关于函数项级数逐项微分定理的改进

Some Improvement About Item-by-item Differential Theorem for Function Series

给出了函数项级数逐项微分定理的另外一种形式 ,它将原来定理中的条件大大减弱 ,结果加强 .应用时更加简便 .

This paper gives another form of item-by-item differential theorem of function series.It greatly reduces the conditions of original theorem,while strengthening its results.So it can be applied conveniently.