Widths of classes from L2[0,2π] and minimization of exact constants in Jackson-type inequalities

被引：9

作者：

Esmaganbetov, MG ^{[1
]}

机构：

[1] EA Buketov Karaganda State Univ, Karaganda, Kazakhstan

来源：

MATHEMATICAL NOTES | 1999年 / 65卷 / 5-6期

关键词：

Kolmogorov N-width; linear width; projection width; Fourier series; Weyl derivative; Jackson-type inequality;

D O I：

10.1007/BF02675582

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The problem of minimizing the constant in Jackson-type inequalities with respect to all subspaces of dimension N, i.e., with respect to the entire set of approximating subspaces of dimension N,is solved. It is shown that the constant in question is equal to the value of different widths of class L-2(delta, r, beta, gamma, theta).

引用

页码：689 / 693

页数：5

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