Sharpness in Bohr's Inequality
Complex Variables
2024-09-27 v1
Abstract
We make a careful analysis of Bohr's inequality, in the line started by Kayumov and Ponnusamy, where some extra summand (depending on the function) is added in the right-hand side of the inequality. We analyse the inequality when smaller radius are taken, giving sharp constants. As a result of this point of view, some previous results are improved.
Keywords
Cite
@article{arxiv.2409.17762,
title = {Sharpness in Bohr's Inequality},
author = {Mario Guillén and Pablo Sevilla-Peris},
journal= {arXiv preprint arXiv:2409.17762},
year = {2024}
}
Comments
12 pages, 10 figures