Posted by haifeng on 2024-09-11 16:08:07 last update 2024-09-11 16:08:07 | Edit | Answers (0)
设有 $n+1$ 个点 $(x_j,y_j)$, $j=0,1,2,\ldots,n$. 令
\[ \ell_j(x)=\prod_{i=0, i\neq j}^{n}\frac{x-x_i}{x_j-x_i}, \]
则称
\[ P_n(x)=\sum_{j=0}^{n}y_j\ell_j(x) \]
为由这 $n+1$ 个点确定的 Lagrange 多项式.
