| 局部凸空间P-自反下的中点局部k-一致凸性(光滑性) |
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| 引用本文： | 薛娇,唐方旭,宋眉眉.局部凸空间P-自反下的中点局部k-一致凸性(光滑性)[J].数学的实践与认识,2017(14):282-290. |
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| 作者姓名： | 薛娇 唐方旭 宋眉眉 |
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| 作者单位： | 1. 天津财经大学珠江学院,天津,301811;2. 天津理工大学理学院,天津,300384 |
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| 摘 要： | 在局部凸空间已有的中点局部kk-一致凸性和中点局部k-一致光滑性这一对对偶概念的基础上,证明了中点局部kk-一致凸性与中点局部(k+1)-一致凸性的关系,给出了在P-自反的条件下它们之间的等价对偶定理.
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| 关 键 词： | 偶对 中点局部k-一致凸性 中点局部k-一致光滑性 P-自反 |
Midpoint Locally k-Uniformly Convexity(Smoothness)Condition Under P-Reflexivity on Locally Convex Spaces |
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| XUE Jiao,TANG Fang-xu,SONG Mei-mei.Midpoint Locally k-Uniformly Convexity(Smoothness)Condition Under P-Reflexivity on Locally Convex Spaces[J].Mathematics in Practice and Theory,2017(14):282-290. |
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| Authors: | XUE Jiao TANG Fang-xu SONG Mei-mei |
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| Abstract: | At the base of midpoint locally k-uniformly convexity and midpoint locally k-uniformly smoothness,proved the relationship between midpoint locally k-uniformly convexity and midpoint locally (k+1)-uniformly convexity,then on the conditions of P-reflexivity,we obtain further the equivalont dual theorem of between midpoint locally k-uniformly convexity and midpoint locally k-uniformly smoothness. |
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| Keywords: | dual midpoint locally k-uniformly convexity midpoint locally k-uniformly smoothness P-reflexivity |
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