{"title":"Statistical approximation properties of Stancu type λ-Bernstein operators","authors":"Peng-Hui Wang, Qingbo Cai","doi":"10.1109/ICEICT.2019.8846309","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce a Stancu type λ Bernstein operators, and obtain the moments and the limitation of central moments of these operators, study a statistical approximation theorem and a Voronovskaja type theorem by using the concept of statistical convergence. We also give an example to show the convergent effect of these operators to certain function f.","PeriodicalId":382686,"journal":{"name":"2019 IEEE 2nd International Conference on Electronic Information and Communication Technology (ICEICT)","volume":"344 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019 IEEE 2nd International Conference on Electronic Information and Communication Technology (ICEICT)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICEICT.2019.8846309","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
In this paper, we introduce a Stancu type λ Bernstein operators, and obtain the moments and the limitation of central moments of these operators, study a statistical approximation theorem and a Voronovskaja type theorem by using the concept of statistical convergence. We also give an example to show the convergent effect of these operators to certain function f.