Lagrange插值过程“1/2”平均的导数逼近值

The Convergence Order of Derivative Approximation of Interpolation Process by "2/1" Average Lagrange Polynomials

本文研究了以Jacobi多项式∫n(x)的零点为插值节点的Lagrange“1/2”平均插值过程的导数逼近函数导数的收敛价,主要结果是定理1。

In this paper the Convergence crder of derivative approximation of interpolation process by '1/2' average Lagrange-polynomials F.(f, x) with zeros of sin[(2n+1)θ]/2/sin(9/2)(x=cosθ)is considered.The main result is theorem 1.