勒贝格定理的有趣证明与函数黎曼可积性

An Interesting Proof of the Lebesque Theorem and Riemann Inerability of Functions

本文从振幅函数谈起,有趣的证明了勒贝格定理,然后通过典型例子充分说明了该定理是判定函数黎曼可积性的得力工具。

This paper sets out from oscillating function,It gives an interesting proof of the Lebesque theorem. Then it shows sufficiently that the Lebesque theorem is a capable tool of judging Riemann interability of funtions through typical examples.