{"title":"On a Kind of Birkhoff Type 2-Periodic Trigonometric and Paratrigonometric Interpolation","authors":"Jin Guoxiang, Zhang Li, Ding Yong","doi":"10.1109/ICICIS.2011.97","DOIUrl":null,"url":null,"abstract":"In this paper, a kind of Birkhoff type 2-Periodic trigonometric and Para trigonometric interpolation problems with equidistant nodes for 2Ĉ -periodic and antiperiodic functions are discussed. We give the necessary and sufficient conditions for the solvable case of these interpolation problems. The expressions of the interpolation basis are constructed.","PeriodicalId":255291,"journal":{"name":"2011 International Conference on Internet Computing and Information Services","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 International Conference on Internet Computing and Information Services","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICICIS.2011.97","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
In this paper, a kind of Birkhoff type 2-Periodic trigonometric and Para trigonometric interpolation problems with equidistant nodes for 2Ĉ -periodic and antiperiodic functions are discussed. We give the necessary and sufficient conditions for the solvable case of these interpolation problems. The expressions of the interpolation basis are constructed.
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