[1]施慧华.B-统计收敛与收敛的关系[J].华侨大学学报(自然科学版),2011,32(5):597-600.[doi:10.11830/ISSN.1000-5013.2011.05.0597]
　SHI Hui-hua.Relationship between B-Statistical Convergence and Convergence[J].Journal of Huaqiao University(Natural Science),2011,32(5):597-600.[doi:10.11830/ISSN.1000-5013.2011.05.0597]
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B-统计收敛与收敛的关系()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第32卷
期数:
2011年第5期
页码:
597-600
栏目:
出版日期:
2011-09-20

文章信息/Info

Title:
Relationship between B-Statistical Convergence and Convergence
文章编号:
1000-5013(2011)05-0597-04
作者:
施慧华
华侨大学数学科学学院
Author(s):
SHI Hui-hua
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
B-统计收敛;  收敛;  统计测度;  Banach空间
Keywords:
B-statistical convergence;  convergence;  statistical measure;  Banach space
分类号:
O189.13
DOI:
10.11830/ISSN.1000-5013.2011.05.0597
文献标志码:
A
摘要:
利用B-统计收敛说明统计收敛、A-统计收敛、缺项统计收敛、λ-统计收敛及强统计收敛分别是B-统计收敛的特殊形式,并分别给予测度刻画.考察B-统计收敛与一般序列收敛之间的关系,得到统计收敛、λ-统计收敛及强统计收敛与收敛之间的等价描述.
Abstract:
Applying B-convergence,we first show that statistical convergence,A-statistical convergence,lacunary statistical convergence,λ-statistical convergence and strongly statistical convergence are just the specific types of B-convergence,and present the representation of these several classical statistical convergence by using measure theory.By establishing the relationship between B-statistical convergence and convergence,we give the equivalent description between statistical convergence,λ-statistical convergence,strongly statistical convergence and convergence.

参考文献/References:

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备注/Memo

备注/Memo:
华侨大学高层次人才科研启动项目(10BS215)
更新日期/Last Update: 2014-03-23