关于Takagi-类函数的近似J-凸性的证明的一个注记
A note on the proof of approximate mid-convexity of Takagi-like function
陈阳洋1
作者信息
- 1. 苏州大学数学科学学院,江苏苏州215006
- 折叠
摘要
指出了J.Tabor等人的文章中关于Takagi-类函数的近似J-凸性的证明中的一个错误,用初等方法建立了一个关于无穷级数的不等式,证明这类连续型不等式在一个稠密集合上成立,提供了证明连续不等式的新方法,并以此给出了一个改进的证明,肯定了Takagi-类函数的近似J-凸性.
Abstract
In this paper, the mistakes of proving the mid-convexity of Takagi-like function in Tabor's paper were pointed out. An inequality concerning infinite series was established through an elementary method. This method can be used in proving similar inequalities. Finally, an improved proof of approximate mid-convexity of Takagi-like function was given.
关键词
Takagi-类函数/J-凸性/改进的证明/不等式Key words
Takagi-like function/mid-convexity/improved proof/inequality引用本文复制引用
基金项目
大学生创新性实验计划项目(111028508)
出版年
2012
NETL
NSTL
维普
万方数据