| Orlicz Sylvester Busemann 型函数的极值研究 |
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| 引用本文： | 陈方维,杨丛丽,罗淼.Orlicz Sylvester Busemann 型函数的极值研究[J].河海大学学报(自然科学版),2015(4):439-450. |
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| 作者姓名： | 陈方维 杨丛丽 罗淼 |
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| 作者单位： | 贵州财经大学数学与统计学院, 贵阳 550025.,贵州师范大学数学与计算机科学学院, 贵阳 550001.,贵州师范大学数学与计算机科学学院, 贵阳 550001. |
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| 基金项目： | 本文受到国家自然科学基金 (No.11161007, No.11101099, No.11561012), 中国科学院西部之光人才项目, 贵州省科学技术(联合)基金
(No.[2012] 2273, No.[2014] 2044, No.[2011] 16), 贵州省留学人员择优项目和贵州师范大学博士基金的资助. |
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| 摘 要： | 研究了两个Orlicz Busemann型函数 $A(K;\phi)$和 $I(K;\phi;m)$, 建立了
$A(K_t;\phi)$和$I(K_t;\phi;m)$的最小值.
特别地, 在二维平面的情况下, 给出了它们的最大值.
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| 关 键 词： | Orlicz中心体 Sylvester型函数 平行弦运动 |
On Extrema of the Orlicz Sylvester Busemann-Type
Functions |
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| CHEN Fangwei,YANG Congli and LUO Miao.On Extrema of the Orlicz Sylvester Busemann-Type
Functions[J].Journal of Hohai University (Natural Sciences ),2015(4):439-450. |
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| Authors: | CHEN Fangwei YANG Congli and LUO Miao |
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| Institution: | Department of Mathematics and Statistics, Guizhou University of Finance and
Economics, Guiyang 550025, China.,School of Mathematics and Computer Science, Guizhou Normal University,
Guiyang 550001, China. and School of Mathematics and Computer Science, Guizhou Normal University,
Guiyang 550001, China. |
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| Abstract: | In this paper, two new Orlicz Busemann-type functions A(K; ) and I(K; ;m)
are introduced. The minimum of A(Kt; ) and I(Kt; ;m) are obtained. Especially, in the
two-dimensional case, the maximum of A(Kt; ) and I(Kt; ;m) are established. |
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| Keywords: | Orlicz centroid body Sylvester-type function Parallel chord movement |
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