Some Bohr-type inequalities with two parameters for bounded analytic functions

TL;DR

This paper generalizes Bohr inequalities for bounded analytic functions on the unit disk to include two parameters, providing new sharp results that extend classical inequalities in complex analysis.

Contribution

It introduces a two-parameter generalization of Bohr inequalities for bounded analytic functions, including a sharp result that broadens the classical understanding.

Findings

Derived generalized Bohr inequalities with two parameters

Established a sharp form of the inequality

Extended classical results in complex analysis

Abstract

In this article, some Bohr inequalities for analytical functions on the unit disk are generalized to the forms with two parameters. One of our results is sharp.