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    • 赵长健.体积差的等周不等式[J].数学年刊A辑,2011,32(4):473~480
    体积差的等周不等式
    Isoperimetric Inequalities for Volume Differences
      
    DOI：
    中文关键词:  体积差函数  凸体  星体  等周不等式  对偶等周不等式  
    英文关键词:Volume difference  Convex body  Star body  Isoperimetric inequality  Dual isoperimetric inequality  
    基金项目:国家自然科学基金(No10971205)资助的项目
    Author NameAffiliationE-mail
    ZHAO Changjian Department of Mathematics,China Jiliang University,Hangzhou 310018,China. chjzhao@yahoo.com.cn; chjzhao@163.com 
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    中文摘要:
          首次提出并建立了凸体的体积差函数的等周不等式, 它是经典等周不等式的推广. 作为应用, 对星体建立了体积差函数的对偶等周不等式和广义对偶等周不等式.
    英文摘要:
          The author establishes some new isoperimetric inequalities for volume differences of convex bodies.As an application,the extended dual isoperimetric inequality for volume differences of star bodies is also established.
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