Convergence of Hermite and Hermite-Fejer interpolation of higher order forFreud weights

Authors
Damelin, SB Jung, HS Kwon, KH
Citation
Sb. Damelin et al., Convergence of Hermite and Hermite-Fejer interpolation of higher order forFreud weights, J APPROX TH, 113(1), 2001, pp. 21-58
Citations number
27
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF APPROXIMATION THEORY
ISSN journal
00219045 → ACNP
Volume
113
Issue
1
Year of publication
2001
Pages
21 - 58
Database
ISI
SICI code
0021-9045(200111)113:1<21:COHAHI>2.0.ZU;2-0
Abstract
We investigate weighted L-p(0 < p < infinity) convergence of Hermite and He rmite Fejer interpolation polynomials of higher order at the zeros of Freud orthogonal polynomials on the real line. Our results cover as special case s Lagrange, Hermite Fejer and Krylov Stayermann interpolation polynomials. (C) 2001 Academic Press.