Improved Bohr's phenomenon in quasi-subordination classes
Complex Variables
2021-03-25 v2
Abstract
Recently the present authors established refined versions of Bohr's inequality in the case of bounded analytic functions. In this article, we state and prove a generalization of these results in a reformulated "distance form" version and thereby we extend the refined versions of the Bohr inequality for the class of the quasi-subordinations which contains both the classes of majorization and subordination as special cases. As a consequence, we obtain several new results.
Keywords
Cite
@article{arxiv.1909.00780,
title = {Improved Bohr's phenomenon in quasi-subordination classes},
author = {Saminathan Ponnusamy and Ramakrishnan Vijayakumar and Karl-Joachim Wirths},
journal= {arXiv preprint arXiv:1909.00780},
year = {2021}
}
Comments
10 pages