Widths and best approximations for classes of convolutions of periodic functions

被引：0

作者：

Serdyuk A.S. ^{[1
]}

机构：

[1] Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

来源：

Ukrainian Mathematical Journal | 1999年 / 51卷 / 5期

关键词：

Fourier Series; Periodic Function; Fourier Coefficient; Trigonometric Polynomial; Ukrainian Academy;

D O I：

10.1007/BF02591709

中图分类号：

学科分类号：

摘要：

We establish exact lower bounds for the Kolmogorov widths in the metrics of C and L for classes of functions with high smoothness; the elements of these classes are sourcewise-representable as convolutions with generating kernels that can increase oscillations. We calculate the exact values of the best approximations of such classes by trigonometric polynomials. © 2000 Kluwer Academic/Plenum Publishers.

引用

页码：748 / 763

页数：15

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