| Banach空间上Ptolemy常数的计算 |
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| 引用本文： | 左占飞. Banach空间上Ptolemy常数的计算[J]. 数学学报, 2018, 61(6): 991-996 |
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| 作者姓名： | 左占飞 |
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| 作者单位： | 1. 重庆三峡学院数学与统计学院 重庆 404100;2. 重庆三峡学院智能信息处理与控制重点实验室 重庆 404100 |
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| 基金项目： | 2018年度重庆市教委科学技术研究计划项目；重庆市高校市级重点实验室资助项目（[2017]3）；重庆市科技新星培育工程（KJXX2017012）；重庆三峡学院重大培育项目（16PY11）；重庆三峡学院非线性科学与系统结构重点实验室面上项目 |
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| 摘 要： | 利用绝对正规范数生成凸函数的关系,给出了加权平均范数空间上Ptolemy常数的取值,解决了一些文献的遗留问题,并在一些具体的空间上给出了Ptolemy常数的新结果.
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On the Ptolemy Constant of Some Concrete Banach Spaces |
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| Zhan Fei ZUO. On the Ptolemy Constant of Some Concrete Banach Spaces[J]. Acta Mathematica Sinica, 2018, 61(6): 991-996 |
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| Authors: | Zhan Fei ZUO |
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| Affiliation: | 1. Department of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing 404100, P. R. China;2. Key Laboratory of Intelligent Information Processing and Control Chongqing Three Gorges University, Chongqing 404100, P. R. China |
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| Abstract: | We determine the Ptolemy constant when norm is a mean of two norms by means of their corresponding continuous convex functions. The new results which not only contain the previous results, but also give some new results in some concrete Banach spaces. |
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| Keywords: | Ptolemy constant absolute normalized norm convex function |
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