迫敛性的一些推广  

Some Popularizations of approximate convergence

作　　者：齐小忠[1] 

机构地区：[1]陇东学院数学系,甘肃庆阳745000

出　　处：《固原师专学报》2005年第3期18-20,共3页Journal of Guyuan Teachers College

摘　　要：首先将数列极限与函数极限的迫敛性定理依据Cauchy准则进行了推广,其次将迫敛性定理推广到了广义积分、数项级数、函数项级数与舍参变量的无穷积分.In the first place, this paper spreads the approximate convergence theorem of series limit and function limit according to Cauchy＇s criterion. Then it applies the approximate convergence theorem to improper integral,series of numeral term.series of function term and infinite limit of parametric variables.

关 键 词：极限 迫敛性 广义积分 数项级数 函数项级数 含参量积分 收敛 一致收敛 

分 类 号：O172[理学—数学]