积分形式的Bonnesen型不等式  

The Bonnesen-Type Inequality of Integral Form

作　　者：马磊 董旭 曾春娜 MA Lei;DONG Xu;ZENG Chunna(Department of Sciences, Guangdong Preschool Normal College in Maoming, Maoming Guangdong 525200, China;School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China)

机构地区：[1]广东茂名幼儿师范专科学校理学院,广东茂名525200 [2]重庆师范大学数学科学学院,重庆401331

出　　处：《西南师范大学学报（自然科学版）》2022年第2期32-36,共5页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11801048);重庆市留学人员创新创业支持计划(cx2019155);重庆市教委科学技术研究项目(KJQN201900530);2020年度广东省普通高校特色创新项目(2020KTSCX358).

摘　　要：本文探索了积分形式的Bonnesen型不等式.利用函数的积分不等式与周期函数的性质,得到了一系列积分形式的Bonnesen型不等式.为关于原点对称且具有光滑边界的闭凸区域的Bonnesen型不等式找到了一种纯分析的证明.Some Bonnesen-type inequalities in integral form have been investigated.Based on the integral inequality of function and the properties of periodic function,a series of bonnesen-type inequalities in integral form have been obtained,and a proof of pure analysis has been obtained for the Bonnesen-type inequality with respect to the closed convex region with symmetric origin and smooth boundary.

关 键 词：周期函数 积分不等式 BONNESEN型不等式 

分 类 号：O186.5[理学—数学] O172.2[理学—基础数学]