摘要
通过介绍勒贝格积分三大收敛定理及其在积分极限计算与证明中的应用,帮助学生获得更多现代数学思想,提高应用实变函数理论分析问题与解决实际问题的能力.
In this paper, by introducing three convergence theorem of Lebesgue integral and its application in the calculation and proofs of integral limit, we hope to help students get more modern mathematical thought and improve their ability to analyse and solve problems in applying the theory of real variable functions.
出处
《科教导刊》
2017年第6X期60-61,共2页
The Guide Of Science & Education
基金
重庆市教委科研基金项目(No.KJ130503)
关键词
勒维定理
法都引理
勒贝格控制收敛定理
勒贝格积分
Levi theorem
Fatou lemma
Lebesgue dominated convergence theorem
Lebesgue integral