两类统计收敛的表示定理

周仙耕, 张敏

数学学报 ›› 2010, Vol. 53 ›› Issue (2) : 251-256.

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数学学报 ›› 2010, Vol. 53 ›› Issue (2) : 251-256. DOI: 10.12386/A2010sxxb0031
论文

两类统计收敛的表示定理

    周仙耕, 张敏
作者信息 +

A Representation Theorem for Two Types of Statistical Convergence

    Xian Geng ZHOU, Min ZHAN
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文章历史 +

摘要

本文证明了Banach空间X中的序列Δ(Δm)-统计收敛表示, 以及Banach空间X中的双序列(双序列双-Lacunary)统计收敛的表示.

 

Abstract

In this paper proves some representation theorems of Δ(Δm)-statistical convergence and double sequence (double sequence double Lacunary) statistical convergence in Banach space X.

 

关键词

统计收敛 / 双序列 / 次微分

Key words

statistical convergence / double sequence / subdifferential

引用本文

导出引用
周仙耕, 张敏. 两类统计收敛的表示定理. 数学学报, 2010, 53(2): 251-256 https://doi.org/10.12386/A2010sxxb0031
Xian Geng ZHOU, Min ZHAN. A Representation Theorem for Two Types of Statistical Convergence. Acta Mathematica Sinica, Chinese Series, 2010, 53(2): 251-256 https://doi.org/10.12386/A2010sxxb0031

参考文献


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基金

宁德师范高等专科学校科研资助项目(2009101)

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