Continuous and discrete best polynomial degree reduction with Jacobi and Hahn weights

Handle URI:
http://hdl.handle.net/10754/600525
Title:
Continuous and discrete best polynomial degree reduction with Jacobi and Hahn weights
Authors:
Ait-Haddou, Rachid
Abstract:
We 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.
KAUST Department:
Visual Computing Center (VCC)
Citation:
Continuous and discrete best polynomial degree reduction with Jacobi and Hahn weights 2016 Journal of Approximation Theory
Publisher:
Elsevier BV
Journal:
Journal of Approximation Theory
Issue Date:
2-Mar-2016
DOI:
10.1016/j.jat.2016.02.018
Type:
Article
ISSN:
00219045
Additional Links:
http://linkinghub.elsevier.com/retrieve/pii/S0021904516000411
Appears in Collections:
Articles; Visual Computing Center (VCC)

Full metadata record

DC FieldValue Language
dc.contributor.authorAit-Haddou, Rachiden
dc.date.accessioned2016-03-03T12:29:40Zen
dc.date.available2016-03-03T12:29:40Zen
dc.date.issued2016-03-02en
dc.identifier.citationContinuous and discrete best polynomial degree reduction with Jacobi and Hahn weights 2016 Journal of Approximation Theoryen
dc.identifier.issn00219045en
dc.identifier.doi10.1016/j.jat.2016.02.018en
dc.identifier.urihttp://hdl.handle.net/10754/600525en
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.en
dc.language.isoenen
dc.publisherElsevier BVen
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S0021904516000411en
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.2016.02.018en
dc.subjectDegree reductionen
dc.subjectDiscrete least squaresen
dc.subjectBézier curvesen
dc.subjecthh-Bézier curvesen
dc.subjectJacobi orthogonal polynomialsen
dc.subjectHahn orthogonal polynomialsen
dc.titleContinuous and discrete best polynomial degree reduction with Jacobi and Hahn weightsen
dc.typeArticleen
dc.contributor.departmentVisual Computing Center (VCC)en
dc.identifier.journalJournal of Approximation Theoryen
dc.eprint.versionPost-printen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
kaust.authorAit-Haddou, Rachiden
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