| 摘要: |
| 本文主要研究了单位圆内解析自映射及其导函数的Bohr不等式，利用新的系数不等式，建立了导函数的三类新Bohr型不等式，并得到了新Bohr型不等式成立的精确半径，该结果比Bappaditya Bhowmik和Nilanjan Das （arXiv：1911.06597v1[math.CV]，2019.11）的结果更精细. |
| 关键词: 解析函数 导函数 Bohr不等式 Bohr半径 |
| DOI： |
| 分类号:O174.5 |
| 基金项目:国家自然科学基金资助项目（61976104）；广东省自然科学基金（2021A1515010058）. |
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| NEW BOHR-TYPE THEOREMS FOR THE DERIVATIVE FUNCTION OF ANALYTIC FUNCTION |
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LUO Xi1, LIU Ming-sheng2
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1.School of Mathematics, Jiaying University, Meizhou 514015, China;2.School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China
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| Abstract: |
| In the paper, we mainly investigate Bohr-type inequalities for the analytic self-mappings and their derivative functions. By utilizing new coefficients inequalities, we establish three new Bohr-type inequalities, and obtain corresponding sharp Bohr-radius, which refine the results of Bappaditya Bhowmik and Nilanjan Das (arXiv:1911.06597v1[math.CV], November 2019). |
| Key words: analytic function derivative Bohr-type inequality Bohr radius |
