Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4607408 | Journal of Approximation Theory | 2011 | 19 Pages |
Abstract
This work is a continuation of the recent study by the authors on approximation theory over the sphere and the ball. The main results define new Sobolev spaces on these domains and study polynomial approximations for functions in these spaces, including simultaneous approximation by polynomials and the relation between the best approximation of a function and its derivatives.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Feng Dai, Yuan Xu,