) 中图学技术大荸学系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS 定义:差商 f[x,x1]= f(x)-f(x0) 称为1阶差商 x1-x0 f[x,…xk f[x2…,xk]-f[x0,…,xk-1] 称为k阶差商 X-X数 学 系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS 0 1 0 1 0 1 0 1 0 0 1 [ , , ] [ , , ] [ , , ] ( ) ( ) [ , ] x x f x x f x x f x x x x f x f x f x x k k k k − − = − − = − 称为k阶差商 称为1阶差商 定义:差商