关于含参量广义积分一致收敛性的教学研究  

Uniform Convergence of the Generalized Integral with Parameters

作　　者：赵文强[1] 

机构地区：[1]重庆工商大学数学与统计学院,重庆400067

出　　处：《重庆工商大学学报（自然科学版）》2011年第5期458-462,466,共6页Journal of Chongqing Technology and Business University:Natural Science Edition

摘　　要：对含参量广义积分的一致收敛性给予讨论,从一致收敛的定义出发给出一致收敛的充要条件,以及判断一致收敛的柯西判别法、微分法和级数判别法,并给出证明和运用实例.The uniform convergence of the generalized integral with parameters is studied. The sufficient and necessary condition of uniform convergence is given based on the definition of the uniform convergence,and Cauchytest,differential method and series method of discriminating the uniform convergence are also given. The proofs and practical examples are also covered.

关 键 词：含参量广义积分 一致收敛 柯西判别法 微分法 级数判别法 

分 类 号：O172.2[理学—数学]