DC Field | Value | Language |
---|---|---|
dc.contributor.author | Jung H.S. | ko |
dc.date.accessioned | 2013-03-03T20:18:45Z | - |
dc.date.available | 2013-03-03T20:18:45Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2004 | - |
dc.identifier.citation | JOURNAL OF APPROXIMATION THEORY, v.127, no.2, pp.155 - 177 | - |
dc.identifier.issn | 0021-9045 | - |
dc.identifier.uri | http://hdl.handle.net/10203/80267 | - |
dc.description.abstract | Let w(lambda)(x) := (1 - x(2))(lambda-1/2) and P-n((lambda)) be the ultraspherical polynomials with respect to w(lambda)(x). Then we denote E-n+1((lambda)) the Stieltjes polynomials with respect to w(lambda)(x) satisfying [GRAPHICS] In this paper, we give estimates for the first and second derivatives of the Stieltjes polynomials E-n+1((lambda)) and the product E-n+1((lambda)) P-n((lambda)) by obtaining the asymptotic differential relations. Moreover, using these differential relations we estimate the second derivatives of E-n+1((lambda)) (x) and E-n+1((lambda)) (x) P-n((lambda)) (x) at the zeros of E-n+1((lambda)) (x) and the product E-n+1((lambda)) (x)P-n((lambda)) (x), respectively. (C) 2004 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.subject | GAUSS-KRONROD QUADRATURE | - |
dc.subject | LAGRANGE INTERPOLATION | - |
dc.subject | FORMULAS | - |
dc.subject | ERROR | - |
dc.title | Estimates for the first and second derivatives of the Stieltjes polynomials | - |
dc.type | Article | - |
dc.identifier.wosid | 000221672200002 | - |
dc.identifier.scopusid | 2-s2.0-2942696158 | - |
dc.type.rims | ART | - |
dc.citation.volume | 127 | - |
dc.citation.issue | 2 | - |
dc.citation.beginningpage | 155 | - |
dc.citation.endingpage | 177 | - |
dc.citation.publicationname | JOURNAL OF APPROXIMATION THEORY | - |
dc.identifier.doi | 10.1016/j.jat.2004.02.004 | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Stieltjes polynomials | - |
dc.subject.keywordAuthor | ultraspherical polynomials | - |
dc.subject.keywordAuthor | asymptotic differential relations | - |
dc.subject.keywordPlus | GAUSS-KRONROD QUADRATURE | - |
dc.subject.keywordPlus | LAGRANGE INTERPOLATION | - |
dc.subject.keywordPlus | FORMULAS | - |
dc.subject.keywordPlus | ERROR | - |
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