{"title":"On statistical convergence of order α of sequences in gradual normed linear spaces","authors":"C. Choudhury, B. Das, S. Debnath","doi":"10.1515/jaa-2023-0105","DOIUrl":null,"url":null,"abstract":"Abstract In the current paper, we introduce the notion of statistical convergence of order α and strongly p-Cesàro summability of order α of sequences in the gradual normed linear spaces. We investigate several properties and a few inclusion relations of the newly introduced notions.","PeriodicalId":44246,"journal":{"name":"Journal of Applied Analysis","volume":"13 12","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/jaa-2023-0105","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
Abstract In the current paper, we introduce the notion of statistical convergence of order α and strongly p-Cesàro summability of order α of sequences in the gradual normed linear spaces. We investigate several properties and a few inclusion relations of the newly introduced notions.
期刊介绍：
Journal of Applied Analysis is an international journal devoted to applications of mathematical analysis. Among them there are applications to economics (in particular finance and insurance), mathematical physics, mechanics and computer sciences. The journal also welcomes works showing connections between mathematical analysis and other domains of mathematics such as geometry, topology, logic and set theory. The journal is jointly produced by the Institute of Mathematics of the Technical University of Łódź and De Gruyter. Topics include: -applications of mathematical analysis (real and complex, harmonic, convex, variational)- differential equations- dynamical systems- optimization (linear, nonlinear, convex, nonsmooth, multicriterial)- optimal control- stochastic modeling and probability theory- numerical methods
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