Bohr-type inequalities for bounded analytic functions of Schwarz functions

Xiaojun Hu; Qihan Wang; Boyong Long; Xiaojun Hu; Qihan Wang; Boyong Long

doi:10.3934/math.2021791

AIMS Mathematics

2021, Volume 6, Issue 12: 13608-13621. doi: 10.3934/math.2021791

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Research article

Bohr-type inequalities for bounded analytic functions of Schwarz functions

School of Mathematical Sciences, Anhui University, Hefei 230601, China

Received: 30 June 2021 Accepted: 18 September 2021 Published: 24 September 2021
MSC : 30A10, 30C45

In this paper, some new versions of Bohr-type inequalities for bounded analytic functions of Schwarz functions are established. Most of these inequalities are sharp. Some previous inequalities are generalized.
- Bohr radius,
- Bohr-Rogosinski radius,
- Bohr-type inequality,
- Bounded analytic functions,
- Schwarz functions
Citation: Xiaojun Hu, Qihan Wang, Boyong Long. Bohr-type inequalities for bounded analytic functions of Schwarz functions[J]. AIMS Mathematics, 2021, 6(12): 13608-13621. doi: 10.3934/math.2021791

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Abstract

In this paper, some new versions of Bohr-type inequalities for bounded analytic functions of Schwarz functions are established. Most of these inequalities are sharp. Some previous inequalities are generalized.

References

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