A note on mean convergence of Lagrange interpolation in L-p (0 < p <= 1)

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dc.contributor.authorDamelin, SBko
dc.contributor.authorJung, HSko
dc.contributor.authorKwon, Kil Hyunko
dc.date.accessioned2013-03-04T01:16:31Z-
dc.date.available2013-03-04T01:16:31Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2001-08-
dc.identifier.citationJOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, v.133, no.1-2, pp.277 - 282-
dc.identifier.issn0377-0427-
dc.identifier.urihttp://hdl.handle.net/10203/81254-
dc.description.abstractLet w:= exp(-Q), where Q is of faster than smooth polynomial growth at infinity, for example, w(k,x)(x):= exp(-exp(k)(/x/(x))), alpha &gt; 1. We obtain a necessary and sufficient condition for mean convergence of Lagrange interpolation for such weights in L-p (0 &lt; p less than or equal to 1) completing earlier investigations by the first author and D.S. Lubinsky in L-p (1 &lt; p &lt; infinity). (C) 2001 Elsevier Science B.V. All rights reserved.-
dc.languageEnglish-
dc.publisherELSEVIER SCIENCE BV-
dc.subjectSUFFICIENT CONDITIONS-
dc.subjectERDOS WEIGHTS-
dc.titleA note on mean convergence of Lagrange interpolation in L-p (0 &lt; p &lt;= 1)-
dc.typeArticle-
dc.identifier.wosid000170613700022-
dc.identifier.scopusid2-s2.0-0035417819-
dc.type.rimsART-
dc.citation.volume133-
dc.citation.issue1-2-
dc.citation.beginningpage277-
dc.citation.endingpage282-
dc.citation.publicationnameJOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS-
dc.contributor.localauthorKwon, Kil Hyun-
dc.contributor.nonIdAuthorDamelin, SB-
dc.contributor.nonIdAuthorJung, HS-
dc.type.journalArticleArticle; Proceedings Paper-
dc.subject.keywordAuthorErdos weight-
dc.subject.keywordAuthorLagrange interpolation-
dc.subject.keywordAuthormean convergence-
dc.subject.keywordAuthororthonormal polynomial-
dc.subject.keywordAuthorweighted approximation-
dc.subject.keywordPlusSUFFICIENT CONDITIONS-
dc.subject.keywordPlusERDOS WEIGHTS-
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