摘要
将数学分析中一致收敛性的概念加以推广，分别对函数项级数和含参量积分引入次一致收敛的概念，证明了函数项级数、含参量非正常积分连续性的充要条件和可微性的充分条件，推广了数学分析中的相应结论．
In this paper we study the generalization of the uniformly convergence in mathematical analysis,quote the concept of second uniformly convergence to functional series and integral with parameter.Furthermore,we obtain a sufficient and necessary condition about continuity of functional series and integral with parameter,and show the sufficient condition about differential.
出处
《绍兴文理学院学报（自然科学版）》
2004年第7期6-8,共3页
Journal of Shaoxing College of Arts and Sciences
关键词
数学分析
次一致收敛
连续
可微
函数项级数
uniformly convergence
second uniformly convergence
continuity
differential
