) 中图学技术大荸学系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS 差商性质总结 0 ]=f[ fx;…,xn f(x,) (x1-x0)…(x1-x1)(x2-x1)…(x1-xn) f[x0,…,xn f"(2) k 推论:若f(x)∈P"(x)[x2…,x] 0,数 学 系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS 差商性质总结 = − + − − − − = n i i i i i i i n i n x x x x x x x x f x f x x 0 0 1 1 0 ( ) ( )( ) ( ) ( ) [ , , ]    [ , , ] [ , , ] 0 0 n n i i f x  x = f x  x ( )! ( ) [ , , ] 0 n f f x x n n   =     =  = k n a k n f x P x f x x n k n 0, , ( ) ( ), [ , , ] 推论：若 0 