Lebesgue积分的介值定理  

Intermediate Value Theorem of Lebesgue Integral

作　　者：孙秀花 房常新 SUN Xiu-hua;FANG Chang-xin(Department of Mathematics,Jinzhong University,Jinzhong Shanxi 030600,China;Vocational Education Shool,Dezhou University,Dezhou Shandong 253023,China)

机构地区：[1]晋中学院数学学院,山西晋中030600 [2]德州学院职业教育学院,山东德州253023

出　　处：《德州学院学报》2020年第2期30-32,共3页Journal of Dezhou University

摘　　要：利用Lebesgue积分的性质和连续函数的介值定理,得到Lebesgue积分具有介值性质,并利用该性质得出Lebesgue积分的零点定理.By using the property of Lebesgue integral and the intermediate value theorem of continuous function,it is obtained that Lebesgue integral has intermediate property,and the zero theorem of Lebesgue integral is obtained by using this property.

关 键 词：LEBESGUE积分 介值定理 连续函数 积分的绝对连续性 

分 类 号：O174.1[理学—数学]