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Lagrange插值逼近导数的平均收敛
引用本文:杜英芳,许贵桥.Lagrange插值逼近导数的平均收敛[J].高等学校计算数学学报,2010,32(1).
作者姓名:杜英芳  许贵桥
作者单位:天津师范大学化学与生命科学学院,天津,300387
基金项目:support by National Natural Science Foundation of China(10471010); Education Science Foundation of Tianjin Normal University(52LJ80)
摘    要:<正>We consider the rate of mean convergence of derivatives by Lagrange interpolation operators L_n(f,x) based on the zeros of Chebyshev polynomials of the first kind.A sharp estimate of the derivative of L_n(f,x)—f(x) in terms of the error of best approximation by polynomials of degree n is derived.

关 键 词:平均收敛  艺人  插值逼近  导数  

MEAN CONVERGENCE OF DERIVATIVES BY LAGRANGE INTERPOLATION
Du Yingfang Xu Guiqiao.MEAN CONVERGENCE OF DERIVATIVES BY LAGRANGE INTERPOLATION[J].Numerical Mathematics A Journal of Chinese Universities,2010,32(1).
Authors:Du Yingfang Xu Guiqiao
Institution:Du Yingfang Xu Guiqiao (College of Chemistry and Life Science,Tianjin Normal University,Tianjin 300387)
Abstract:We consider the rate of mean convergence of derivatives by Lagrange interpolation operators Ln(f, x) based on the zeros of Chebyshev polynomials of the first kind. A sharp estimate of the derivative of Ln(f, x) - f(x) in terms of the error of best approximation by polynomials of degree n is derived.
Keywords:Lagrange interpolation  derivative  mean convergence  best approximation
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