连续函数的零点

The zero of continue functions

本文讨论了在任何区间不恒为零的连续函数的零点问题,得到了其零点集的Lebesgue测度等于零的结论,应用此结论,证明了积分算子的范数等式,构造的例子说明,此类函数的零点之集可具连续基数.

This paper discusses the zero question of continue functions that in any interval which is not permanent equal to zero, and gets the conclusion that the Lebesgue measure of its zero point collection is equal to aero. used this conclusion, we prove that the integral operator＇s norm equation, the example that we constructed show that these functions＇ zero point collection have continue potencies.