The Bohr-type operator on analytic functions and sections

Abstract

In this paper, firstly we prove two refined Bohr-type inequalities associated with area for bounded analytic functions $f(z)={\sum }_{n=0}^{\infty }{a}_n{z}^n$ in the unit disk. Later, we establish the Bohr-type operator on analytic functions and sections.

14 pages

References in corpus (4)

• Bohr--Rogosinski radius for analytic functions
• Refined Bohr inequality for bounded analytic functions
• Bohr operator on analytic functions
• A note on the Bohr inequality