Global properties of zeros for Sobolev-type orthogonal polynomials
✍ Scribed by Teresa E. Pérez; Miguel A. Piñar
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 486 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0377-0427
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📜 SIMILAR VOLUMES
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
We obtain the (contracted) weak zero asymptotics for orthogonal polynomials with respect to Sobolev inner products with exponential weights in the real semiaxis, of the form x γ e -ϕ(x) , with γ > 0, which include as particular cases the counterparts of the so-called Freud (i.e., when ϕ has a polyn