Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/65619
Type: Artigo de periódico
Title: Estimates of n-widths of Sobolev's classes on compact globally symmetric spaces of rank one
Author: Bordin, B
Kushpel, AK
Levesley, J
Tozoni, SA
Abstract: Estimates of Kolmogorov's and linear n-widths of Sobolev's classes on compact globally symmetric spaces of rank 1 (i.e. on S-d, P-d(R), P-d(C), P-d(H), P-16(Cay)) are established. It is shown that these estimates have sharp orders in different important cases. New estimates for the (p,q)-norms of multiplier operators Lambda = {lambda(k)}(kis an element ofN) are given. We apply our results to get sharp orders of best polynomial approximation and n-widths. (C) 2002 Elsevier Inc. All rights reserved.
Subject: n-width
two point homogeneous manifold
Sobolev space
Country: EUA
Editor: Academic Press Inc Elsevier Science
Rights: fechado
Identifier DOI: 10.1016/S0022-1236(02)00167-2
Date Issue: 2003
Appears in Collections:Unicamp - Artigos e Outros Documentos

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