𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Zero Location and nth Root Asymptotics of Sobolev Orthogonal Polynomials

✍ Scribed by G López Lagomasino; H Pijeira Cabrera


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
340 KB
Volume
99
Category
Article
ISSN
0021-9045

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Zeros and Critical Points of Sobolev Ort
✍ W. Gautschi; A.B.J. Kuijlaars 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 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

Orthogonal Expansion of Real Polynomials
✍ G. Schmeisser 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 182 KB

Let f (z)=a 0 , 0 (z)+a 1 , 1 (z)+ } } } +a n , n (z) be a polynomial of degree n, given as an orthogonal expansion with real coefficients. We study the location of the zeros of f relative to an interval and in terms of some of the coefficients. Our main theorem generalizes or refines results due to