) 中图学技术大荸学系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS 7+C1(x-x)+∴+a1(x-x X-x 而且有: (x)=a0=f(x) n(x)=a0+a1(x1-x0)=f(x) Nn(x2)=a0+a1(x2-x)+a2(x2-x0(x2-x1)=f(x2) Nn(n)=ao+a,(rm-xo)+ +an(n-xo)(rn-xm-=f(rn)数 学 系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS ( ) ( ) ( ) ( )  n = 0 + 1 − 0 + + n − 0 − n−1 N x a a x x  a x x  x x 而且有：        = + − + + − − = = + − + − − = = + − = = = − ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( )( ) ( ) ( ) ( ) ( ) ( ) ( ) 0 1 0 0 1 2 0 1 2 0 2 2 0 2 1 2 1 0 1 1 0 1 0 0 0 n n n n n n n n n n n N x a a x x a x x x x f x N x a a x x a x x x x f x N x a a x x f x N x a f x   