二重极限与累次极限的联系及应用

Relations between Double Limit and Repeated Limit

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.