二重极限与累次极限的联系及应用  

Relations between Double Limit and Repeated Limit

作　　者：戴中元[1] 

机构地区：[1]北京大学数学科学学院,北京100871

出　　处：《高等数学研究》2013年第2期24-27,共4页Studies in College Mathematics

摘　　要：在二重极限存在的情况下给出累次极限的一个刻画,探讨两者之间的内在联系,并将这种方法应用于处理二重积分与累次积分以及其它一些问题.There are no direct relations between the existence of double limit and repeated limit. In this thesis, the author establishes some results about the repeated limit under the existences of the double limit. The results are generalized to the superior limit and inferior limit. Using the methods to deal with double integrals and repeated integrals and some other problems are demonstrated also.

关 键 词：二重极限 累次极限 二重积分 累次积分 

分 类 号：O172[理学—数学]