Fubini定理的应用探讨  

Discussion on the Application of Fubini Theorem

作　　者：张顺钦 姚恺 ZHANG Shunqin;YAO Kai(School of Science,China University of Mining ＆Technology,Beijing 100083)

机构地区：[1]中国矿业大学(北京)理学院,北京100083

出　　处：《科教导刊》2018年第30期41-42,共2页The Guide Of Science & Education

基　　金：中国矿业大学(北京)大学生创新训练项目(C201707544)"Lebesgue空间理论及其应用"(指导教师:林燕)

摘　　要：本文运用Fubini定理解决了勒贝格积分在非负可测的情况下积分域上取极限的问题,并且通过推广与举例得到对Fubini定理以及积分域上取极限更深刻的认识。In this paper, the Fobini theorem is used to solve the problem that the Lebesgue integral takes the limit in the integral domain under non-negative measurable conditions, and a more profound understanding of the Fubini theorem and the limit of the integral domain is obtained by generalization and examples.

关 键 词：FUBINI定理 极限 积分域 

分 类 号：O141.41[理学—数学]