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

作者：

Highlights：

• We study the best polynomial degree reduction with respect to the q-L2-norm.

• We study a finite analogue with respect to finite q-lattices.

• We present applications to q-orthogonal polynomials.

摘要

•We study the best polynomial degree reduction with respect to the q-L2-norm.•We study a finite analogue with respect to finite q-lattices.•We present applications to q-orthogonal polynomials.

论文关键词：Degree reduction,q-Bernstein bases,(ω|q)-Bernstein bases,Discrete least squares,Little q-Legendre polynomials,q-Hahn polynomials

论文评审过程：Received 2 March 2015, Revised 11 May 2015, Accepted 15 May 2015, Available online 7 June 2015, Version of Record 7 June 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.05.068