𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Zeros of Sobolev orthogonal polynomials on the unit circle

✍ Scribed by K. Castillo, L. E. Garza, F. Marcellán

Book ID
113077379
Publisher
Springer US
Year
2012
Tongue
English
Weight
364 KB
Volume
60
Category
Article
ISSN
1017-1398

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

A family of Sobolev orthogonal polynomia
A family of Sobolev orthogonal polynomials on the unit circle
✍ E. Berriochoa; A. Cachafeiro 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 108 KB

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
Asymptotic Behavior of Sobolev-Type Orthogonal Polynomials on the Unit Circle
✍ 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