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

Rachid Ait-Haddou and Ron Goldman

Applied Mathematics and Computation, 2015, vol. 266, issue C, 267-276

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.

Keywords: Degree reduction; q-Bernstein bases; (ω|q)-Bernstein bases; Discrete least squares; Little q-Legendre polynomials; q-Hahn polynomials (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:266:y:2015:i:c:p:267-276

DOI: 10.1016/j.amc.2015.05.068

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