函数项级数一致收敛定义的推广及其应用

Extension and Application of Series of Function Term's Consistent Convergence

利用数列对用定义判别函数项级数一致收敛的方法进行推广,找到函数项级数一致收敛的充分条件和充要条件,提供了证明函数项级数一致收敛的一般方法.

Series of function term's consistent convergence is extended by sequence of number. A sufficient and necessary condition, a sufficient condition of series of function term's consistent convergence are found.A general method for the determination of consistent convergent is introduced.