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Majorization of the Critical Points of a Polynomial by Its Zeros

✍ Scribed by Gerhard Schmeisser


Book ID
120888869
Publisher
Springer-Verlag
Year
2004
Tongue
English
Weight
154 KB
Volume
3
Category
Article
ISSN
1617-9447

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πŸ“œ SIMILAR VOLUMES


Zeros and Critical Points of Sobolev Ort
✍ W. Gautschi; A.B.J. Kuijlaars πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 340 KB

Using potential theoretic methods we study the asymptotic distribution of zeros and critical points of Sobolev orthogonal polynomials, i.e., polynomials orthogonal with respect to an inner product involving derivatives. Under general assumptions it is shown that the critical points have a canonical