Mean Convergence Rate of Derivatives by Lagrange Interpolation on Chebyshev Grids

We consider the rate of mean convergence of derivatives by Lagrange interpolation operators based on the Chebyshev nodes. Some estimates of error of the derivatives approximation in terms of the error of best approximation by polynomials are derived. Our results are sharp.

Bibliographic Details
Main Authors: Wang Xiulian, Ning Jingrui
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2011/503561