一类函数列的极限及其应用  

Limit of the Sequence of Functions and its Applications

作　　者：张清邦 邓汝良 ZHANG Qing-bang;DENG Ru-liang(College of Economic Mathematics,University of Southwestern Finance and Economics,Chengdu 611130,China)

机构地区：[1]西南财经大学经济数学学院

出　　处：《大学数学》2019年第1期76-79,共4页College Mathematics

基　　金：西南财经大学中央高校基本科研业务费专项资金(JBK1802065\JBK1805001);西南财经大学“中央高校教育教学改革专项”项目(2019EM017)

摘　　要：在有限维空间中函数列的定义区域有界且下界恒大于零的假设下,证明了该类函数列极限存在的条件,并进一步得到与该函数列有关的一类积分数列的极限存在性条件;最后,给出了一个与第九届中国大学生数学竞赛预赛(数学类)第六题有联系的例子说明所得结论的应用.The existence of the limit of the sequence of functions is given under the assumption that the domain of the functions is bounded and its’lower bound is larger than zero in finite dimensional space,and the limit existence of a class of integral sequence about them is obtained.Finally,the examples are given,which is related to the sixth question in the ninth Chinese college students’mathematics preliminary competition(Mathematics).

关 键 词：极限 函数列 连续 有界 

分 类 号：O172[理学—数学]