On the equality of Kolmogorov and relative widths of classes of differentiable functions

被引：2

作者：

Subbotin, Yu. N. ^{[1
]}

Telyakovskii, S. A. ^{[2
]}

机构：

[1] Russian Acad Sci, Ural Div, Inst Math & Mech, Moscow 117901, Russia

[2] Russian Acad Sci, VA Steklov Math Inst, Moscow 117901, Russia

来源：

MATHEMATICAL NOTES | 2009年 / 86卷 / 3-4期

基金：

俄罗斯基础研究基金会;

关键词：

Kolmogorov width; relative width of a class; differentiable function; 2 pi-periodic function; Banach space; Favard constant;

D O I：

10.1134/S0001434609090168

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain sharper estimates of the remainders in the expression for the least value of the multiplier M for which the Kolmogorov widths d (n) (W (C) (r) , C) and the relative widths K (n) (W (C) (r) ,MW (C) (j) ,C) of the class W (C) (r) with respect to the class MW (C) (j) , j < r, where r - j is odd, are equal.

引用

页码：432 / 439

页数：8

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