) 中图斜学技术大荸学系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS ③误差估计 1-x|=9(x)-0(x-1)≤儿x-xk1≤…≤Dx1 +…+x P x k+p k+p-1 k+1 ≤(Z+P++…+Z (1-LP k 1-L 中p的任意性,令p->+ x 证毕数 学 系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS ③误差估计 1 1 1 1 0 x x (x ) (x ) L x x L x x k k+ − k =  k − k−  k − k−  − k p k k p k p k k  x − x  x − x + + x − x + + + −1  +1 ( ) 1 0 1 L L x x k p k  + + − + +  ( ) 1 0 1 0 1 1 1 x x L L x x L L L k p k − − −  − − = 由p的任意性，令 1 0 1 * x x L L x x k k − − −  p →+ 证毕