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.
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.
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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