本文在原有研究结果的基础上，讨论了叙列空间上的弱k级有界变差函数的一致收敛问题，得到了若干有关一致收敛的等价条件。

In this paper, based on -, the uniform convergence of the Kth order weak bounded variation functions on the sequence Spaces were investigated. Some equivalent conditions were also obtained.

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对于函数级数，研究其和函数的解析性质很重要，但函数级数必须具有一致收敛性，而判断函数级数的一致收敛性往往是比较困难的。

However, this study should be based on the fact that the series must have consistent convergence, the judgment of which is rather difficult.

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在论证过程中充分利用了解析函数的性质，系统推导了内闭一致有界与内闭一致收敛的关系。

The author also studies the relationship between internally closed uniform bound and internally closed uniform convergence.

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