| Banach空间上的一些凸性模与光滑模及其关系 |
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| 引用本文： | 贾正智,龚小兵.Banach空间上的一些凸性模与光滑模及其关系[J].新疆大学学报(理工版),2005,22(1):31-37. |
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| 作者姓名： | 贾正智 龚小兵 |
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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TP凸性模．TP光滑模。刻划了一致凸性与一致光滑性。并研究了取值于Banach空间的三角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 TP凸性模 TP光滑模 一致凸性 一致光滑性 鞅 |
| 文章编号： | 1000-2839(2005)01-0031-07 |
| 修稿时间： | 2004年5月12日 |
Modulus of Convexity and Modulus of Smoothness of Banach Spaces and Their Relationship |
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| JIA Zheng-zhi,GONG Xiao-bing.Modulus of Convexity and Modulus of Smoothness of Banach Spaces and Their Relationship[J].Journal of Xinjiang University(Science & Engineering),2005,22(1):31-37. |
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| Authors: | JIA Zheng-zhi GONG Xiao-bing |
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| Abstract: | We define the TP modulus of convexity and smoothness of Banach spaces and characterize uniform convexity and uniform smoothness. We also study the relationship between the trigonometric martingales with values in Banach spaces and uniform convexity and uniform smoothness. |
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| Keywords: | Banach spaces TP modulus of convexity TP modulus of smoothness uniform convexity uniform smoothness |
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