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A Sharper Form of the Inequality for the Concentration Function

โœ Scribed by Postnikova, L. P.; Yudin, A. A.

Book ID
118226736
Publisher
Society for Industrial and Applied Mathematics
Year
1979
Tongue
English
Weight
256 KB
Volume
23
Category
Article
ISSN
0040-585X

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Let g be a smooth function on R n with values in [0, 1]. Using the isoperimetric property of the Gaussian measure, it is proved that ,(8 &1 (Eg))&E,(8 &1 ( g)) E |{g|. Conversely, this inequality implies the isoperimetric property of the Gaussian measure.