中值定理的推广

The extension of the mean Value theorem

得到了关于Ｄｉｎｉ导数的中值定理，并给出了它的一些应用．主要结果是：若［ａ，ｂ］上的连续函数ｆ除可列个点外，右上导数Ｄ＋ｆ（ｘ）≤Ｍ，则有ｆ（ｂ）－ｆ（ａ）≤Ｍ（ｂ－ａ）．

Extends the mean value thearem with Dini derivative and obtain the following main result.Let f is a continous function on [a,b],right upper derivative D+f(x)≤M unless enumerable points.Then f(b)-f(a)≤M(b-a),and gives applications for example.