On Sobolev orthogonal polynomials with coherent pairs The Jacobi case
β Scribed by K. Pan
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 468 KB
- Volume
- 79
- Category
- Article
- ISSN
- 0377-0427
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π SIMILAR VOLUMES
Let {Sn}n denote a sequence of polynomials orthogonal with respect to the Sobolev inner product where ΒΏ 0 and {d 0; d 1} is a so-called coherent pair with at least one of the measures d 0 or d 1 a Jacobi measure. We investigate the asymptotic behaviour of Sn(x), for n β +β and x ΓΏxed, x β C \ [ -1;
We study the strong asymptotics for the sequence of manic polynomials Q&c), orthogonal with respect to the inner product U-3 9)s = s f(xMx) h(x) + 1 s f'(x)s'(x> 44X), A> 0, with x outside of the support of the measure ~2. We assume that ~1 and ~2 are symmetric and compactly supported measures on lR