| 拟L_p-混合相交体 |
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| 引用本文： | 虞志刚.拟L_p-混合相交体[J].数学学报,2010,53(1):25-36. |
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| 作者姓名： | 虞志刚 |
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| 作者单位： | 深圳教苑中学; |
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| 基金项目： | 国家自然科学基金资助项目(10671117) |
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| 摘 要： | 1988年,Lutwak首次提出了相交体的概念.本文在相交体以及拟L_p-相交体的基础上,引入了拟L_p-混合相交体的概念.通过利用对偶L_p-混合均值积分理论和相关的不等式,给出了L_p型的Busemann相交不等式,建立了关于L_p径向组合和L_p-调和Blaschke组合的Brunn-Minkowski型不等式及其隔离形式,并且探讨了拟L_p-混合相交体的单调性问题.
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| 关 键 词： | 拟L_p-混合相交体 星体 对偶混合均值积分 |
| 收稿时间： | 2008-04-14 |
| 修稿时间： | 2009-03-17 |
Quasi-Lp-Mixed Intersection Bodies |
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| Zhi Gang YU Shenzhen Jiaoyuan Middle School,Shenzhen ,P.R.China.Quasi-Lp-Mixed Intersection Bodies[J].Acta Mathematica Sinica,2010,53(1):25-36. |
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| Authors: | Zhi Gang YU Shenzhen Jiaoyuan Middle School Shenzhen PRChina |
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| Institution: | Shenzhen Jiaoyuan Middle School, Shenzhen 518048, P. R. China |
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| Abstract: | In 1988,Lutwak first brought into being the concept of Intersection Bodies, based on which,complemented by that of Quasi-L_p-Intersection Bodies,the present paper proposes a new idea of Quasi L_p-mixed Intersection Bodies.With the help of the dual L_p-Mixed Quermassintegrals theory and some related inequalities,the paper gives the L_p-Busemann Intersetion Inequality,establishes some dual Brunn-Minkowski inequalities and their isolated forms for L_p-mixed intersection body about L_p-radial combination and L_... |
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| Keywords: | quasi-L_p-mixed intersection bodies star bodies dual mixed quermassintegrals |
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