| 关于Banach空间k一致凸及k一致光滑性 |
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| 引用本文： | 方习年.关于Banach空间k一致凸及k一致光滑性[J].数学研究及应用,2000,20(4):583-587. |
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| 作者姓名： | 方习年 |
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| 作者单位： | 安徽机电学院,芜湖,241000 |
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| 摘 要： | 用统一且简洁形式刻画、定义了Banach空间的(局部)k一致凸、k-强凸、ω-强凸性.给出(局部)k一致光滑性概念，并讨论了上述空间的关系及性质.
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| 关 键 词： | k一致光滑 k-强光滑 ω-强凸. |
| 收稿时间： | 9/8/1997 12:00:00 AM |
| 修稿时间： | 1997-09-08 |
On k-Uniform Convexity and k-Uniform Smoothness of Banach Spaces |
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| FANG Xi-nian.On k-Uniform Convexity and k-Uniform Smoothness of Banach Spaces[J].Journal of Mathematical Research with Applications,2000,20(4):583-587. |
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| Authors: | FANG Xi-nian |
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| Institution: | Anhui Institute of Mechanical and Electrical Engineering, Wuhu 241000, China |
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| Abstract: | In this paper, Using uniform and simple form we treat or define (locally) k-uni- formly convex and k-strongly convex and w-strong convex, and give (locally) k-uniform smoothness in Banach space. We discuss the relationship among them and their properties. |
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| Keywords: | k-uniformly smooth k-strong smooth w-strongly convex |
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