Best polynomial approximation in Sobolev-Laguerre and Sobolev-Legendre spaces

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dc.contributor.authorKim, DHko
dc.contributor.authorKim, SHko
dc.contributor.authorKwon, Kil Hyunko
dc.contributor.authorLi, Xko
dc.date.accessioned2013-03-03T19:18:29Z-
dc.date.available2013-03-03T19:18:29Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2002-
dc.identifier.citationCONSTRUCTIVE APPROXIMATION, v.18, no.4, pp.551 - 568-
dc.identifier.issn0176-4276-
dc.identifier.urihttp://hdl.handle.net/10203/80068-
dc.description.abstractWe investigate limiting behavior as gamma tends to infinity of the best polynomial approximations in the Sobolev-Laguerre space W-N,W-2([0, infinity); e(-x)) and the Sobolev-Legendre space W-N,W-2([-1, 1]) with respect to the Sobolev-Laguerre inner-product phi(f,g): = Sigma(k=0)(N-1)a(k) integral(0)(infinity) f((k))(x)g((k))(x)e(-x) dx + gamma integral(0)(infinity) f((N))(x)g((N))(x)e(-x) dx and with respect to the Sobolev-Legendre inner product phi(1)(f,g): = Sigma(k=0)(N-1)a(k) integral(-1)(1) f((k))(x)g((k))(x) dx + gamma integral(-1)(1) f((N))(x)g((N))(x)dx, respectively, where a(0) = 1, a(k) greater than or equal to 0, 1 less than or equal to k less than or equal to N - 1, gamma > 0, and N greater than or equal to 1 is an integer.-
dc.languageEnglish-
dc.publisherSPRINGER-VERLAG-
dc.subjectORTHOGONAL POLYNOMIALS-
dc.titleBest polynomial approximation in Sobolev-Laguerre and Sobolev-Legendre spaces-
dc.typeArticle-
dc.identifier.wosid000177703400005-
dc.identifier.scopusid2-s2.0-0035982985-
dc.type.rimsART-
dc.citation.volume18-
dc.citation.issue4-
dc.citation.beginningpage551-
dc.citation.endingpage568-
dc.citation.publicationnameCONSTRUCTIVE APPROXIMATION-
dc.contributor.localauthorKwon, Kil Hyun-
dc.contributor.nonIdAuthorKim, DH-
dc.contributor.nonIdAuthorKim, SH-
dc.contributor.nonIdAuthorLi, X-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorbest polynomial approximation-
dc.subject.keywordAuthororthogonal polynomials-
dc.subject.keywordPlusORTHOGONAL POLYNOMIALS-
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