Il(x-x, )=l(x I( 0 则插值公式N(x)=6+∑/[x,x,…,xp(x) k=1 化为N(+th)=+∑ △f k=1 kl.hk ∏I(- △ 6+∑[∏I(-川 k=1 k! 0 其余项 fn+(s) R,(x) (n+1) n+1 (n+1) n 化为 Rn(o+th) hI1(- n+ 0Õ - = = - 1 0 ( ) k j j wk (x) x x Õ - = = + - - 1 0 0 0 ( ) k j x th x jh Õ - = = - 1 0 ( ) k j t j h k k k h f × D ! [ 0 å= = + n k f 1 0 ( ) ] 1 0 Õ - = - k j t j h ! [ 0 k f k D å= = + n k f 1 0 ( )] 1 0 Õ - = - k j t j N (x) n å= = + n k k k f f x x x x 1 0 0 1 [ , ,L, ]w ( ) ( ) 0 N x th n + R (x) n ( ) ( 1)! ( ) 1 ( 1) x n f n n + + + = w x 则插值公式 化为 其余项 ( ) 0 R x th n + ( 1)! ( ) ( 1) + = + n f n x Õ= + - n j n h t j 0 1 化为 ( )