14举例 1/2 r u-y R d(u, v)=u-v=max u-v <i<n 3(C[ab1,|·) d(, g)=f-8=max f(x)-g(x) 40(Ca61·2 d(,g)=1f-g2=(((x)-g(x)dk 2004-10-182004-10-18 10 1.4 举例 ( ) 2 0 1 , ⋅ n R ( ) 1/ 2 1 2 2 ( , )   = − = ∑ − =ni i i d u v u v u v 3 ( [ , ], ) 0 ∞ C a b ⋅ d( f , g) f g max f (x) g(x) a x b = − = − ∞ ≤ ≤ ( ) ∞ 2 , ⋅ 0 n R i i i n d u v = u − v = u − v 1≤ ≤ 2 ( , ) max 4 ( [ , ], )2 0 C a b ⋅ 2 1 2 2 ( , ) ( ( ) ( ))   = − = − ∫ ba d f g f g f x g x dx