DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, DH | ko |
dc.contributor.author | Kim, SH | ko |
dc.contributor.author | Kwon, Kil Hyun | ko |
dc.contributor.author | Li, X | ko |
dc.date.accessioned | 2013-03-03T19:18:29Z | - |
dc.date.available | 2013-03-03T19:18:29Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2002 | - |
dc.identifier.citation | CONSTRUCTIVE APPROXIMATION, v.18, no.4, pp.551 - 568 | - |
dc.identifier.issn | 0176-4276 | - |
dc.identifier.uri | http://hdl.handle.net/10203/80068 | - |
dc.description.abstract | We 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.language | English | - |
dc.publisher | SPRINGER-VERLAG | - |
dc.subject | ORTHOGONAL POLYNOMIALS | - |
dc.title | Best polynomial approximation in Sobolev-Laguerre and Sobolev-Legendre spaces | - |
dc.type | Article | - |
dc.identifier.wosid | 000177703400005 | - |
dc.identifier.scopusid | 2-s2.0-0035982985 | - |
dc.type.rims | ART | - |
dc.citation.volume | 18 | - |
dc.citation.issue | 4 | - |
dc.citation.beginningpage | 551 | - |
dc.citation.endingpage | 568 | - |
dc.citation.publicationname | CONSTRUCTIVE APPROXIMATION | - |
dc.contributor.localauthor | Kwon, Kil Hyun | - |
dc.contributor.nonIdAuthor | Kim, DH | - |
dc.contributor.nonIdAuthor | Kim, SH | - |
dc.contributor.nonIdAuthor | Li, X | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | best polynomial approximation | - |
dc.subject.keywordAuthor | orthogonal polynomials | - |
dc.subject.keywordPlus | ORTHOGONAL POLYNOMIALS | - |
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