| 摘要: |
| 本文研究了Orlicz 投影体和Orlicz 质心体的性质. 利用几何分析的方法, 获得了Orlicz 投影算子和Orlicz 质心算子的连续性. |
| 关键词: Orlicz投影体 Orlicz质心体 收敛性 |
| DOI： |
| 分类号:O186.5 |
| 基金项目:Supported by Science and Technology Foundation of Guizhou (2012gz10256);Visiting Scholar Foundation in Southwestern University;the Science and Technology Research of Chongqing Municipal Education Commission(KJ130614) |
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| NOTES ON THE CONVERGENCE OF ORLICZ CONVEX BODIES |
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LI Ze-qing1,2, ZHU Bao-cheng2, ZE Chun-na3
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1.School of Mathematics and Computer Science, Bijie Normal University, Bijie 551700, China;2.School of Mathematics and Statistics, Southwest University, Chongqing 400715, China;3.College of Mathematics Science, Chongqing Normal University, Chongqing 401331, China
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| Abstract: |
| In this paper, we investigate the characters of Orlicz projection body and Orlicz centroid body. By geometric analysis, we obtain the continuities of the Orlicz projection operator and Orlicz centroid operator. |
| Key words: Orlicz projection body Orlicz centroid body convergence |
