{"title":"节点更少的纽曼型插值有理函数的逼近特性","authors":"Laiyi Zhu, Xingjun Zhao","doi":"10.4208/ata.oa-2020-0048","DOIUrl":null,"url":null,"abstract":"In the present note, we consider the problem: how many interpolation nodes\ncan be deleted from the Newman-type rational function such that the convergence rate\nstill achieve.","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"19 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Approximation Properties of Newman Type Interpolation Rational Functions with Fewer Nodes\",\"authors\":\"Laiyi Zhu, Xingjun Zhao\",\"doi\":\"10.4208/ata.oa-2020-0048\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the present note, we consider the problem: how many interpolation nodes\\ncan be deleted from the Newman-type rational function such that the convergence rate\\nstill achieve.\",\"PeriodicalId\":29763,\"journal\":{\"name\":\"Analysis in Theory and Applications\",\"volume\":\"19 1\",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2023-12-01\",\"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.oa-2020-0048\",\"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.oa-2020-0048","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Approximation Properties of Newman Type Interpolation Rational Functions with Fewer Nodes
In the present note, we consider the problem: how many interpolation nodes
can be deleted from the Newman-type rational function such that the convergence rate
still achieve.
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