| 近K凸性模与近K光滑模 |
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| 引用本文： | 董鸽,魏文展,程庆进. 近K凸性模与近K光滑模[J]. 广西科学, 2004, 11(3): 188-190 |
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| 作者姓名： | 董鸽 魏文展 程庆进 |
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| 作者单位： | 广西师范学院数学系,南宁市明秀东路,530001 |
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| 摘 要： | 证明相关文献定义的近K一致凸与紧K一致凸等价、近K一致光滑与紧K一致光滑等价，提出近K凸性模和近K光滑模的概念，讨论近K凸性模与近K光滑模的关系．
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| 关 键 词： | 近K凸性模 近K光滑模 近（紧）K一致凸 近（紧）K一致光滑 |
| 收稿时间： | 2003-11-07 |
| 修稿时间： | 2003-11-07 |
The Moduli of Near K Convexity and Near K Smoothness |
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| Dong Ge,Wei Wenzhan and Cheng Qingjin. The Moduli of Near K Convexity and Near K Smoothness[J]. Guangxi Sciences, 2004, 11(3): 188-190 |
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| Authors: | Dong Ge Wei Wenzhan Cheng Qingjin |
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| Affiliation: | Dept. of Math., Guangxi Teachers Education Univ., East Mingxiulu, Nanning, Guangxi, 530001, China,Dept. of Math., Guangxi Teachers Education Univ., East Mingxiulu, Nanning, Guangxi, 530001, China and Dept. of Math., Guangxi Teachers Education Univ., East Mingxiulu, Nanning, Guangxi, 530001, China |
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| Abstract: | We proved that the compact K uniform convexity and near K uniform convexity in reference [3] are equivalant to compact K uniform smoothness and near K unifor smoothness respectively.The notions of moduli of near K convexity and near K smoothness were introduced,and the relation between near K convexity modulus and near K smoothness were also discussed. |
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| Keywords: | near K convexity modulus near K smoothness modulus near(compact) K uniform convexity near (compact) K uniform smoothness |
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