Best polynomial degree reduction on q-lattices with application to q-orthogonal polynomials
R. Ait-Haddou, R. Goldman
Applied Mathematics and Computation, 266, 267-276, (2015)
Degree reduction, q-Bernstein bases, (|q)-Bernstein bases, Discrete least squares, Little q-Legendre polynomials, q-Hahn polynomials
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.
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