{"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}
引用次数: 1
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.