A sharpening of a problem on Bernstein polynomials and convex functions
Classical Analysis and ODEs
2017-07-04 v1
Abstract
We present an elementary proof of a conjecture proposed by I. Rasa in 2017 which is an inequality involving Bernstein basis polynomials and convex functions. It was affirmed in positive by A. Komisarski and T. Rajba very recently by the use of stochastic convex orderings.
Cite
@article{arxiv.1707.00127,
title = {A sharpening of a problem on Bernstein polynomials and convex functions},
author = {Ulrich Abel and Ioan Rasa},
journal= {arXiv preprint arXiv:1707.00127},
year = {2017}
}