Successive radii and Orlicz Minkowski sum

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• 作者：Fangwei Chen ; Congli Yang ; Miao Luo
• 关键词：Orlicz Minkowski sum ; Orlicz difference body ; Successive outer radii ; Successive inner radii ; 52A20 ; 52A40 ; 52A38
• 刊名：Monatshefte f¨¹r Mathematik
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：179
• 期：2
• 页码：201-219
• 全文大小：458 KB
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• 作者单位：Fangwei Chen (1)
  Congli Yang (2)
  Miao Luo (2) (3)
  
  1. Department of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, 550004, Guizhou, People’s Republic of China
  2. School of Mathematics and Computer Science, Guizhou Normal University, Guiyang, 550001, Guizhou, People’s Republic of China
  3. School of Mathematics and Statistics, Southwest University, Chongqing, 400715, People’s Republic of China
  
• 刊物主题：Mathematics, general;
• 出版者：Springer Vienna
• ISSN：1436-5081

文摘

In this paper, we deal with the successive inner and outer radii with respect to Orlicz Minkowski sum. The upper and lower bounds for the radii of the Orlicz Minkowski sum of two convex bodies are established. Keywords Orlicz Minkowski sum Orlicz difference body Successive outer radii Successive inner radii