Weighted Approximation of functions on the unit sphere
| dc.creator | Xu, Yuan | |
| dc.date | 2003-12-31 | |
| dc.date.accessioned | 2026-07-07T05:04:18Z | |
| dc.date.available | 2026-07-07T05:04:18Z | |
| dc.description | The direct and inverse theorems are established for the best approximation in the weighted $L^p$ space on the unit sphere of $\RR^{d+1}$, in which the weight functions are invariant under finite reflection groups. The theorems are stated using a modulus of smoothness of higher order, which is proved to be equivalent to a $K$-functional defined using the power of the spherical $h$-Laplacian. Furthermore, similar results are also established for weighted approximation on the unit ball and on the simplex of $\RR^d$. | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/math/0312525 | |
| dc.identifier | http://arxiv.org/abs/math/0312525 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69755 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | Weighted Approximation of functions on the unit sphere | |
| dc.type | text |