KOLMOGOROV WIDTHS OF CLASSES OF PERIODIC FUNCTIONS OF ONE AND SEVERAL VARIABLES

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.