Szczegóły publikacji
Opis bibliograficzny
On the [varkappa]th root of a Stieltjes moment sequence / Jan Stochel, Jerzy Bartłomiej STOCHEL // Journal of Mathematical Analysis and Applications ; ISSN 0022-247X. — 2012 — vol. 396 iss. 2, s. 786–800. — Bibliogr. s. 800, Abstr. — Publikacja dostępna online od: 2012-07-13
Autorzy (2)
- Stochel Jan
- AGHStochel Jerzy Bartłomiej
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 68064 |
|---|---|
| Data dodania do BaDAP | 2012-09-28 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.jmaa.2012.07.012 |
| Rok publikacji | 2012 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Journal of Mathematical Analysis and Applications |
Abstract
Stieltjes moment sequences {an}n=0∞ whose κ{script}th roots {anκ{script}}n=0∞ are Stieltjes moment sequences are studied (κ{script} is a fixed integer greater than or equal to 2). A formula connecting the closed supports of representing measures of {an}n=0∞ and {anκ{script}}n=0∞ is established. The relationship between the holes of the supports of these measures is investigated. The set of all pairs (M, N) of positive integers for which there exists a Stieltjes moment sequence whose square root is a Stieltjes moment sequence and both of them have representing measures supported on subsets of (0, ∞) of cardinality M and N, respectively, is described.