Bernstein-Szego's theorem for Sobolev orthogonal polynomials

Authors
Martinez-Finkelshtein, A
Citation
A. Martinez-finkelshtein, Bernstein-Szego's theorem for Sobolev orthogonal polynomials, CONSTR APPR, 16(1), 2000, pp. 73-84
Citations number
14
Categorie Soggetti
Mathematics
Journal title
CONSTRUCTIVE APPROXIMATION
ISSN journal
01764276 → ACNP
Volume
16
Issue
1
Year of publication
2000
Pages
73 - 84
Database
ISI
SICI code
0176-4276(2000)16:1<73:BTFSOP>2.0.ZU;2-M
Abstract
In this paper we obtain the strong asymptotics for the sequence of orthogon al polynomials with respect to the inner product (f, g)s = integral f(z)<(g(z))over bar>rho(0)(z) \dz\ + integral f'(z)<(g'( z))over bar>rho(1)(z) \dz\, where rho(0) and rho(1) are weights which satisfy Szego's condition, suppor ted on a smooth Jordan closed curve or are.