模糊数列的理想统计收敛和理想缺项统计收敛

J4 ›› 2012, Vol. 47 ›› Issue (6): 111-116.

模糊数列的理想统计收敛和理想缺项统计收敛

巩增泰,刘晓霞

西北师范大学数学与信息科学学院, 甘肃兰州 730070

收稿日期:2011-12-04 出版日期:2012-06-20 发布日期:2012-06-26
作者简介:巩增泰(1966- ), 男, 博士, 教授, 博士生导师, 主要从事模糊分析学的研究. Email:gongzt@nwnu.edu.cn
基金资助:
国家自然科学基金资助项目(71061013); 西北师范大学知识创新工程资助项目 (NWNUKJCXGC0361)

Ideal statistical convergence and ideal lacunary statistical convergence for a sequence of fuzzy numbers

GONG Zeng-tai, LIU Xiao-xia

College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, Gansu, China

Received:2011-12-04 Online:2012-06-20 Published:2012-06-26

摘要/Abstract

摘要：

将模糊数列的统计收敛和缺项统计收敛置于理想的框架下, 提出和研究了模糊数列的理想统计收敛和理想缺项统计收敛的概念和相互关系, 推广了前人的结果。同时, 讨论了模糊数列统计收敛与理想统计收敛之间、以及模糊数列缺项统计收敛与理想缺项统计收敛之间的相互关系。

关键词: 模糊数列; 理想统计收敛; 理想缺项统计收敛

Abstract:

The concepts of the ideal statistical convergence and ideal lacunary statistical convergence for a sequence of fuzzy numbers are defined, and their relationship is also investigated. In addition, the relationship between statistical convergence (lacunary statistical convergence) and ideal statistical convergence (ideal lacunary statistical convergence) for a sequence of fuzzy numbers is discussed.

Key words: sequence of fuzzy numbers; ideal statistical convergence; ideal lacunary statistical convergence

巩增泰,刘晓霞. 模糊数列的理想统计收敛和理想缺项统计收敛[J]. J4, 2012, 47(6): 111-116.

GONG Zeng-tai, LIU Xiao-xia. Ideal statistical convergence and ideal lacunary statistical convergence for a sequence of fuzzy numbers[J]. J4, 2012, 47(6): 111-116.

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