DC Field | Value | Language |
---|---|---|
dc.contributor.author | Damelin, SB | ko |
dc.contributor.author | Jung, HS | ko |
dc.contributor.author | Kwon, Kil Hyun | ko |
dc.date.accessioned | 2013-03-04T17:27:32Z | - |
dc.date.available | 2013-03-04T17:27:32Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2003-03 | - |
dc.identifier.citation | ACTA APPLICANDAE MATHEMATICAE, v.76, pp.17 - 36 | - |
dc.identifier.issn | 0167-8019 | - |
dc.identifier.uri | http://hdl.handle.net/10203/83454 | - |
dc.description.abstract | In this paper, we complete our investigations of mean convergence of Lagrange interpolation for fast decaying even and smooth exponential weights on the line. In doing so, we also present a summary of recent related work on the line and [-1, 1] by the authors, Szabados, Vertesi, Lubinsky and Matjila. We also emphasize the important and fundamental ideas, applied in our proofs, that were developed by Erdos, Turan, Askey, Freud, Nevai, Szabados, Vertesi and their students and collaborators. These methods include forward quadrature estimates, orthogonal expansions, Hilbert transforms, bounds on Lebesgue functions and the uniform boundedness principle. | - |
dc.language | English | - |
dc.publisher | SPRINGER | - |
dc.subject | HERMITE-FEJER INTERPOLATION | - |
dc.subject | ERDOS WEIGHTS | - |
dc.subject | SUFFICIENT CONDITIONS | - |
dc.subject | LEBESGUE FUNCTION | - |
dc.subject | FREUD WEIGHTS | - |
dc.subject | REAL LINE | - |
dc.subject | ORTHOGONAL POLYNOMIALS | - |
dc.subject | L-P | - |
dc.title | Mean convergence of extended Lagrange interpolation for exponential weights | - |
dc.type | Article | - |
dc.identifier.wosid | 000181690200002 | - |
dc.identifier.scopusid | 2-s2.0-0037359195 | - |
dc.type.rims | ART | - |
dc.citation.volume | 76 | - |
dc.citation.beginningpage | 17 | - |
dc.citation.endingpage | 36 | - |
dc.citation.publicationname | ACTA APPLICANDAE MATHEMATICAE | - |
dc.contributor.localauthor | Kwon, Kil Hyun | - |
dc.contributor.nonIdAuthor | Damelin, SB | - |
dc.contributor.nonIdAuthor | Jung, HS | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Lagrange interpolation | - |
dc.subject.keywordAuthor | mean convergence | - |
dc.subject.keywordAuthor | orthonormal polynomial | - |
dc.subject.keywordAuthor | weighted approximation | - |
dc.subject.keywordPlus | HERMITE-FEJER INTERPOLATION | - |
dc.subject.keywordPlus | ERDOS WEIGHTS | - |
dc.subject.keywordPlus | ORTHOGONAL POLYNOMIALS | - |
dc.subject.keywordPlus | SUFFICIENT CONDITIONS | - |
dc.subject.keywordPlus | LEBESGUE FUNCTION | - |
dc.subject.keywordPlus | FREUD WEIGHTS | - |
dc.subject.keywordPlus | REAL LINE | - |
dc.subject.keywordPlus | L-P | - |
dc.subject.keywordPlus | ARRAYS | - |
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