Estimates of the Kolmogorov widths for classes of infinitely differentiable periodic functions

被引：0

作者：

A. S. Serdyuk

机构：

来源：

Ukrainian Mathematical Journal | 1997年 / 49卷 / 12期

关键词：

Fourier Series; Periodic Function; Lower Estimate; Trigonometric Polynomial; Ukrainian Academy;

D O I：

10.1007/BF02513071

中图分类号：

学科分类号：

摘要：

Lower estimates of the Kolmogorov widths are obtained for certain classes of infinitely differentiable periodic functions in the metrics of C and L. For many important cases, these estimates coincide with the values of the best approximations of convolution classes by trigonometric polynomials calculated by Nagy, and, hence, they are exact.

引用

页码：1919 / 1926

页数：7

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