Best polynomial degree reduction on q-lattices with applications to q-orthogonal polynomials

Handle URI:
http://hdl.handle.net/10754/564199
Title:
Best polynomial degree reduction on q-lattices with applications to q-orthogonal polynomials
Authors:
Ait-Haddou, Rachid; Goldman, Ron
Abstract:
We show that a weighted least squares approximation of q-Bézier coefficients provides the best polynomial degree reduction in the q-L2-norm. We also provide a finite analogue of this result with respect to finite q-lattices and we present applications of these results to q-orthogonal polynomials. © 2015 Elsevier Inc. All rights reserved.
KAUST Department:
Visual Computing Center (VCC)
Publisher:
Elsevier BV
Journal:
Applied Mathematics and Computation
Issue Date:
7-Jun-2015
DOI:
10.1016/j.amc.2015.05.068
Type:
Article
ISSN:
00963003
Appears in Collections:
Articles; Visual Computing Center (VCC)

Full metadata record

DC FieldValue Language
dc.contributor.authorAit-Haddou, Rachiden
dc.contributor.authorGoldman, Ronen
dc.date.accessioned2015-08-03T12:36:08Zen
dc.date.available2015-08-03T12:36:08Zen
dc.date.issued2015-06-07en
dc.identifier.issn00963003en
dc.identifier.doi10.1016/j.amc.2015.05.068en
dc.identifier.urihttp://hdl.handle.net/10754/564199en
dc.description.abstractWe show that a weighted least squares approximation of q-Bézier coefficients provides the best polynomial degree reduction in the q-L2-norm. We also provide a finite analogue of this result with respect to finite q-lattices and we present applications of these results to q-orthogonal polynomials. © 2015 Elsevier Inc. All rights reserved.en
dc.publisherElsevier BVen
dc.subject(ω|q)-Bernstein basesen
dc.subjectDegree reductionen
dc.subjectDiscrete least squaresen
dc.subjectLittle q-Legendre polynomialsen
dc.subjectq-Bernstein basesen
dc.subjectq-Hahn polynomialsen
dc.titleBest polynomial degree reduction on q-lattices with applications to q-orthogonal polynomialsen
dc.typeArticleen
dc.contributor.departmentVisual Computing Center (VCC)en
dc.identifier.journalApplied Mathematics and Computationen
dc.contributor.institutionDepartment of Computer Science, Rice University, Houston, TX, United Statesen
kaust.authorAit-Haddou, Rachiden
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