N(x)+[x,x,x1…,x,(x 0 N,()+r(x) (n+1) 因此R(x) O( x (n+1)! 厂01 n+1 般R(x)≈/[x,x1八…xk+1Jok+1(x)k<n Newton插值 另外[x,x0x1r…,x] n(2 估计误差的 (n+1) 重要公式 f((2) kR (x) n ( ) ( 1)! ( ) 1 ( 1) x n f n n + + + = w x [ , , , , ] ( ) 0 1 1 f x x x x x = L n wn+ Õ= = + - n j n n j N x f x x x x x x 0 0 1 ( ) [ , , ,L, ] ( ) N (x) R (x) = n + n 因此 ( 1)! ( ) ( 1) + = + n f n x [ , , , , ] 0 1 n f x x x L x ! ( ) ( ) k f k x f [x0 , x1 ,L, xk ] = R (x) k [ , , , ] ( ) 0 1 1 1 f x x x x » L k + wk + 一般 k < n Newton插值 估计误差的 重要公式 另外