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On the Strong Asymptotics for Sobolev Orthogonal Polynomials on the Circle

โœ Scribed by Berriochoa; Cachafeiro

Publisher
Springer
Year
2003
Tongue
English
Weight
86 KB
Volume
19
Category
Article
ISSN
0176-4276

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๐Ÿ“œ SIMILAR VOLUMES

Strong asymptotics inside the unit disk
Strong asymptotics inside the unit disk for Sobolev orthogonal polynomials
โœ E. Berriochoa; A. Cachafeiro ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 412 KB

In the present paper, we give sufficient conditions in order to establish the extension of the strong asymptotics up to the boundary and inside the unit disk for Sobolev orthogonal polynomials. We consider the following Sobolev inner product on the unit circle: with tt0 a finite positive Borel mea

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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