‌函数项级数<img src="https://static.zxtiku.com/wangke/imgs/topic/343c90b586eb87e1e9787f357e021c42.png"/>在数集<img src="https://static.zxtiku.com/wangke/imgs/topic/3caa5aad538317624aac9702b5bfd939.png"/>上一致收敛的必要条件是函数列<img src="https://static.zxtiku.com/wangke/imgs/topic/510609686cdf8d15e948c80654c093de.png"/>在 <img src="https://static.zxtiku.com/wangke/imgs/topic/3caa5aad538317624aac9702b5bfd939.png"/> 上一致收敛于零.