关于含参变量无穷积分的绝对一致收敛的注记

The Uniform and Absolute Convergence of Infinite Integral with a Parameter

本文从一个反例 ,证明了即使∫∞af(x ,t)dt绝对收敛且一致收敛 ,但不能推出∫∞a |f(x ,t) |dt一致收敛。

This paper,by taking a counter example,gives a proof thar though ∫ b af(x,t) d t is both uniformly and absolutely convergent, ∫ b a｜f(x,t)｜ d t is not uniformly convergent.