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Refined Bohr inequality for bounded analytic functions

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成果类型:
期刊论文
作者:
Liu, Gang;Liu, Zhihong;Ponnusamy, Saminathan
通讯作者:
Saminathan Ponnusamy
作者机构:
[Liu, Gang] Hengyang Normal Univ, Hunan Prov Key Lab Intelligent Informat Proc & Ap, Coll Math & Stat, Hengyang 421002, Hunan, Peoples R China.
[Liu, Zhihong] Guilin Univ Technol, Coll Sci, Guilin 541004, Guangxi, Peoples R China.
[Ponnusamy, Saminathan] Indian Inst Technol Madras, Dept Math, Chennai 600036, Tamil Nadu, India.
通讯机构:
[Saminathan Ponnusamy] D
Department of Mathematics, Indian Institute of Technology Madras, Chennai-600 036, India
语种:
英文
关键词:
Bohr inequality;Bohr radius;Bohr-Rogosinski inequality;Bounded analytic function;Symmetric function
期刊:
BULLETIN DES SCIENCES MATHEMATIQUES
ISSN:
0007-4497
年:
2021
卷:
173
页码:
103054
基金类别:
The research was partly supported by National Natural Science Foundation of China (No. 12071116 ), the Hunan Provincial Education Department Outstanding Youth Project (No. 19B079 ), the Hunan Provincial Natural Science Foundation of China (No. 2021JJ30057 ), the Science and Technology Plan Project of Hunan Province (No. 2016TP1020 ) and the Application-Oriented Characterized Disciplines, Double First-Class University Project of Hunan Province ( Xiangjiaotong [2018]469 ). The second author was supported by the National Natural Science Foundation of China (No. 11961013 ) and the Natural Science Foundation of Guangxi Province (No. 2018GXNS-FAA050005 ). The work of the third author is supported by Mathematical Research Impact Centric Support (MATRICS) of the Department of Science and Technology ( DST ), India ( MTR/2017/000367 ). The authors would like to thank the referee for his/her valuable comments for improving this paper.
机构署名:
本校为第一机构
院系归属:
数学与统计学院
物理与电子工程学院
摘要:
In this article, by combining appropriate refined Bohr's inequalities with some techniques concerning bounded analytic functions defined in the unit disk, we generalize and improve several Bohr-type inequalities for such functions. (C) 2021 Elsevier Ma...

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