{"title":"Fuzzy Korovkin type Theorems via deferred Cesaro and deferred Euler equi-statistical convergence","authors":"Purshottam Agrawal, Behar Baxhaku","doi":"10.33993/jnaat522-1350","DOIUrl":null,"url":null,"abstract":"We establish a fuzzy Korovkin type approximation theorem by using \\(eq-stat^{D}_{CE}\\)(deferred Ces\\'{a}ro and deferred Euler equi-statistical) convergence proposed by Saini et al. for continuous functions over \\([a,b]\\). Further, we determine the rate of convergence via fuzzy modulus of continuity.","PeriodicalId":287022,"journal":{"name":"Journal of Numerical Analysis and Approximation Theory","volume":"305 3","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Numerical Analysis and Approximation Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33993/jnaat522-1350","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We establish a fuzzy Korovkin type approximation theorem by using \(eq-stat^{D}_{CE}\)(deferred Ces\'{a}ro and deferred Euler equi-statistical) convergence proposed by Saini et al. for continuous functions over \([a,b]\). Further, we determine the rate of convergence via fuzzy modulus of continuity.