Bohr-type inequalities of analytic functions

J Inequal Appl. 2018;2018(1):345. doi: 10.1186/s13660-018-1937-y. Epub 2018 Dec 13.

Abstract

In this paper, we investigate the Bohr-type radii for several different forms of Bohr-type inequalities of analytic functions in the unit disk, we also investigate the Bohr-type radius of the alternating series associated with the Taylor series of analytic functions. We will prove that most of the results are sharp.

Keywords: Bohr radius; Bohr-type radius; Bohr–Rogosinski sum; Bounded analytic function.