统计收敛与平均收敛  

Statistical Convergence and Average Convergence

作　　者：蓝永艺[1] 

机构地区：[1]集美大学理学院,福建厦门361021

出　　处：《集美大学学报（自然科学版）》2010年第2期147-149,共3页Journal of Jimei University：Natural Science

摘　　要：证明了有界序列统计收敛必平均收敛,并给出例子说明对于无界序列的这两种收敛不相互蕴含,最后还给出了有界序列统计收敛的一个充要条件.It was proved that statistical convergence implied average convergence in bounded sequences. The two kinds of convergence in unbounded sequences were also discussed and an equivalent condition for statistical convergence of the bounded sequence was given.

关 键 词：统计收敛 平均收敛 弱收敛 BANACH-SAKS性质 

分 类 号：O189.1[理学—数学]