标题:
关于序列收敛性的一个注记A Note on the Convergence of Sequence
作者:
吴健, 周廖, 孙成恩
关键字:
Cauchy收敛, Cesaro收敛, Abel收敛Cauchy Convergence, Cesaro Convergence, Abel Convergence
期刊名称:
《Pure Mathematics》, Vol.6 No.5, 2016-09-07
摘要:
本文讨论Cauchy收敛、Cesaro收敛、以及Abel收敛性之间的关系。给出了若干反例说明这三种收敛性一个比一个弱，并且通过增加适当的条件给出较弱形式的逆命题。
In this paper, we discuss the relationship between Cauchy convergence, Cesaro convergence and Abel convergence. Some examples are given to show that the three kinds of Cenvergence are weaker one by one. Furthermore, by adding some mild conditions the weaker type inverse propositions are presented.