加权Bernstein-Durrmeyer算子的加权lp逼近

IF 0.4 Q4 MATHEMATICS

Analysis in Theory and Applications Pub Date : 2018-06-01 DOI:10.4208/ATA.2018.V34.N1.1

Meili Wang

{"title":"加权Bernstein-Durrmeyer算子的加权lp逼近","authors":"Meili Wang","doi":"10.4208/ATA.2018.V34.N1.1","DOIUrl":null,"url":null,"abstract":"Abstract. In the present paper, we establish direct and converse theorems for weighted Bernstein-Durrmeyer operators under weighted Lp−norm with Jacobi weight w(x) = xα(1−x). All the results involved have no restriction α,β< 1− p , which indicates that the weighted Bernstein-Durrmeyer operators have some better approximation properties than the usual Bernstein-Durrmeyer operators.","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"24 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2018-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Weighted Lp-Approximation by Weighted Bernstein-Durrmeyer Operators\",\"authors\":\"Meili Wang\",\"doi\":\"10.4208/ATA.2018.V34.N1.1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract. In the present paper, we establish direct and converse theorems for weighted Bernstein-Durrmeyer operators under weighted Lp−norm with Jacobi weight w(x) = xα(1−x). All the results involved have no restriction α,β< 1− p , which indicates that the weighted Bernstein-Durrmeyer operators have some better approximation properties than the usual Bernstein-Durrmeyer operators.\",\"PeriodicalId\":29763,\"journal\":{\"name\":\"Analysis in Theory and Applications\",\"volume\":\"24 1\",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2018-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Analysis in Theory and Applications\",\"FirstCategoryId\":\"95\",\"ListUrlMain\":\"https://doi.org/10.4208/ATA.2018.V34.N1.1\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Analysis in Theory and Applications","FirstCategoryId":"95","ListUrlMain":"https://doi.org/10.4208/ATA.2018.V34.N1.1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

摘要本文在Jacobi权w(x) = xα(1 - x)的加权Lp -范数下，建立了加权Bernstein-Durrmeyer算子的正逆定理。所涉及的所有结果都没有限制α，β< 1−p，这表明加权Bernstein-Durrmeyer算子比通常的Bernstein-Durrmeyer算子具有更好的近似性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

On Weighted Lp-Approximation by Weighted Bernstein-Durrmeyer Operators

Abstract. In the present paper, we establish direct and converse theorems for weighted Bernstein-Durrmeyer operators under weighted Lp−norm with Jacobi weight w(x) = xα(1−x). All the results involved have no restriction α,β< 1− p , which indicates that the weighted Bernstein-Durrmeyer operators have some better approximation properties than the usual Bernstein-Durrmeyer operators.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Analysis in Theory and Applications

自引率

0.00%

发文量

747