绝对连续表示函数的光滑性质,比连续和一致连续条件都要严格,比利普希茨条件宽松,是一类极为重要的函数。绝对连续函数几乎处处可微,是它的导函数的广义原函数。
定义了n重导数,n元绝对连续函数,广义n重原函数及牛顿n重积分。
It defines n-ple derivative, n-ary absolutely continuous function, generalized n-ple primitive function and Newton n-ple integral.
本文在先前对叙列空间上的K级绝对连续函数研究的基础上,又得了下面的结果。
In some paper, absolute continuous functions of order K on the sequence space was discussed byous. Now we obtain some results about that one.
文章给出了单调函数、有界变差函数、绝对连续函数的定义并讨论了三者之间的关系。
The paper gives the definitions of monotonic function, bounded variation function and absolute continuous function, and discusses the relationship of the three.
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