摘要
本文得到了以 Legendre 多项式及以 Tchebycheff 多项式的导数的零点为插值结点组的拉格朗日插值多项式于平方收敛意义下的收敛速度。
This paper gives an upper bound for the rate of square mean convergence of the Lagrange process on the zeros of the derived function of Legendre polynomials and Tchebycheff polynomials.
关键词
拉格朗日插值
多项式
平方收敛
收敛逼近阶
approximation by polynomials
polynomial interpolation
Lagrangian
square mean convergence
Legendre polynomials
Tchebycheff polynomials
Lagrange interpolation
