函数列具有积分等度绝对连续的判定  

Sequence of Functions with Absolutely Continuous Integrals to Determine the Degree

作　　者：王国阳[1] 张纪平[2] 

机构地区：[1]泉州经贸职业技术学院,福建泉州362000 [2]泉州师范学院数学与计算机科学学院,福建泉州362000

出　　处：《泉州师范学院学报》2011年第4期5-7,共3页Journal of Quanzhou Normal University

摘　　要：应用对可积函数列取积分上确界方法,给出函数列具有积分等度绝对连续的一个充要条件,得出函数列具有积分等度绝对连续的一系列等价命题,从而完善了积分和极限交换顺序.Applicating integrable functions using the integral supremum method, this paper gives a sufficient and necessary condition to conclude the degree sequence of functions with absolutely continuous integration, it also gives sequence of functions with absolutely continuous degree of integration such as a series of equivalent propositions, in order to improve the integration and limit the exchange order.

关 键 词：可积函数 积分等度绝对连续 度量收敛 上确界 

分 类 号：O174.1[理学—数学]