{"title":"一类Birkhoff型2-周期三角和准三角插值","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 2ƒà -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":"{\"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 2ƒà -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}","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}
On a Kind of Birkhoff Type 2-Periodic Trigonometric and Paratrigonometric Interpolation
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.