Several generalized Bohr-type inequalities with two parameters

TL;DR

This paper extends classical Bohr-type inequalities to a two-parameter form for bounded analytic functions, providing several sharp results that enhance the understanding of these inequalities.

Contribution

It introduces a generalized two-parameter framework for Bohr inequalities, with most results proven to be sharp, advancing the theoretical landscape.

Findings

Multiple sharp two-parameter Bohr inequalities established

Generalizations applicable to bounded analytic functions

Enhanced bounds improve previous results

Abstract

In this paper, several Bohr-type inequalities are generalized to the form with two parameters for the bounded analytic function. Most of the results are sharp.