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THE EXACT CONVERGENCE RATE AT ZERO OF LAGRANGE INTERPOLATION POLYNOMIAL TO |x|^α
作者姓名:Zhikang  Lu  Xifang  Ge
作者单位:[1]Hangzhou Teacher's College, China [2]Zhejiang Tongji Professional College of Science and Technology, China
摘    要:In this paper we present a generalized quantitative version of a result the exact convergence rate at zero of Lagrange interpolation polynomial to spaced nodes in -1,1] due to M.Revers concerning f(x) = |x|α with on equally

关 键 词:拉格朗日插值  等距结点  收敛  多项式
收稿时间:2005-10-20

The exact convergence rate at zero of Lagrange interpolation polynomial to |x|α
Zhikang Lu Xifang Ge.The exact convergence rate at zero of Lagrange interpolation polynomial to |x|α[J].Analysis in Theory and Applications,2006,22(3):201-207.
Authors:Zhikang Lu  Xifang Ge
Institution:(1) Department of Math, Hangzhou Teacher’s College, Hangzhou, 310012, P. R. China;(2) Basic Department, ZheJiang Tongji Professional College of Science And Technology, Hangzhou, 311231, P. R. China
Abstract:In this paper we present a generalized quantitative version of a result due to M.Revers concerning the exact convergence rate at zero of Lagrange interpolation polynomial to f(x) = |x|α with on equally spaced nodes in −1, 1].
Keywords:Lagrange interpolation  equidistant nodes  convergence
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