We study the asymptotic behavior of the sequence of polynomials orthogonal with respect to the discrete Sobolev inner product on the unit circle is a M\_M positive definite matrix or a positive semidefinite diagonal block matrix, M=l 1 + } } } +l m +m, d+ belongs to a certain class of measures, and
✦ LIBER ✦
Asymptotic behaviour of Sobolev orthogonal polynomials on the unit circle
✍ Scribed by Castillo, Kenier; Garza, Luis E.; Marcellán, Francisco
- Book ID
- 121327714
- Publisher
- Taylor and Francis Group
- Year
- 2013
- Tongue
- English
- Weight
- 235 KB
- Volume
- 24
- Category
- Article
- ISSN
- 1065-2469
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The aim of this paper is to study the polynomials orthogonal with respect to the following Sobolev inner product: where is the normalized Lebesgue measure and is a rational modiÿcation of . In this situation we analyse the algebraic results and the asymptotic behaviour of such orthogonal polynomial
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