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点态凸性模与空间中相关几何性质的关系 被引量:1

Relation between pointwise convex modulus and relevant geometric properties in spaces
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摘要 研究了Banach空间中点态凸性模与空间凸性模,非方常数之间的关系,并给出经典空间lp空间中任意一点的点态凸性模的估计. In this paper, the relation between the convex modulus is studied, nonsquare constant and the pointwise convex modulus, gives estimation of the pointwise convex modulus in lp.
出处 《哈尔滨商业大学学报(自然科学版)》 CAS 2009年第4期459-460,共2页 Journal of Harbin University of Commerce:Natural Sciences Edition
基金 国家自然科学基金(10671048)
关键词 点态凸性模 凸性模 非方常数 convex modulus nonsquare constant pointwise convex modulus
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参考文献4

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  • 2SYAU Y R,LEE E S.Preincavity and Fuzzy Decision Making[J].Fuzzy Sets and Systems,2005,155(3):408-424.
  • 3DUBOIS D,PRADE H.Operations on Fuzzy Numbers[J].International Journal of Systems Science,1978,9(6):613-626.
  • 4CHEN J Y,SYAU Y R,TING C J.Convexity and Semicontinuity of Fuzzy Set[J].Fuzzy Sets and Systems,2004,143:459-469.
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  • 6YAN H,XU J P.A Class of Convex Fuzzy Mappings[J].Fuzzy Sets and Systems,2002,129(1):47-56.
  • 7YAU Y R.Some Properties of Weakly Convex Fuzzy Mappings[J].Fuzzy Sets and Systems,2001,123:203-207.

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