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Wirtinger不等式的一个几何应用 被引量:5

A GEOMETRIC APPLICATION OF WIRTINGER INEQUALITY
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摘要 本文研究了著名的Minkowski混合面积不等式.利用平面凸集的支持函数的性质和分析中著名的Wirtinger不等式,得到了Minkowski混合面积不等式的一个简化证明. In this article,we investigate the known Minkowski inequality for mixed area of two convex sets.By using the well-known Wirtinger inequality,we obtain a simplified proof of the Minkowski inequality for the mixed area of two convex sets.
出处 《数学杂志》 CSCD 北大核心 2011年第5期887-890,共4页 Journal of Mathematics
基金 国家自然科学基金资助(10971167)
关键词 Minkowski混合面积 凸集 等周不等式 支持函数 WIRTINGER不等式 Minkowski mixed area convex set isoperimetric inequality support function Wirtinger inequality
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  • 1Goodey P.,Woodcock M.Intersection on Convex Bodies with Their Translations[M].The Geometric Vein,Springer Verlay,New york,1981.
  • 2Ren D.,Topics in Integral Geometry[M].World Scientitic,Singapore,1994.
  • 3Santalo L.,Integral Geometry and Geometric Probability[M].Addison-Wesley Publishing Company,1976.
  • 4Zhou J.On Bonnesen-type isperimatric inegualities[A].Proceedings of the 10th International Workshop on Differential Geometry[C].Korea,2005.
  • 5Zhang G.and Zhou J.,Containment measures in integral geometry[M].World Scientific,Singnpore,2005.
  • 6Osserman R., Bonnesen-style isoperimetric inequality, Amer. Math. Monthly, 1979, 86: 1-29.
  • 7Ren D., Topics in integral geometry, Sigapore: World Scientific, 1994.
  • 8Santalo L. A., Integral geometry and geometric probability, Reading, Mass, Addison-Wesley, 1976.
  • 9Zhou J., On the Willmore deficit of convex surfaces, Lectures in Applied Mathematics of Amer. Math. Soc., 1994, 30: 279-287.
  • 10Hsiang W. Y., An elementary proof of the isoperimetric problem, Ann. of Math., 2002, 23A(1): 7-12.

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