摘要
Ou-Pan(2010)引入了k阶宽度函数对Chernoff不等式进行了推广,本文受Ou-Pan的启发,给出平面闭凸曲线的一个新的几何不等式,进一步推广了Ou-Pan的结论,同时给等周不等式的证明提供了一种新方法.
Ou-Pan(2010)introduced a k-order width function,and then generalized Chernoff’s inequality.Motivated by Ou-Pan’s work we give a new geometric inequality of closed convex plane curves which further generalize Ou-Pan’s result.As a by-product,we give a new proof of the classical isoperimetric inequality.
作者
毛悦悦
贾爱娟
MAO Yue-yue;JIA Ai-juan(Discipline of Maths and Physics,College of Pharmacy,Henan University of Chinese Medicine,Zhengzhou 450046,China)
出处
《大学数学》
2019年第2期83-87,共5页
College Mathematics
基金
河南省社科联
省经团联调研课题(SKL-2016-2709)
关键词
平面闭凸曲线
积分不等式
等周不等式
closed convex plane curve
integral inequality
isoperimetric inequality
