含参量反常积分一致收敛的判别法

题目含参量反常积分一致收敛的判别法

学生姓名学号系别数学系年级2010级专业数学与应用数学指导教师职称完成日期

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摘要

含参变量的反常积分是研究和表达函数的的有力工具。要更好的研究含参量反常积分所表达的函数，关键问题在于判断他的一致收敛性。本文通过研究判断含参量反常积分一致收敛的判别法，以帮助研究含参量反常积分所表达的函数。关键词：含参量反常积分;一致收敛;判别法

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abstract

improperintegralwithvariableisthestudyandexpressiontoolfunction.tobetterfunctionofparameterimproperintegralexpressionofthekeyproblemliesinthejudgment，theuniformconvergenceofhis.throughthestudyofjudgingfunctiondiscriminantmethodofparameterimproperintegralconvergesuniformlytohelpthestudyofparameterimproperintegralexpression.

keywords：improperintegralwithvariable;uniformconvergence;discriminantanalysis

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目录

1引言·····································································································（1）2基本概念·······························································································（1）

2.1含参量反常积分·················································································（1）2.2含参量反常积分一致收敛·································································（2）

3含参量反常积分一致收敛的判别方法········································（2）