Necessary conditions for weighted mean convergence of Lagrange interpolation for exponential weights-Reference-Cited by-同舟云学术

Necessary conditions for weighted mean convergence of Lagrange interpolation for exponential weights

Published:2001-07 Issue:2 Volume:132 Page:357-369
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

Damelin S.B.,Jung H.S.,Kwon K.H.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference27 articles.

1. S. Bonan, Weighted mean convergence of Lagrange interpolation, Ph.D. thesis, Ohio-State University, Columbus, OH, 1982.

2. The weighted Lebesgue constant of Lagrange interpolation for exponential weights on [−1,1];Damelin;Acta-Math. (Hung.),1998

3. The Lebesgue function and Lebesgue constant of Lagrange interpolation for Erdős weights;Damelin;J. Approx. Theory,1998

4. S.B. Damelin, H.S. Jung, K.H. Kwon, Converse Marcinkiewicz–Zygmund inequalities on the real line with applications to mean convergence of Lagrange interpolation, postscript.

5. S.B. Damelin, H.S. Jung, K. Kwon, A note on mean convergence of Lagrange interpolation for Erdős weights in Lp(0

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Necessary conditions of convergence of Hermite–Fejér interpolation polynomials for exponential weights;Journal of Approximation Theory;2005-09

2. Marcinkiewicz–Zygmund inequalities and the numerical approximation of singular integrals for exponential weights: methods, results and open problems, some new, some old;Journal of Complexity;2003-06

3. Mean convergence of extended Lagrange interpolation for exponential weights;Acta Applicandae Mathematicae;2003

4. On mean convergence of Hermite–Fejér and Hermite interpolation for Erdős weights;Journal of Computational and Applied Mathematics;2001-12