Differential-recurrence properties of dual Bernstein polynomials
Numerical Analysis
2018-06-19 v2
Abstract
New differential-recurrence properties of dual Bernstein polynomials are given which follow from relations between dual Bernstein and orthogonal Hahn and Jacobi polynomials. Using these results, a fourth-order differential equation satisfied by dual Bernstein polynomials has been constructed. Also, a fourth-order recurrence relation for these polynomials has been obtained; this result may be useful in the efficient solution of some computational problems.
Cite
@article{arxiv.1803.01735,
title = {Differential-recurrence properties of dual Bernstein polynomials},
author = {Filip Chudy and Paweł Woźny},
journal= {arXiv preprint arXiv:1803.01735},
year = {2018}
}