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On Critical Values of Polynomials with Real Critical Points

โœ Scribed by Aimo Hinkkanen; Ilgiz Kayumov


Publisher
Springer
Year
2009
Tongue
English
Weight
255 KB
Volume
32
Category
Article
ISSN
0176-4276

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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