Abstract
The order of Kolmogorov widths are determined for the class that is the intersection of classes of periodic functions of one variable of higher smoothness, in the space for , and estimates from above for low smoothness, and also the order of Kolmogorov widths is calculated for periodic functions of several variables in the space for . The estimate from below for reduces to the estimate from below of the width of a finite-dimensional set whose width is determined. Bibliography: 28 titles.
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