含参量反常积分局部一致收敛的判定及其性质

摘要

摘要：建立在含参量反常积分局部一致收敛概念的基础上，得到了局部一致收敛的判别法以及性质，并且进一步明确地阐述了收敛、局部一致收敛和一致收敛之间的关系。%This paper studies some distinction and property of local uniform convergence about improper integral with parameter based on the concept of local uniform convergence. And it clearly explained relationships among convergence, uniform convergence and local uniform convergence.