NECESSARY AND SUFFICIENT CONDITIONS FOR FREQUENT CAUCHY SEQUENCES-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

NECESSARY AND SUFFICIENT CONDITIONS FOR FREQUENT CAUCHY SEQUENCES

Published:2009-06 Issue:02 Volume:02 Page:295-305
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Tian Chuan Jun¹,Cheng Sui Sun²,Gürdal Mehmet³

Affiliation:

1. College of Information Engineering, Shen Zhen University, Shenzhen 518060, P. R. China

2. Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan 30043, R.O.C.

3. Department of Mathematics, Suleyman Demirel University, 32260, Isparta, Turkey

Abstract

In this paper, by means of frequency measure (also called asymptotic density or natural density) defined for integer subsets, we obtain some new explicit sufficient and necessary conditions for real sequences to be frequently convergent. These conditions involve frequent Cauchy sequences and statistical pre-Cauchy sequences as well as statistical Cauchy sequences.

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557109000248

Reference26 articles.

1. On the density of certain sequences of integers

2. Partial Difference Equations

3. STATISTICALLY PRE-CAUCHY SEQUENCES

4. On the Asymptotic Density of the Sum of Two Sequences

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Lacunary statistical convergence of rough triple sequence via ideals;Asian-European Journal of Mathematics;2023-04-08

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP