Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4640538 | Journal of Computational and Applied Mathematics | 2010 | 12 Pages |
Abstract
We consider the Sobolev inner product 〈f,g〉=∫−11f(x)g(x)(1−x2)α−12dx+∫f′(x)g′(x)dψ(x),α>−12, where dψ is a measure involving a Gegenbauer weight and with mass points outside the interval (−1,1)(−1,1). We study the asymptotic behaviour of the polynomials which are orthogonal with respect to this inner product. We obtain the asymptotics of the largest zeros of these polynomials via a Mehler–Heine type formula. These results are illustrated with some numerical experiments.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Cleonice F. Bracciali, Laura Castaño-García, Juan J. Moreno-Balcázar,