A generalization of the Bohr-Rogosinski sum

2021/06/11 by Sriram Kumar, Kumar, S., Swadesh Kumar Sahoo +1 · 1 citation
Mathematics · #Advanced Banach Space Theory #Holomorphic and Operator Theory #Approximation Theory and Sequence Spaces

paper · pdf · doi:10.48550/arxiv.2106.06502

Abstract

In this paper, we investigate the Bohr-Rogosinski sum and the classical Bohr sum for analytic functions defined on the unit disk in a general setting. In addition, we discuss a generalization of the Bohr-Rogosinski sum for a class of analytic functions subordinate to the univalent functions in the unit disk. Several well-known results are observed from the consequences of our main results.

Cited by

• Improved Bohr inequalities involving Fréchet derivatives associated with Holomorphic mappings in Banach spaces

Related

• A generalized Bohr-Rogosinski phenomenon
• Bohr--Rogosinski inequalities for bounded analytic functions
• Bohr--Rogosinski radius for analytic functions
• Bohr-type inequalities for unimodular bounded analytic functions
• The Bohr's Phenomenon involving multiple Schwarz functions