Title of article
Linear n-widths of diagonal matrices in the average and probabilistic settings ✩
Author/Authors
Xin-Feng Dai، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2012
Pages
17
From page
4103
To page
4119
Abstract
Exact values of the average linear n-widths with respect to the standard Gaussian measure on Rm are
determined for diagonal matrices, and are applied to deduce several new results on linear n-widths in the
average and probabilistic settings, including the sharp upper and lower estimates of the linear (n, δ)-widths
of diagonal matrices.
© 2012 Elsevier Inc. All rights reserved.
Keywords
p-Average linear n-widths , Probabilistic linear (n , ?)-widths , Gaussian measure , Diagonal matrices
Journal title
Journal of Functional Analysis
Serial Year
2012
Journal title
Journal of Functional Analysis
Record number
840732
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