一类函数列积分的性质

The Integral Property about a Function Sequence

首先探讨了闭区间上非负连续函数列积分构成的数列极限问题,给出了极限值与函数最值有关的结论.然后利用此结论,研究了闭区间上非负连续函数列积分的第一积分中值定理“中间点”构成数列的单调性与敛散性,得到了一系列结论.

First,this paper discussed the sequence limits generated by integral of nonnegative continuous function sequence on a closed interval,gave a conclusion about limit value and function most value. And then using the conclusion, researched sequence＇s monotonicity, convergence and divergence generated by the intermediate point of the first mean value theorem for integrals of nonnegative continuous function sequence on a closed interval, got a series of conclusions.