On statistically convergent complex uncertain sequences

IF 1 Q1 MATHEMATICS Carpathian Mathematical Publications Pub Date : 2022-06-17 DOI:10.15330/cmp.14.1.135-146
B. Das, P. Debnath, B. Tripathy
{"title":"On statistically convergent complex uncertain sequences","authors":"B. Das, P. Debnath, B. Tripathy","doi":"10.15330/cmp.14.1.135-146","DOIUrl":null,"url":null,"abstract":"In this paper, we extend the study of statistical convergence of complex uncertain sequences in a given uncertainty space. We produce the relation between convergence and statistical convergence in an uncertain environment. We also initiate statistically Cauchy complex uncertain sequence to prove that a complex uncertain sequence is statistically convergent if and only if it is statistically Cauchy. We further characterize a statistically convergent complex uncertain sequence via boundedness and density operator.","PeriodicalId":42912,"journal":{"name":"Carpathian Mathematical Publications","volume":"45 1","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2022-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Carpathian Mathematical Publications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15330/cmp.14.1.135-146","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 4

Abstract

In this paper, we extend the study of statistical convergence of complex uncertain sequences in a given uncertainty space. We produce the relation between convergence and statistical convergence in an uncertain environment. We also initiate statistically Cauchy complex uncertain sequence to prove that a complex uncertain sequence is statistically convergent if and only if it is statistically Cauchy. We further characterize a statistically convergent complex uncertain sequence via boundedness and density operator.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
统计收敛的复不确定序列
本文扩展了复不确定序列在给定不确定空间中的统计收敛性的研究。给出了不确定环境下收敛性与统计收敛性的关系。我们还初始化了统计柯西复不确定序列,证明了一个复不确定序列当且仅当它是统计柯西的是统计收敛的。利用有界性和密度算子进一步刻画了统计收敛的复不确定序列。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
CiteScore
1.90
自引率
12.50%
发文量
31
审稿时长
25 weeks
期刊最新文献
Minimal generating sets in groups of $p$-automata Reciprocal distance Laplacian spectral properties double stars and their complements On the domain of convergence of general Dirichlet series with complex exponents Derivations of Mackey algebras On compressed zero divisor graphs associated to the ring of integers modulo $n$
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1