In this paper,the Riemann integrability of some composite functions are discussed by using the necessary and sufficient conditions of Riemann integrability of bounded functions.An example is given that the out function is Riemann integrable,the inner function is continuous,but the composite function is not necessarily Riemann integrable.
关键词
复合函数/黎曼可积/零测度集
Key words
composite function/Riemann integrable/measure zero set