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Bernstein-szegö-lebesgue sobolev orthogonal polynomials on the unit circle

✍ Scribed by Berriochoa, E.; Cachafeiro, A.


Book ID
126757925
Publisher
Taylor and Francis Group
Year
2000
Tongue
English
Weight
491 KB
Volume
6
Category
Article
ISSN
1023-6198

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📜 SIMILAR VOLUMES


Lebesgue Sobolev orthogonality on the un
✍ E. Berriochoa; A. Cachafeiro 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 294 KB

This paper is devoted to the study of asymptotic properties of the orthogonal polynomials with respect to a Sobolev inner product 2n P /'2n ('(z),y(z))s= fo '(eiO)~d/~(0)+ ~2' J0 f(k'(eiO)~2~' z= ei°' with d/~(0) a finite positive Borel measure on [0,2n] with an infinite set as support verifying the

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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

Asymptotic Behavior of Sobolev-Type Orth
✍ Ana Foulquié Moreno; Francisco Marcellán; K. Pan 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 184 KB

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