混合新几何体Γ_(-p,i)K的不等式 |
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引用本文: | 朱先阳,冷岗松. 混合新几何体Γ_(-p,i)K的不等式[J]. 数学学报, 2008, 51(4): 787-794. DOI: CNKI:SUN:SXXB.0.2008-04-021 |
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作者姓名: | 朱先阳 冷岗松 |
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作者单位: | 井冈山大学教学系,上海大学数学系 吉安 343009,上海 200444 |
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摘 要: | 近来,Lutwak,Yang和Zhang提出了新几何体Γ_(-p)K的概念,获得一些结论.本文引入混合新几何体Γ_(-p,i)K的概念,即新几何体是它的特殊类,得到了混合新几何体的一些性质,并建立了相关的不等式.
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关 键 词: | 凸体 混和新几何体Γ_(p,i)K L_p-质心体 |
收稿时间: | 2007-04-29 |
Several Inequalities for the Mixed New Geometric Body F_(-p,i)K |
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Affiliation: | Xian Yang ZHU Department of Mathematics,Jinggangshan University,Ji'an 343009,P.R.China Gang Song LENG Department oJ Mathematics,Shanghai University,Shanghai 200444,P.R.China |
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Abstract: | Recently,Lutwak,Yang and Zhang posed the notion of new geometric bodyΓ_(-p)K and got some results.In this paper,the notion of mixed new geometric bodyΓ_(-p,i)K is introduced,new geometric body being a special case.Some properties and inequalities are established for the mixed new geometric bodyΓ(-p,i)K. |
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Keywords: | convex body mixed new geometric bodyΓ_(-p,i)K L_p-centroid body |
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