| 一类广义Busemann Petty问题的稳定性 |
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| 引用本文： | 冯伟.一类广义Busemann Petty问题的稳定性[J].重庆工商大学学报(自然科学版),2014,31(11):33-34. |
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| 作者姓名： | 冯伟 |
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| 作者单位： | 重庆师范大学数学学院,重庆,401331 |
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| 摘 要： | 主要确立了广义Busemann-Petty问题的稳定性;结果涉及了维数限制上的广义Busemann-Petty问题的稳定性以及与广义截面体类结构相关联的Busemann-Petty问题的稳定性;细化并蕴含了Koldobsky和马丹所给出的广义Busemann-Petty问题的稳定性结果,且为进一步深化相关的研究提供了启示.
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| 关 键 词： | 稳定性 广义Busemann-Petty问题 对偶混合体积 i维拉登变换 |
The Stability of a Class of Generalized Busemann-Petty Problem |
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| FENG Wei.The Stability of a Class of Generalized Busemann-Petty Problem[J].Journal of Chongqing Technology and Business University:Natural Science Edition,2014,31(11):33-34. |
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| Authors: | FENG Wei |
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| Institution: | FENG Wei (School of Mathematics, Chongqing Normal University, Chongqing 401331, China) |
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| Abstract: | This paper mainly discusses the stability of generalized Busemann-Petty problem, its results involving in the stability of generalized Busemann-Petty problem on dimension-restriction and the stability of Busemann-Petty problem related to generalized-intersection-like structure. The results in this paper more detailedly segments and contains the stability results of generalized Busemann-Petty problem given by Koldobsky and Ma Dan, providing the enlightenment for deepening the related researches. |
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| Keywords: | stability generalized Busemann-Petty problem dual mixed volume i-dimensionalRadon transform |
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