连续型Kronecker引理  

Continuous Type Kronecker Lemma

作　　者：梁亦孔 LIANG Yikong(School of Mathematics,Physics and Statistics,Shanghai University of Engineering Science,Shanghai 201620,China)

机构地区：[1]上海工程技术大学数理与统计学院

出　　处：《上海工程技术大学学报》2019年第3期285-288,共4页Journal of Shanghai University of Engineering Science

摘　　要：Kronecker引理常用于证明概率论中大数定理,它是离散的情形.结合广义洛必塔法则,得到连续型Kronecker引理的雏形.然后将条件进一步放宽,得到更一般化的连续型Kronecker引理,并用得到的引理证明了与广义积分有关的一些极限性质.Kronecker lemma is commonly used in probability theory of the large number theorem,but it is only for discrete case.A prototype continuous Kronecker lemma was presented by using the generalized L’Hospital rule.Based on these,a more general continuous Kronecker lemma was obtained through further relaxing the conditions,and some limit properties related to the improper integral were proved by using this lemma.

关 键 词：KRONECKER引理 广义洛必塔法则 广义积分 

分 类 号：O211.4[理学—概率论与数理统计] O172[理学—数学]