Resumen
In this paper, we show how to compute in O(n2) steps the Fourier coefficients associated with the Gelfand-Levitan approach for discrete Sobolev orthogonal polynomials on the unit circle when the support of the discrete component involving derivatives is located outside the closed unit disk. As a consequence, we deduce the outer relative asymptotics of these polynomials in terms of those associated with the original orthogonality measure. Moreover, we show how to recover the discrete part of our Sobolev inner product. © 2013 Elsevier Inc. All rights reserved.
| Idioma original | English |
|---|---|
| Páginas (desde-hasta) | 452-460 |
| Número de páginas | 9 |
| Publicación | Applied Mathematics and Computation |
| DOI | |
| Estado | Published - 17 sep 2013 |
| Publicado de forma externa | Sí |
All Science Journal Classification (ASJC) codes
- Computational Mathematics
- Applied Mathematics
Huella Profundice en los temas de investigación de 'On computational aspects of discrete Sobolev inner products on the unit circle'. En conjunto forman una huella única.
Citar esto
Castillo, K., Garza, L. G., & Marcellán, F. (2013). On computational aspects of discrete Sobolev inner products on the unit circle. Applied Mathematics and Computation, 452-460. https://doi.org/10.1016/j.amc.2013.08.030