修正后的Lagrange插值多项式的收敛阶的估计

Estimation of Approximation Order of Lagrange Interpolation Polynomial After Revised

对Lagrange插值多项式进行了修正 ,构造了一个新的算子Hn(f;x) ,Hn(f;x)对每个f(x) ∈Cj[- 1,1] ,0 ≤j≤ 3都一致收敛 。

Lagrange interpolation polynomial is revised and a new operator H n(f;x) is constructed. It converges uniformly to f(x)∈C j [-1,1] ,0≤j≤3 and the convergence order of H n(f;x) reaches the order of approximation.