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Necessary conditions of convergence of Hermite-Fejer interpolation polynomials for exponential weights

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dc.contributor.authorJung, HSko
dc.date.accessioned2013-03-07T08:01:48Z-
dc.date.available2013-03-07T08:01:48Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2005-09-
dc.identifier.citationJOURNAL OF APPROXIMATION THEORY, v.136, no.1, pp.26 - 44-
dc.identifier.issn0021-9045-
dc.identifier.urihttp://hdl.handle.net/10203/89753-
dc.description.abstractThis paper gives the conditions necessary for weighted convergence of Hermite-Fejer interpolation for a general class of even weights which are of exponential decay on the real line or at the end points of (-1, 1). The results of this paper guarantee that the conditions of Theorem 2.3 in [11] are optimal.-
dc.languageEnglish-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.subjectPRODUCT INTEGRATION RULES-
dc.subjectLAGRANGE INTERPOLATION-
dc.subjectMEAN CONVERGENCE-
dc.subjectERDOS WEIGHTS-
dc.subjectFREUD WEIGHTS-
dc.subjectORTHONORMAL POLYNOMIALS-
dc.subjectREAL LINE-
dc.subjectORTHOGONAL POLYNOMIALS-
dc.subjectSUFFICIENT CONDITIONS-
dc.subjectL-P-
dc.titleNecessary conditions of convergence of Hermite-Fejer interpolation polynomials for exponential weights-
dc.typeArticle-
dc.identifier.wosid000231889400003-
dc.identifier.scopusid2-s2.0-24144478554-
dc.type.rimsART-
dc.citation.volume136-
dc.citation.issue1-
dc.citation.beginningpage26-
dc.citation.endingpage44-
dc.citation.publicationnameJOURNAL OF APPROXIMATION THEORY-
dc.identifier.doi10.1016/j.jat.2005.04.013-
dc.type.journalArticleArticle-
dc.subject.keywordPlusPRODUCT INTEGRATION RULES-
dc.subject.keywordPlusLAGRANGE INTERPOLATION-
dc.subject.keywordPlusMEAN CONVERGENCE-
dc.subject.keywordPlusERDOS WEIGHTS-
dc.subject.keywordPlusFREUD WEIGHTS-
dc.subject.keywordPlusORTHONORMAL POLYNOMIALS-
dc.subject.keywordPlusREAL LINE-
dc.subject.keywordPlusORTHOGONAL POLYNOMIALS-
dc.subject.keywordPlusSUFFICIENT CONDITIONS-
dc.subject.keywordPlusL-P-
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