On n-widths of a Sobolev function class in Orlicz spaces |
| |
Authors: | Xiao Li Wang Ga Ridi Wu |
| |
Affiliation: | 1. College of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Huhhot 010070, P. R. China;2. College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, P. R. China |
| |
Abstract: | This paper considers the problem of n-widths of a Sobolev function class Ω∞r determined by Pr(D) = Dσ∏j=1l(D2-tj2 I) in Orlicz spaces. The relationship between the extreme value problem and width theory is revealed by using the methods of functional analysis. Particularly, as σ = 0 or σ = 1, the exact values of Kolmogorov's widths, Gelfand's widths, and linear widths are obtained respectively, and the related extremal subspaces and optimal linear operators are given. |
| |
Keywords: | n-width extremal subspace optimal linear operator Orlicz space |
本文献已被 CNKI SpringerLink 等数据库收录! |
| 点击此处可从《数学学报(英文版)》浏览原始摘要信息 |
|
点击此处可从《数学学报(英文版)》下载免费的PDF全文 |