Abstract
In this paper, we establish several new versions of Bohr-type inequalities for bounded analytic functions in the unit disk by allowing \(\varphi =\{\varphi _n(r)\}^{\infty }_{n=0}\) in place of the \(\{r^n\}^{\infty }_{n=0}\) in the power series representations of the functions involved with the Bohr sum and thereby introducing a single parameter, which generalize several related results of earlier authors.
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This research of the first two authors are partly supported by Guangdong Natural Science Foundations (Grant No. 2021A1515010058).
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Chen, K., Liu, MS. & Ponnusamy, S. Bohr-Type Inequalities for Unimodular Bounded Analytic Functions. Results Math 78, 183 (2023). https://doi.org/10.1007/s00025-023-01958-8
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DOI: https://doi.org/10.1007/s00025-023-01958-8