Constrained Multi-Degree Reduction With Respect To Jacobi Norms

We show that a weighted least squares approximation of Bezier coefficients with factored Hahn weights provides the best constrained polynomial degree reduction with respect to the Jacobi L-2-norm. This result affords generalizations to many previous findings in the field of polynomial degree reduction. A solution method to the constrained multi-degree reduction with respect to the Jacobi L-2-norm is presented. (C) 2015 Elsevier B.V. All rights reserved.