Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4628563 | Applied Mathematics and Computation | 2013 | 9 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Kenier Castillo, Lino G. Garza, Francisco Marcellán,