𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Asymptotics of Sobolev orthogonal polynomials for symmetrically coherent pairs of measures with compact support

✍ Scribed by Francisco Marcellán; Andrei Martínez-Finkelshtein; Juan J. Moreno-Balcázar

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
656 KB
Volume
81
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

✦ Synopsis

We study the strong asymptotics for the sequence of manic polynomials Q&c), orthogonal with respect to the inner product U-3 9)s = s f(xMx) h(x) + 1 s f'(x)s'(x> 44X), A> 0, with x outside of the support of the measure ~2. We assume that ~1 and ~2 are symmetric and compactly supported measures on lR satisfying a coherence condition. As a consequence, the asymptotic behaviour of (Q",Q")s and of the zeros of Qn is obtained.

📜 SIMILAR VOLUMES

Asymptotics of Sobolev Orthogonal Polyno
Asymptotics of Sobolev Orthogonal Polynomials for Coherent Pairs of Measures
✍ Andrei Martı́nez-Finkelshtein; Juan J Moreno-Balcázar; Teresa E Pérez; Miguel A 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 332 KB

Strong asymptotics for the sequence of monic polynomials Q n (z), orthogonal with respect to the inner product with z outside of the support of the measure + 2 , is established under the additional assumption that + 1 and + 2 form a so-called coherent pair with compact support. Moreover, the asympt

Asymptotics of Sobolev orthogonal polyno
Asymptotics of Sobolev orthogonal polynomials for coherent pairs of Jacobi type
✍ Henk G. Meijer; Miguel A. Piñar 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 105 KB

Let {Sn}n denote a sequence of polynomials orthogonal with respect to the Sobolev inner product where ¿ 0 and {d 0; d 1} is a so-called coherent pair with at least one of the measures d 0 or d 1 a Jacobi measure. We investigate the asymptotic behaviour of Sn(x), for n → +∞ and x ÿxed, x ∈ C \ [ -1;