Academic Journal
Relative asymptotic of multiple orthogonal polynomials for Nikishin systems
| العنوان: | Relative asymptotic of multiple orthogonal polynomials for Nikishin systems |
|---|---|
| المؤلفون: | López García, Abey, López Lagomasino, Guillermo |
| بيانات النشر: | Elsevier |
| سنة النشر: | 2009 |
| المجموعة: | Universidad Carlos III de Madrid: e-Archivo |
| مصطلحات موضوعية: | Multiple orthogonal polynomials, Nikishin systems, Relative asymptotic, Matemáticas |
| الوصف: | 28 pages, no figures.-- MSC2000 codes: Primary: 42C05, 41A20; Secondary: 30E10.-- Special Issue in memory of Professor George G. Lorentz (1910–2006). ; MR#: MR2519070 ; Zbl#: Zbl 1170.42011 ; We prove the relative asymptotic behavior for the ratio of two sequences of multiple orthogonal polynomials with respect to the Nikishin systems of measures. The first Nikishin system {\cal N}(\sigma_1,\dots,\sigma_m)$ is such that for each k, σ_k has a constant sign on its compact support supp$\,(\sigma_k)\subset \Bbb R$ consisting of an interval $\tilde\Delta_k$, on which $ sigma_k' 0$ almost everywhere, and a discrete set without accumulation points in $\Bbb R\setminus \tilde\Delta_k$. ; Both authors acknowledge support from grants MTM 2006-13000-C03-02 of Min. de Ciencia y Tecnología and CCG 06-UC3M/ESP-0690 of Universidad Carlos III de Madrid-Comunidad de Madrid. ; Publicado |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | application/pdf |
| اللغة: | English |
| تدمد: | 0021-9045 |
| Relation: | http://dx.doi.org/10.1016/j.jat.2008.09.002; Journal of Approximation Theory, 2009, vol. 158, n. 2, p. 214-241; http://hdl.handle.net/10016/6272 |
| DOI: | 10.1016/j.jat.2008.09.002 |
| الاتاحة: | http://hdl.handle.net/10016/6272 https://doi.org/10.1016/j.jat.2008.09.002 |
| Rights: | © Elsevier ; open access |
| رقم الانضمام: | edsbas.2C1C5F33 |
| قاعدة البيانات: | BASE |
Full Text Finder | تدمد: | 00219045 |
|---|---|
| DOI: | 10.1016/j.jat.2008.09.002 |