摘要
探讨积分上限函数的周期性,得到积分上限函数是周期函数的两个充分必要条件,并得到当被积函数是周期函数时,无穷限的反常积分发散性的一个结论.
This paper studies the periodicity of the function defined as a definite integral with its upper limit being viewed as the variable. Two necessary and sufficient conditions are obtained, and a conclusion about the divergence of an improper integral with periodic integrand is drawn.
出处
《高等数学研究》
2011年第1期9-11,共3页
Studies in College Mathematics
基金
国家自然科学基金资助项目(10771088)
江苏大学高级人才专项基金资助项目(07JDG082)
关键词
积分上限函数
周期性
平均值
function defined by integral, periodicity, mean value
