{"title":"Stancu型λ-Bernstein算子的统计近似性质","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":"{\"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}","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}
Statistical approximation properties of Stancu type λ-Bernstein operators
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.