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累次极限可交换的一个充分条件
引用本文:刘集平,吴泽民.累次极限可交换的一个充分条件[J].黎明职业大学学报,2013(4):78-80,84.
作者姓名:刘集平  吴泽民
作者单位:[1]黎明职业大学纪检监察室 [2]泉州师范学院数学与计算机科学学院,福建泉州362000
摘    要:研究二重极限与累次极限,一致收敛与累次极限的关系,把一致收敛的概念推广到弱一致收敛。进而给出累次极限可交换的一个充分条件。

关 键 词:一致收敛  二重极限  累次极限

A Sufficient Condition for the Interchangeability of Iterated Limit
LIU Jiping,WU Zemin.A Sufficient Condition for the Interchangeability of Iterated Limit[J].Journal of LiMing Vocational University,2013(4):78-80,84.
Authors:LIU Jiping  WU Zemin
Institution:1. Inpect Discipline Office, Liming Vocational University ; 2. College of Mathematics and Computer Science, Quanzhou Normal University, Quanzhou 362000, China)
Abstract:The limit theory is a fundamental tool and important ideological method in function analysis. Whether the two different limits can be interchangeably operated or not is a most important problem in math- ematic analysis. It is widely used in mathematic analysis. Many mathematic solutions are attributed to the in- terchangeability of iterated limit. For example, the analysis of the limit function is eventually attributed to the of operation order of the changeability.
Keywords:uniform converge  double limit  iterated limit
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