函数列测度收敛的一个判别方法  

A Discriminant Method for Convergence in Measure of Function Sequence

作　　者：孙秀花 SUN Xiuhua(College of Mathematics,Jinzhong University,Jinzhong 030600,China)

机构地区：[1]晋中学院数学学院

出　　处：《河南教育学院学报（自然科学版）》2019年第3期19-20,共2页Journal of Henan Institute of Education(Natural Science Edition)

基　　金：晋中学院优秀数学建模团队资助项目

摘　　要：主要给出了测度收敛意义下的夹逼定理,并且用两种不同的方法证明了该定理.使得函数列满足一定条件时,不用借助其他收敛,就能得出函数列测度收敛.The theorem of clamp approximation for convergence in measure of function is given, and the theorem is proved by two different methods. In this way, when the function sequence satisfies certain conditions, the convergence of the function sequence measures can be obtained without the help of other convergences.

关 键 词：测度收敛 夹逼定理 几乎处处收敛 可测函数 子列 

分 类 号：O174.1[理学—数学]