安庆师范学院学报（自然科学版）Issue(4)：1-5,5.DOI:10.13757/j.cnki.cn34-1150/n.2014.04.001
与康托集有关的一些函数的勒贝格积分
The Lebesgue Integral of Some Function Associated with the Cantor Set
摘要
Abstract
Calculation of Lebesgue integral for some function related to the Cantor set is discussed .Using the students'interest in the structure of the Cantor set, integrability determination is made on some function for Riemann integral and Lebesgue integral , and the relationship between the two kinds of integral is used to calculate these integrals , which deepens the understanding of the theory of the Lebesgue integral.关键词
实变函数/康托集/黎曼积分/勒贝格积分Key words
real variable function/Cantor set/Riemann integral/Lebesgue integral分类
数理科学引用本文复制引用
周其生..与康托集有关的一些函数的勒贝格积分[J].安庆师范学院学报（自然科学版）,2014,(4):1-5,5.基金项目
安徽省质量工程项目（2012gxko75）省级精品资源共享课程《实变函数》资助。 （）
