一类插值结点上的Lagrange插值基本多项式的估计

The Estimation of the Lagrange Interpolation Basic Polynomial on the Nodes

Lagrange插值过程比较简单、直接,有着广泛的实际应用价值。基于第二类Chebyshev结点组上给出了Lagrange插值基本多项式的估计,给出了Lebesgue常数的一个范围,得到了第二类Chebyshev结点组是一类比较好的结点组。

Lagrange interpolation process is simple and direct,so it is used in practice.The estimation of the Lagrange interpolation basic polynomial on the second Chebyshev nodes and the range of the Lebesgue constant are given.So the second Chebyshev nodes are better nodes.