关于斜变差函数的连续性定理的一点注记

A note on the theorem of continuity of sloped variation function

本文给出吴从炘与刘铁夫在1985年所得到的关于斜变差函数的连续性定理的一个直接证明。

In this paper, we give a direct proof of the theorem of continuity t of sloped variation function Vm(x), where m(t) is a strictly increasing fun- ction on [a, b], This theorem was given by Wu Congxin and Liu Tiefu in 1985.