Refined Bohr inequality for bounded analytic functions

Abstract

In this article, by combining appropriate refined Bohr's inequalities with some techniques concerning bounded analytic functions defined in the unit disk, we generalize and improve several Bohr type inequalities for such functions.

16 pages. With the journal since Dec. 2019

References in corpus (2)

• On the Bohr inequality
• Bohr--Rogosinski radius for analytic functions

Cited by in corpus (8)

• Bohr inequalities for certain integral operators
• Bohr inequalities for unimodular bounded functions on simply connected domains
• Bohr-Rogosinski and improved Bohr type inequalities for certain fully starlike harmonic mappings
• Multidimensional analogues of refined Bohr's inequality
• Bohr radius for certain close-to-convex harmonic mappings
• Refined Bohr-type inequalities with area measure for bounded analytic functions
• A generalization of the Bohr-Rogosinski sum
• The Bohr-type operator on analytic functions and sections