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

Author

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  • 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.

Suggested Citation

  • Ait-Haddou, Rachid & Goldman, Ron, 2015. "Best polynomial degree reduction on q-lattices with applications to q-orthogonal polynomials," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 267-276.
  • Handle: RePEc:eee:apmaco:v:266:y:2015:i:c:p:267-276
    DOI: 10.1016/j.amc.2015.05.068
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