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

Rachid Ait-Haddou; Ron Goldman

doi:10.1016/j.amc.2015.05.068

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

Rachid Ait-Haddou, Ron Goldman

Computer, Electrical and Mathematical Sciences and Engineering

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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.

Original language	English (US)
Pages (from-to)	267-276
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	266
DOIs	https://doi.org/10.1016/j.amc.2015.05.068
State	Published - Jun 7 2015

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KAUST Repository Item: Exported on 2020-10-01

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2015.05.068

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title = "Best polynomial degree reduction on q-lattices with applications to q-orthogonal polynomials",

abstract = "We show that a weighted least squares approximation of q-B{\'e}zier 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. {\textcopyright} 2015 Elsevier Inc. All rights reserved.",

author = "Rachid Ait-Haddou and Ron Goldman",

note = "KAUST Repository Item: Exported on 2020-10-01",

year = "2015",

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doi = "10.1016/j.amc.2015.05.068",

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AU - Goldman, Ron

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PY - 2015/6/7

Y1 - 2015/6/7

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/564199

UR - https://linkinghub.elsevier.com/retrieve/pii/S009630031500692X

UR - http://www.scopus.com/inward/record.url?scp=84930660313&partnerID=8YFLogxK

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DO - 10.1016/j.amc.2015.05.068

M3 - Article

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SP - 267

EP - 276

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

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

Abstract

Bibliographical note

ASJC Scopus subject areas

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