Constrained multi-degree reduction with respect to Jacobi norms

•We study the problem of constrained degree reduction with respect to Jacobi norms.•Our results generalize several previous findings on polynomial degree reduction.•We explore the space of Jacobi parameters on the reduced polynomial approximation.

We show that a weighted least squares approximation of Bézier coefficients with factored Hahn weights provides the best constrained polynomial degree reduction with respect to the Jacobi L2L2-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 L2L2-norm is presented.