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dc.contributor.authorAit-Haddou, Rachid
dc.date.accessioned2016-03-03T12:29:40Z
dc.date.available2016-03-03T12:29:40Z
dc.date.issued2016-03-02
dc.identifier.citationContinuous and discrete best polynomial degree reduction with Jacobi and Hahn weights 2016 Journal of Approximation Theory
dc.identifier.issn00219045
dc.identifier.doi10.1016/j.jat.2016.02.018
dc.identifier.urihttp://hdl.handle.net/10754/600525
dc.description.abstractWe show that the weighted least squares approximation of Bézier coefficients with Hahn weights provides the best polynomial degree reduction in the Jacobi L2L2-norm. A discrete analogue of this result is also provided. Applications to Jacobi and Hahn orthogonal polynomials are presented.
dc.language.isoen
dc.publisherElsevier BV
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S0021904516000411
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Journal of Approximation Theory. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published inJournal of Approximation Theory, 2 March 2016. DOI: 10.1016/j.jat.2016.02.018
dc.subjectDegree reduction
dc.subjectDiscrete least squares
dc.subjectBézier curves
dc.subjecthh-Bézier curves
dc.subjectJacobi orthogonal polynomials
dc.subjectHahn orthogonal polynomials
dc.titleContinuous and discrete best polynomial degree reduction with Jacobi and Hahn weights
dc.typeArticle
dc.contributor.departmentVisual Computing Center (VCC)
dc.identifier.journalJournal of Approximation Theory
dc.eprint.versionPost-print
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)
kaust.personAit-Haddou, Rachid
refterms.dateFOA2018-03-02T00:00:00Z
dc.date.published-online2016-03-02
dc.date.published-print2016-07


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