Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774781 | Journal of Mathematical Analysis and Applications | 2017 | 15 Pages |
Abstract
Order estimates of the best m-term approximation for the Besov classes and the Sobolev classes with regard to the dictionary Ψ on the sphere are established, where Ψ consists of needlets which are highly localized radial polynomials on the sphere with centers at the nodes of a suitable cubature rule. Moreover, it is shown that for these classes the orders of the best m-term approximation can be achieved by simple greedy type algorithm.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Hongwei Huang, Heping Wang,