含参量积分连续的一个充分条件

A sufficient condition for the continuity of the integral with parameters

研究了含参量积分的连续性的问题,利用一致(R)可积的定义,给出了一个新的可积充分条件,推广了通常的连续性条件.

The problem of the continuity of the integral with parameters is studied. By the use of the definition of uniform （R） integration , a sufficient condition for the problem is obtained, which is better than the condition of continuity.