| Banach空间的凸性模与光滑模 |
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| 引用本文： | 龚小兵,贾正智.Banach空间的凸性模与光滑模[J].新疆大学学报(理工版),2004,21(1):11-16. |
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| 作者姓名： | 龚小兵 贾正智 |
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| 作者单位： | 新疆大学数学与系统科学学院，新疆乌鲁木齐830046 |
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| 摘 要： | 定义了TC凸性模，TC光滑模，刻划了一致凸性与一致光滑性，并研究了取值于Banach空间的特殊鞅不等式与一致凸性，一致光滑性的关系。
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| 关 键 词： | Banach空间 TC凸性模 TC光滑模 一致凸性 一致光滑性 鞅不等式 |
| 文章编号： | 1000-2839(2004)01-0011-06 |
| 修稿时间： | 2003年7月1日 |
Modulus of Convexity and Modulus of Smoothness of Banach Spaces |
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| GONG Xiao-bing,JIA Zheng-zhi.Modulus of Convexity and Modulus of Smoothness of Banach Spaces[J].Journal of Xinjiang University(Science & Engineering),2004,21(1):11-16. |
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| Authors: | GONG Xiao-bing JIA Zheng-zhi |
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| Abstract: | We define the TC modulus of convexity and smoothness of Banach spaces and characterize uniform convexity and uniform smoothness. We also study the relationship between the special martingales with values in Banach spaces and uniform convexity and uniform smoothness. |
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| Keywords: | Banach spaces TC modulus of convexity TC modulus of smoothness uniform convexity uniform smoothness |
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