) 中图学技术大荸学系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS 定义3:函数f的离散范数为 ln=∑f(x)f(x) 0 提示:该种内积,范数的定义与向量的2一范数一致 我们还可以定义函数的离散范数为: Ifl =(f(xo), f(x,) f(x,)=max ((xo),f(x,),",f(*m) /lb=K(x)f(x)…f(x)=∑儿(x)数 学 系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS 定义3：函数f的离散范数为 = = n i D i i f f x f x 0 ( ) ( ) 提示：该种内积，范数的定义与向量的2－范数一致 我们还可以定义函数的离散范数为： ( ) ( ) ( ) 0 1 0 1 0 1 1 0 ( ), ( ), , ( ) max ( ), ( ), , ( ) ( ), ( ), , ( ) ( ) D n n n D n i i f f x f x f x f x f x f x f f x f x f x f x  = = = = =