连续参数的L积分极限定理  

Lebesgue integeral limit theorems of the continuous parameter

作　　者：张永锋[1] 

机构地区：[1]咸阳师范学院数学系,陕西咸阳712000

出　　处：《咸阳师范学院学报》2004年第4期8-10,共3页Journal of Xianyang Normal University

摘　　要：将Lebesgue积分的三大极限定理从函数列情形推广到连续参数情形,并由此证明 了含参量Lebesgue积分的连续性与可微性。The three greatest limit theorems of Lebesgue integral are from the function sequence situation popularized to the continuous parameter situation. Using the results we proved the continuity theorem and differentiability theorem of Lebesgue Integra depending on a parameter.

关 键 词：LEBESGUE积分 连续参数 极限定理 舍参量积分 

分 类 号：O172.2[理学—数学]