{"title":"二阶有理样条插值","authors":"P. Oja","doi":"10.3176/phys.math.1996.1.04","DOIUrl":null,"url":null,"abstract":". Interpolation with the rational splines of the form ¢y + clx + c22* /(1 + d172) on each subinterval [z;_;,z;] of the grida = 29 < z; < ... < z, = bis considered. The coefficients are determined from a nonlinear system which has a locally unique solution. The convergence of order O(h*) is proved.","PeriodicalId":308961,"journal":{"name":"Proceedings of the Estonian Academy of Sciences. Physics. Mathematics","volume":"23 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"SECOND-DEGREE RATIONAL SPLINE INTERPOLATION\",\"authors\":\"P. Oja\",\"doi\":\"10.3176/phys.math.1996.1.04\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". Interpolation with the rational splines of the form ¢y + clx + c22* /(1 + d172) on each subinterval [z;_;,z;] of the grida = 29 < z; < ... < z, = bis considered. The coefficients are determined from a nonlinear system which has a locally unique solution. The convergence of order O(h*) is proved.\",\"PeriodicalId\":308961,\"journal\":{\"name\":\"Proceedings of the Estonian Academy of Sciences. Physics. Mathematics\",\"volume\":\"23 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the Estonian Academy of Sciences. Physics. Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3176/phys.math.1996.1.04\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Estonian Academy of Sciences. Physics. Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3176/phys.math.1996.1.04","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
. Interpolation with the rational splines of the form ¢y + clx + c22* /(1 + d172) on each subinterval [z;_;,z;] of the grida = 29 < z; < ... < z, = bis considered. The coefficients are determined from a nonlinear system which has a locally unique solution. The convergence of order O(h*) is proved.
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