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.
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页码：432 / 439
页数：8
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