Approximations of generalized Bernstein functions
Classical Analysis and ODEs
2024-09-05 v1
Abstract
We establish sharp inequalities involving the incomplete Beta and Gamma functions. These inequalities arise in the approximation of generalized Bernstein functions by higher order Thorin-Bernstein functions. Furthermore, new properties of a related function, namely are derived.
Cite
@article{arxiv.2409.02536,
title = {Approximations of generalized Bernstein functions},
author = {Stamatis Koumandos and Henrik Laurberg Pedersen},
journal= {arXiv preprint arXiv:2409.02536},
year = {2024}
}
Comments
19 pages