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A study on multivariate interpolation by increasingly flat kernel functions

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dc.contributor.authorLee, Yeon Ju-
dc.contributor.authorMicchelli, Charles A.-
dc.contributor.authorYoon, Jungho-
dc.date.accessioned2021-09-04T14:22:45Z-
dc.date.available2021-09-04T14:22:45Z-
dc.date.created2021-06-16-
dc.date.issued2015-07-01-
dc.identifier.issn0022-247X-
dc.identifier.urihttps://scholar.korea.ac.kr/handle/2021.sw.korea/93049-
dc.description.abstractIn this paper, we improve upon some observations made in recent papers on the subject of increasingly flat interpolation. We shall establish that the corresponding Lagrange functions converge both for a finite set of functions (collocation matrix) and also for kernels (Fredholm matrix). In our analysis, we use a finite Maclaurin expansion of a multivariate function with remainder and some additional matrix theoretic facts. (C) 2015 Elsevier Inc. All rights reserved.-
dc.languageEnglish-
dc.language.isoen-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.subjectRADIAL BASIS FUNCTION-
dc.subjectCONVERGENCE-
dc.subjectLIMIT-
dc.titleA study on multivariate interpolation by increasingly flat kernel functions-
dc.typeArticle-
dc.contributor.affiliatedAuthorLee, Yeon Ju-
dc.identifier.doi10.1016/j.jmaa.2015.02.006-
dc.identifier.scopusid2-s2.0-84924050402-
dc.identifier.wosid000359873000006-
dc.identifier.bibliographicCitationJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.427, no.1, pp.74 - 87-
dc.relation.isPartOfJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS-
dc.citation.titleJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS-
dc.citation.volume427-
dc.citation.number1-
dc.citation.startPage74-
dc.citation.endPage87-
dc.type.rimsART-
dc.type.docTypeArticle-
dc.description.journalClass1-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalResearchAreaMathematics-
dc.relation.journalWebOfScienceCategoryMathematics, Applied-
dc.relation.journalWebOfScienceCategoryMathematics-
dc.subject.keywordPlusRADIAL BASIS FUNCTION-
dc.subject.keywordPlusCONVERGENCE-
dc.subject.keywordPlusLIMIT-
dc.subject.keywordAuthorCollocation matrix-
dc.subject.keywordAuthorWronskian-
dc.subject.keywordAuthorMultivariate kernel interpolation-
dc.subject.keywordAuthorCauchy-Binet formula-
dc.subject.keywordAuthorRadial basis function-
dc.subject.keywordAuthorl&apos-
dc.subject.keywordAuthorHospital&apos-
dc.subject.keywordAuthors rule-
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