凸曲线的求长问题

Problems on Calculating the length of Convex Curves

本文给出并证明了凸函数的一个新的性质（文中引理及其证明），依此证明了凸曲线是可以求出长度的曲线（文中定理及其证明）及凸函数是可以积分的函数。

In this paper, we have proven a new quality of convex function (the lemma of the paper); and basing on the quality, we have proven that convex curves can be obtainned length and convex function have Newton inteqral.