修正后的Lagrange插值多项式的逼近阶

Approximation Order of Lagrange Interpolation Polynomial after Revised

对Ｌａｇｒａｎｇｅ 插值多项式进行了修正，构造了一个算子，它对于在区间［ － １ ，１］ 上有任意阶连续导数的函数都一致收敛，并且收敛阶达到了最佳，而且算子的最高收敛阶为１／ ｎｒ ．

Lagrange interpolation polynomial is revised and an operator is constructed. It converges uniformly to arbitary continuous derivative function in [-1,1] and the highest convergence order of the operator is 1/n r .