Dini定理的推广

AN EXTENTION OF DINI'S THEOREM

本文得到连续函数列f_n点收敛的极限函数g连续的充分必要条件.并将Dini定理推广到半序Banach空间.

In this paper, a necessary and sufficient condition of continuous to a function g is obtained when a sequence of continuous functions convergent to g, and Dini's Theorem to a semi-order Banach space is extended.