{"title":"用Gauss-Weierstrass算子逼近不连续二元函数","authors":"Jianyong Wang, Xiao-Ming Zeng, Peixin Ye","doi":"10.1109/ITA.2013.69","DOIUrl":null,"url":null,"abstract":"A new class of bivariate functions on R2 denoted by IB(R2) is introduced. The class IB(R2) may contain some kind of discontinuous functions. The behavior of approximation of functions in IB(R2) by bivariate Gauss-Weierstrass operators is investigated and a point wise approximation theorem is established.","PeriodicalId":285687,"journal":{"name":"2013 International Conference on Information Technology and Applications","volume":"11 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Approximation of Discontinuous Bivariate Functions by Gauss-Weierstrass Operators\",\"authors\":\"Jianyong Wang, Xiao-Ming Zeng, Peixin Ye\",\"doi\":\"10.1109/ITA.2013.69\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A new class of bivariate functions on R2 denoted by IB(R2) is introduced. The class IB(R2) may contain some kind of discontinuous functions. The behavior of approximation of functions in IB(R2) by bivariate Gauss-Weierstrass operators is investigated and a point wise approximation theorem is established.\",\"PeriodicalId\":285687,\"journal\":{\"name\":\"2013 International Conference on Information Technology and Applications\",\"volume\":\"11 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-11-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2013 International Conference on Information Technology and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ITA.2013.69\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2013 International Conference on Information Technology and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ITA.2013.69","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Approximation of Discontinuous Bivariate Functions by Gauss-Weierstrass Operators
A new class of bivariate functions on R2 denoted by IB(R2) is introduced. The class IB(R2) may contain some kind of discontinuous functions. The behavior of approximation of functions in IB(R2) by bivariate Gauss-Weierstrass operators is investigated and a point wise approximation theorem is established.
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