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Approximation of Sobolev classes of functions by sums of products of functions of a lesser number of variables and quasidiameters. (Russian. English summary) Zbl 0604.41030

This article is devoted to the approximation of the Sobolev class of functions by some variety representing the sum of products of functions of lesser number of variables. Two further types of quasi-widths are introduced and estimated: Kolmogorov and Alexandrov ones.

MSC:

41A46 Approximation by arbitrary nonlinear expressions; widths and entropy
41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
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