三大积分极限定理的等价性证明  

The Equivalence Proof of Three Integral Limit Theorems

作　　者：肖应雄[1] 

机构地区：[1]孝感学院数学与统计学院,湖北孝感432000

出　　处：《孝感学院学报》2009年第3期30-33,共4页JOURNAL OF XIAOGAN UNIVERSITY

摘　　要：对实变函数中的几个积分极限定理进行了研究,给出了Lebegue控制收敛定理、推广的Levi定理和推广的Fatou引理是相互等价的结论。Three integral limit theorems, i. e. , Lebegue control convergence theorem, generated Levi theorem and generated Fatou lemma in real variable functions are studied and proved, which concludes that the three theorems are equivalent actually.

关 键 词：Lebegue控制收敛定理 推广的Levi定理 推广的Fatou引理 

分 类 号：O177[理学—数学]