The Divergence of Lagrange Interpolation for |x|α at Equidistant Nodes-Reference-Cited by-同舟云学术

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The Divergence of Lagrange Interpolation for |x|α at Equidistant Nodes

Published:2000-04 Issue:2 Volume:103 Page:269-280
ISSN:0021-9045
Container-title:Journal of Approximation Theory
language:en
Short-container-title:Journal of Approximation Theory

Author:

Revers Michael

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics,Numerical Analysis,Analysis

Reference11 articles.

1. Handbook of Mathematical Functions;Abramowitz,1965

2. Quelques remarques sur l'interpolation;Bernstein;Math. Ann.,1918

3. Sur la limitation des valeurs d'un polynome Pn(x) de degré n sur tout un segment par ses valeurs en n+1 points du segment;Bernstein;Bull. Acad. Sci. USSR,1931

4. Numerical Analysis and Computation: Theory and Practice;Blum,1972

5. On the divergence of Lagrange interpolation to |x|;Brutman;J. Approx. Theory,1995

Cited by 11 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. Analyticity and supershift with irregular sampling;Complex Analysis and its Synergies;2024-04-01

2. Fractional Hermite interpolation for non-smooth functions;ETNA - Electronic Transactions on Numerical Analysis;2020

3. Interpolation Processes;Springer Monographs in Mathematics;2008

4. The exact convergence rate at zero of Lagrange interpolation polynomial to |x|α;Analysis in Theory and Applications;2006-09

5. The divergence of Lagrange interpolation for |x|α (2 < α < 4) at equidistant nodes;Analysis in Theory and Applications;2006-06

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