| 赋广义Orlicz范数的Orlicz函数空间的k一致凸性 |
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| 引用本文： | 段丽芬,许晶,崔云安.赋广义Orlicz范数的Orlicz函数空间的k一致凸性[J].浙江大学学报(理学版),2012,39(5):512-516. |
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| 作者姓名： | 段丽芬 许晶 崔云安 |
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| 作者单位： | 1. 通化师范学院数学系,吉林通化,134002
2. 哈尔滨理工大学应用科学学院,黑龙江哈尔滨,150080 |
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| 基金项目： | 波兰国家自然科学基金资助项目(201362236);吉林省教育厅“十一五”科技项目(2010-214) |
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| 摘 要： | 给出了以右导函数为凸函数的N-函数生成的赋广义Orlicz范数的Orlicz函数空间k一致凸的条件.
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| 关 键 词： | 广义Orlicz范数 Orlicz函数空间 k一致凸 |
| 收稿时间： | 2011-04-28; |
Uniform k-rotundity in Orlicz function spaces equipped with the generalized Orlicz norm |
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| DUAN Li-fen
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XU Jing
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CUI Yun-an.Uniform k-rotundity in Orlicz function spaces equipped with the generalized Orlicz norm[J].Journal of Zhejiang University(Sciences Edition),2012,39(5):512-516. |
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| Authors: | DUAN Li-fen XU Jing CUI Yun-an |
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| Institution: | 1.Department of Mathematics,Tonghua Teachers College,Tonghua 134002,Jilin Province,China;2.Applied Sciences College,Harbin Institute of Technology,Harbin 150080,China) |
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| Abstract: | For the Orlicz function spaces generated by a N-function whose derivative on the right is convex and equipped with the generalized Orlicz norm,a sufficient and necessary condition is obtained to make them be uniform k-rotund. |
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| Keywords: | generalized Orlicz norm Orlicz function space uniform k-rotund |
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