摘要
文献[1]和文献[2]举例说明了运用概率思想求多重积分极限方面的应用,本文综合应用依概率收敛和控制收敛定理等概率知识,推广文献[2]的定理,给出求解一类多重积分极限的一般性定理.并举例说明,运用定理解决此类多重积分极限的优越性.
Paper [ 1 ] and [2] illustrated the application of the probability idea in the limit of multi-integral. This paper applying probability knowledge, such as convergence in probability and control convergence theorem, generalizes the theorem in paper [2], obtains the general theorem of solving the limit of a class of multi-integral, and states the priority of using the theorem through the concrete example.
出处
《安徽师范大学学报（自然科学版）》
CAS
2007年第4期442-446,共5页
Journal of Anhui Normal University(Natural Science)
基金
安徽省教育厅自然科学基金(KJ2007B184)
关键词
多重积分的极限
依概率收敛
控制收敛定理
the limit of multi-integral
convergence in probability
control convergence theorem
