高等学校计算数学学报
高等學校計算數學學報
고등학교계산수학학보
NUMERICAL MATHEMATICS A JOURNAL OF CHINESE UNIVERSITIES
2010年
1期
47-55
,共9页
Lagrange interpolation%derivative%mean convergence%best approximation
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.
