Shape preserving properties of the Bernstein polynomials with integer coefficients
Classical Analysis and ODEs
2020-06-29 v2
Abstract
The Bernstein polynomials with integer coefficients do not generally preserve monotonicity and convexity. We establish sufficient conditions under which they do. We also observe that they are asymptotically shape preserving.
Cite
@article{arxiv.2005.08692,
title = {Shape preserving properties of the Bernstein polynomials with integer coefficients},
author = {Borislav R. Draganov},
journal= {arXiv preprint arXiv:2005.08692},
year = {2020}
}