{"title":"Statistical Convergence of Sequences of Functions in Neutrosophic Normed Spaces","authors":"Vakeel A. Khan, Mohammad Daud Khan, Amit Kumar","doi":"10.1080/01630563.2023.2248695","DOIUrl":null,"url":null,"abstract":"ABSTRACTIn this article, we study the statistical convergence of sequences of functions in neutrosophic normed spaces. We define the concept of statistical pointwise convergence and statistical uniform convergence in neutrosophic normed spaces and give some basic properties of these concepts.KEYWORDS: Neutrosophic normed space-(NNS)statistically Cauchy sequencesstatistically completeness and uniformly statistically convergentstatistical convergent AcknowledgmentsWe would like to express our gratitude to the referees of the paper for their useful comments and suggestions toward the quality improvement of the paper.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":"25 1","pages":"0"},"PeriodicalIF":1.4000,"publicationDate":"2023-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Numerical Functional Analysis and Optimization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/01630563.2023.2248695","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
ABSTRACTIn this article, we study the statistical convergence of sequences of functions in neutrosophic normed spaces. We define the concept of statistical pointwise convergence and statistical uniform convergence in neutrosophic normed spaces and give some basic properties of these concepts.KEYWORDS: Neutrosophic normed space-(NNS)statistically Cauchy sequencesstatistically completeness and uniformly statistically convergentstatistical convergent AcknowledgmentsWe would like to express our gratitude to the referees of the paper for their useful comments and suggestions toward the quality improvement of the paper.
期刊介绍:
Numerical Functional Analysis and Optimization is a journal aimed at development and applications of functional analysis and operator-theoretic methods in numerical analysis, optimization and approximation theory, control theory, signal and image processing, inverse and ill-posed problems, applied and computational harmonic analysis, operator equations, and nonlinear functional analysis. Not all high-quality papers within the union of these fields are within the scope of NFAO. Generalizations and abstractions that significantly advance their fields and reinforce the concrete by providing new insight and important results for problems arising from applications are welcome. On the other hand, technical generalizations for their own sake with window dressing about applications, or variants of known results and algorithms, are not suitable for this journal.
Numerical Functional Analysis and Optimization publishes about 70 papers per year. It is our current policy to limit consideration to one submitted paper by any author/co-author per two consecutive years. Exception will be made for seminal papers.