Bernstein-type inequalities for mean $n$-valent functions
Complex Variables
2024-10-08 v1 Functional Analysis
Abstract
We derive new integral estimates of the derivatives of mean -valent functions in the unit disk. Our results develop and complement estimates obtained by E.P. Dolzhenko and A.A. Pekarskii, as well as recent inequalities obtained by the authors. As an application, we improve some inverse theorems of rational approximation due to Dolzhenko.
Cite
@article{arxiv.2410.04308,
title = {Bernstein-type inequalities for mean $n$-valent functions},
author = {Anton Baranov and Ilgiz Kayumov and Rachid Zarouf},
journal= {arXiv preprint arXiv:2410.04308},
year = {2024}
}
Comments
14 pages