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Extension inside the disk of asymptotics for Sobolev orthogonal polynomials

✍ Scribed by E. Berriochoa; A. Cachafeiro


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
513 KB
Volume
46
Category
Article
ISSN
0898-1221

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πŸ“œ SIMILAR VOLUMES


Strong asymptotics inside the unit disk
✍ E. Berriochoa; A. Cachafeiro πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 412 KB

In the present paper, we give sufficient conditions in order to establish the extension of the strong asymptotics up to the boundary and inside the unit disk for Sobolev orthogonal polynomials. We consider the following Sobolev inner product on the unit circle: with tt0 a finite positive Borel mea

Asymptotics of Sobolev Orthogonal Polyno
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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
✍ Henk G. Meijer; Miguel A. PiΓ±ar πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 105 KB

Let {Sn}n denote a sequence of polynomials orthogonal with respect to the Sobolev inner product where ΒΏ 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 β†’ +∞ and x ΓΏxed, x ∈ C \ [ -1;

Zeros and logarithmic asymptotics of Sob
✍ C. DΓ­az Mendoza; R. Orive; H. Pijeira Cabrera πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 502 KB

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 Ξ³ e -Ο•(x) , with Ξ³ > 0, which include as particular cases the counterparts of the so-called Freud (i.e., when Ο• has a polyn