| 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 |
| 关于Banach空间k一致凸及k一致光滑性 |
| On k-Uniform Convexity and k-Uniform Smoothness of Banach Spaces |
| 投稿时间：1997-09-08 修订日期：1999-06-13 |
| DOI：10.3770/j.issn:1000-341X.2000.04.021 |
| 中文关键词: k一致光滑 k-强光滑 ω-强凸. |
| 英文关键词:k-uniformly smooth k-strong smooth ω-strongly convex. |
| 基金项目: |
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| 摘要点击次数: 1933 |
| 全文下载次数: 831 |
| 中文摘要: |
| 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. |
| 英文摘要: |
| In this paper, Using uniform and simple form we treat or define (locally) k-uniformly convex and k-strongly convex and ω-strong convex, and give (locally) k-uniform smoothness in Banach space. We discuss the relationship among them and their properties. |
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