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Physical Sciences and Engineering Mathematics Analysis

On the widths of Sobolev classes

Article ID Journal Published Year Pages File Type
4608890 Journal of Complexity 2011 20 Pages PDF
Abstract

Optimal estimates of Kolmogorov’s nn-widths, linear nn-widths and Gelfand’s nn-widths of the weighted Sobolev classes on the unit sphere SdSd are established. Similar results are also established on the unit ball BdBd and on the simplex TdTd.

Keywords
BallSimplexWidthsSphere
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
On the widths of Sobolev classes
Authors
Hongwei Huang, Kunyang Wang,
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