Abstract
We describe polynomials of best uniform approximation to sgn(x) on the union of two intervals [-A,-1] ⊂ [1, B] in terms of special conformal mappings. This permits us to find the exact asymptotic behavior of the error in this approximation.
| Original language | English |
|---|---|
| Pages (from-to) | 285-315 |
| Number of pages | 31 |
| Journal | Journal d'Analyse Mathematique |
| Volume | 114 |
| Issue number | 1 |
| DOIs | |
| State | Published - Sep 2011 |
| Externally published | Yes |
Bibliographical note
Funding Information:∗Supported by NSF grant DMS-0555279. †Supported by the Austrian Science Fund FWF, project no: P22025–N18.
Funding
∗Supported by NSF grant DMS-0555279. †Supported by the Austrian Science Fund FWF, project no: P22025–N18.
| Funders | Funder number |
|---|---|
| National Science Foundation | DMS-0555279 |
| Directorate for Mathematical and Physical Sciences | 0555279 |
| Austrian Science Fund | P22025–N18 |