TY - JOUR
T1 - Best polynomial degree reduction on q-lattices with applications to q-orthogonal polynomials
AU - Ait-Haddou, Rachid
AU - Goldman, Ron
N1 - KAUST Repository Item: Exported on 2020-10-01
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
U2 - 10.1016/j.amc.2015.05.068
DO - 10.1016/j.amc.2015.05.068
M3 - Article
SN - 0096-3003
VL - 266
SP - 267
EP - 276
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
ER -