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β-统计收敛与收敛的关系

施慧华

华侨大学学报(自然科学版)2011,Vol.32Issue(5):597-600,4.
华侨大学学报(自然科学版)2011,Vol.32Issue(5):597-600,4.

β-统计收敛与收敛的关系

Relationship between β-Statistical Convergence and Convergence

施慧华1

作者信息

  • 1. 华侨大学数学科学学院,福建泉州362021
  • 折叠

摘要

Abstract

Applying β-convergence, we first show that statistical convergence, A-statistical convergence, lacunary statistical convergence, γ-statistical convergence and strongly statistical convergence are just the specific types of β-convergence, and present the representation of these several classical statistical convergence by using measure theory. By establishing the relationship between β-statistical convergence and convergence, we give the equivalent description between statistical convergence, A-statistical convergence, strongly statistical convergence and convergence.

关键词

β-统计收敛/收敛/统计测度/Banach空间

Key words

β-statistical convergence/ convergence/ statistical measure/ Banach space

分类

数理科学

引用本文复制引用

施慧华..β-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):597-600,4.

基金项目

华侨大学高层次人才科研启动项目(10BS215) (10BS215)

华侨大学学报(自然科学版)

OA北大核心CSTPCD

1000-5013

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