DC Field | Value | Language |
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dc.contributor.author | Kwon, Kil Hyun | ko |
dc.contributor.author | Lee, DW | ko |
dc.date.accessioned | 2013-03-04T08:28:32Z | - |
dc.date.available | 2013-03-04T08:28:32Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2004-06 | - |
dc.identifier.citation | JOURNAL OF APPROXIMATION THEORY, v.128, pp.175 - 186 | - |
dc.identifier.issn | 0021-9045 | - |
dc.identifier.uri | http://hdl.handle.net/10203/82170 | - |
dc.description.abstract | For a positive Borel measure dmu, we prove that the constant gamma(n) (dv; dy) := (pi is an element ofPn\{0})sup integral-(infinity)(infinity) pi(2) (x)dmu(x)/<(&INT;-(infinity)(&INFIN;))over bar> pi(2) (x) dmu (x), can be represented by the zeros of orthogonal polynomials corresponding to dy in case (i) dv(x) = (A + Bx)dmu(x), where A + Bx is nonnegative on the support of dmu and (ii) dv(x) = (A + Bx(2))dmu(x), where dy is symmetric and A + Bx(2) is nonnegative on the support of dy. The extremal polynomials attaining the constant are obtained and some concrete examples are given including Markov-type inequality when dy is a measure for Jacobi polynomials. (C) 2004 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | Inequalities of Rafalson type for algebraic polynomials | - |
dc.type | Article | - |
dc.identifier.wosid | 000222401300004 | - |
dc.identifier.scopusid | 2-s2.0-3543078714 | - |
dc.type.rims | ART | - |
dc.citation.volume | 128 | - |
dc.citation.beginningpage | 175 | - |
dc.citation.endingpage | 186 | - |
dc.citation.publicationname | JOURNAL OF APPROXIMATION THEORY | - |
dc.identifier.doi | 10.1016/j.jat.2004.04.009 | - |
dc.contributor.localauthor | Kwon, Kil Hyun | - |
dc.contributor.nonIdAuthor | Lee, DW | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | inequalities of Rafalson type | - |
dc.subject.keywordAuthor | orthogonal polynomials | - |
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