显然,当q(x)=x(=0,…,m时,函数组(,x,x2…,x" 满足Har条长件。此时,最小平方逼近多项式为 Pn(x)=ao+a,x+a2x'+.+anx 相应的法方程组为 (n+1)a+∑x吗+∑x吗+…+∑xa=∑(x) i=0 i=0 i=0 ∑xa+∑+∑x吗2+…+∑x1|an=∑xf(x) ∑ ∑xa+∑x|吗2+…+∑xan=∑增f(x)显然，当 时，函数组 满足Harr条件。 ( ) ( 0,1, , ) j j  x x j m = =   2 1, , , , m x x x 此时，最小平方逼近多项式为 2 0 1 2 ( ) m P x a a x a x a x m m = + + + + 相应的法方程组为 ( ) 2 0 1 2 0 0 0 0 2 3 1 0 1 2 0 0 0 0 0 1 0 1 0 0 1 ( ) ( ) n n n n m i i i m i i i i i n n n n n m i i i i m i i i i i i i n n m m i i i i n a x a x a x a f x x a x a x a x a x f x x a x a x = = = = + = = = = = + = =       +  +  +  + +  =                      +  +  + +  =                      +  +                    2 2 2 0 0 0 ( ) n n n m m m i i m i i i i i a x a x f x + = = =                + +  =            