收敛且等值的无界函数与无穷区间广积分的积分变量间关系

The Relation between Integral Variables in Convergent and Equal Improper Integrals about Unbounded Function and Infinite Interval

本文讨论收敛且等值的无界函数与无穷区间广义积分的积分变量间关系,提出并证明了在一定的条件下,这两个变量同存在唯一单调增加和唯一单调减少的函数关系。

This paper concerns the relation of integral variables in convergent and equal improper inte- grals about unbounded function and infinite interval.It has mentioned and proved that there are unique mono- tone increasing function and unique monotone decreasing function between two integral variables under certain conditions.