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Estimates of entropy numbers and Gaussian measures for classes of functions with bounded mixed derivative. (English) Zbl 0904.41016

The author gives estimates from above and below for the entropy numbers of classes of functions with conditions on the mixed derivative (difference), in the uniform and integral metrics. As an application, he also presents new estimates of the Gaussian measure of a small ball.

MSC:

41A46 Approximation by arbitrary nonlinear expressions; widths and entropy
42A10 Trigonometric approximation
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