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Estimates of Entropy Numbers and Gaussian Measures for Classes of Functions with Bounded Mixed Derivative

✍ Scribed by E.S. Belinsky

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 241 KB
Volume: 93
Category: Article
ISSN: 0021-9045
DOI: 10.1006/jath.1997.3157

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✦ Synopsis

The paper contains estimates for the entropy numbers of classes of functions with conditions on the mixed derivative (difference), in the uniform and integral metrics. As an application, the new estimates of the Gaussian measure of a small ball are obtained.