{"title":"CHEBYSHEV APPROXIMATION MULTIVARIABLE FUNCTIONS BY THE RATIONAL EXPRESSION WITH THE INTERPOLATION","authors":"P. Malachivskyy, L. Melnychok, Y. Pizyur","doi":"10.17721/2706-9699.2022.2.09","DOIUrl":null,"url":null,"abstract":"A method for constructing the Chebyshev approximation by the rational expression of the multivariable functions with the interpolation is proposed. The method is based on the construction of the ultimate mean-power approximation by a rational expression with the interpolation condition in the norm of space $L_p$ at $p \\to \\infty$. To construct such an approximation, an iterative scheme based on the least squares method with two variable weight functions was used.","PeriodicalId":40347,"journal":{"name":"Journal of Numerical and Applied Mathematics","volume":"41 1","pages":""},"PeriodicalIF":0.1000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Numerical and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17721/2706-9699.2022.2.09","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
A method for constructing the Chebyshev approximation by the rational expression of the multivariable functions with the interpolation is proposed. The method is based on the construction of the ultimate mean-power approximation by a rational expression with the interpolation condition in the norm of space $L_p$ at $p \to \infty$. To construct such an approximation, an iterative scheme based on the least squares method with two variable weight functions was used.
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