| 引用本文： |
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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. [点击复制]
- Dong Ge,Wei Wenzhan,Cheng Qingjin.The Moduli of Near K Convexity and Near K Smoothness[J].Guangxi Sciences,2004,11(3):188-190. [点击复制]
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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. |
| 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 |
| DOI： |
| 投稿时间：2003-11-07修订日期：2004-05-21 |
| 基金项目:广西教育厅资助项目。 |
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| The Moduli of Near K Convexity and Near K Smoothness |
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Dong Ge, Wei Wenzhan, Cheng Qingjin
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| (Dept. of Math., Guangxi Teachers Education Univ., East Mingxiulu, Nanning, Guangxi, 530001, China) |
| 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. |
| Key words: near K convexity modulus near K smoothness modulus near (compact)K uniform convexity near (compact)K uniform smoothness |
