关于序列收敛性的一个注记
A Note on the Convergence of Sequence
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。
Abstract:
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.
参考文献
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