摘要
主要讨论了收敛级数的子级数和集的结构,得到了绝对收敛的子级数和集的一些有价值的性质,并首次给出了它的构造性证明。这是正项级数的一些性质推广和完善,作为和集性质的一个应用,证明了(0,1]数的二进制无穷表示是惟一的。
In the paper,a major goal of the research on the set of the sum of sub series of convergent series is to investigate its structure.Some valuable properties of the set of the sum of absolute convergent series are obtained.It is generalized for some properties of positive series.A method of constructive proof is given for the first time.As an application of the properties of the set of the sum,the binary infinite representation of a number in the interval(0,1] is unique.
出处
《黑龙江科技学院学报》
CAS
2006年第5期328-331,共4页
Journal of Heilongjiang Institute of Science and Technology
关键词
绝对收敛
条件收敛
子级数
absolute convergent
conditional convergent
sub series
