{"title":"Direct weighted Lagrange-Yen type interpolation in L/sup 2/([-/spl pi/,/spl pi/]/sup 2/)","authors":"T. K. Pogány, M. Tudor","doi":"10.1109/ITI.2001.938050","DOIUrl":null,"url":null,"abstract":"A bivariate weighted Lagrange-Yen type interpolation formula is derived by means of the Kotel'nikov-Shannon sampling restoration formula for deterministic signals from Paley-Wiener function space L/sup 2/([-/spl pi/,/spl pi/]/sup 2/). The interpolation parameter size is computed with the approximation relative error level and the coordinatewise sample deviations are prescribed, when the sinc-type weight function is used for interpolation convergence rate improvement.","PeriodicalId":375405,"journal":{"name":"Proceedings of the 23rd International Conference on Information Technology Interfaces, 2001. ITI 2001.","volume":"97 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 23rd International Conference on Information Technology Interfaces, 2001. ITI 2001.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ITI.2001.938050","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 bivariate weighted Lagrange-Yen type interpolation formula is derived by means of the Kotel'nikov-Shannon sampling restoration formula for deterministic signals from Paley-Wiener function space L/sup 2/([-/spl pi/,/spl pi/]/sup 2/). The interpolation parameter size is computed with the approximation relative error level and the coordinatewise sample deviations are prescribed, when the sinc-type weight function is used for interpolation convergence rate improvement.
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