximation in the mean|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|Best approximation]]; [[Approximation in the mean|Approximation in the mean]]).

Latest revision as of 19:24, 13 April 2014

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://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
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