Convergence of Hermite and Hermite-Fejer interpolation of higher order for Freud weights

被引：7
|
作者：
Damelin, SB
Jung, HS
Kwon, KH
机构：
[1] Georgia So Univ, Dept Math & Comp Sci, Statesboro, GA 30460 USA
[2] Korea Adv Inst Sci & Technol, Div Appl Math, Taejon 305701, South Korea
来源：
JOURNAL OF APPROXIMATION THEORY | 2001年 / 113卷 / 01期
关键词：
Freud weights; Hermite Fejer interpolation; Hermite interpolation; Krylov Stayermann interpolation; L-p convergence; Lagrange interpolation;
D O I：
10.1006/jath.2001.3619
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate weighted L-p(0 < p < infinity) convergence of Hermite and Hermite Fejer interpolation polynomials of higher order at the zeros of Freud orthogonal polynomials on the real line. Our results cover as special cases Lagrange, Hermite Fejer and Krylov Stayermann interpolation polynomials. (C) 2001 Academic Press.
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页码：21 / 58
页数：38
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