广东石油化工学院学报2025，Vol.35Issue(1)：122-126,5.
Wulff-Gage等周不等式的分析形式
Analytical Form of Wulff-Gage's Isoperimetric Inequality
摘要
Abstract
The analytical forms of Gage's isoperimetric inequality and Wulff-Gage's isoperimetric inequality is investigated.Based on the integral inequality of functions,the properties of periodic functions,and Cauchy Buniakowsky Schwarz,the even(symmetric)Wulff-Gage's isoperimetric inequality are obtained,and its special form is the analytical form of the even(symmetric)Gage's isoperimetric inequality.This means that a pure analytical proof has been found for the Wulff-Gage's isoperimetric inequality and Gage's isoperimetric inequality for closed convex domains with symmetric origins and smooth boundaries.关键词
Wulff-Gage 等周不等式/Gage 等周不等式/简单闭凸曲线/支撑函数Key words
Wulff-Gage's isoperimetric inequality/Gage's isoperimetric inequality/simple closed convex curve/support function分类
数理科学引用本文复制引用
马磊..Wulff-Gage等周不等式的分析形式[J].广东石油化工学院学报,2025,35(1):122-126,5.基金项目
广东省普通高校特色创新项目(2023KTSCX381) （2023KTSCX381）
茂名市科技计划项目(2023390) （2023390）
