| dc.contributor.author |
Fragoulopoulou, M |
en |
| dc.contributor.author |
Nestoridis, V |
en |
| dc.contributor.author |
Papadoperakis, I |
en |
| dc.date.accessioned |
2014-06-06T06:52:50Z |
|
| dc.date.available |
2014-06-06T06:52:50Z |
|
| dc.date.issued |
2013 |
en |
| dc.identifier.issn |
00246093 |
en |
| dc.identifier.uri |
http://dx.doi.org/10.1112/blms/bdt047 |
en |
| dc.identifier.uri |
http://62.217.125.90/xmlui/handle/123456789/6204 |
|
| dc.title |
Some results on spherical approximation |
en |
| heal.type |
journalArticle |
en |
| heal.identifier.primary |
10.1112/blms/bdt047 |
en |
| heal.publicationDate |
2013 |
en |
| heal.abstract |
We extend Mergelyan's theorem to the case of compact sets K ⊂ ℂ bounded by a finite number of disjoint Jordan curves, where the approximation is uniform with respect to the chordal metric χ and it is realized by rational functions with prescribed poles off K. Allowing poles in K°, as well, we obtain an analog result with the only assumption that Kc has a finite number of components. We also obtain a Runge's-type result and we introduce the notion of χ-Arakelian sets in ℂ. In this respect, we prove that the real line is such a set. © 2013 London Mathematical Society. |
en |
| heal.journalName |
Bulletin of the London Mathematical Society |
en |
| dc.identifier.issue |
6 |
en |
| dc.identifier.volume |
45 |
en |
| dc.identifier.doi |
10.1112/blms/bdt047 |
en |
| dc.identifier.spage |
1171 |
en |
| dc.identifier.epage |
1180 |
en |