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一些高维逆Bonnesen型不等式

Some Reverse Bonnesen-style Inequalities in n-Dimensional Euclidean Space R^(n)
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摘要 该文研究n维欧氏空间Rn中逆Bonnesen型不等式,主要利用Urysohn不等式,对偶等周不等式,平均宽度与平均截面面积,得到了一些高维逆Bonnesen型不等式. This paper mainly studies reverse Bonnesen-style inequalities in n-dimensional Euclidean space R^(n).By the Urysohn inequality,the dual isoperimetric inequality,mean width and mean intersection area,some new reverse Bonnesen-style inequalities for general convex bodies are obtained in R^(n).
作者 王贺军 Wang Hejun(School of Mathematics and Statistics,Shandong Normal University,Ji'nan 250358)
出处 《数学物理学报(A辑)》 CSCD 北大核心 2023年第4期985-993,共9页 Acta Mathematica Scientia
基金 中国博士后科学基金(2020M682222) 山东省自然科学基金(ZR2020QA003,ZR2020QA004)。
关键词 逆Bonnesen型不等式 等周亏格 平均宽度 平均截面面积 Reverse Bonnesen-style inequality Isoperimetric deficit Mean width Mean in-tersection area
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