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半-E-凸函数的性质

Some New Properties of Semi-E-Convex Functions
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摘要 文献[1,2]已对E-凸集,E-凸函数,半-E-凸函数进行了研究,得出了一些性质。本文在此基础上对它们再次进行了研究,得出了半-E-凸函数的一些新性质,进一步完善了半-E-凸函数。 In the literature [ 1,2 ], the two authors have studied E-convex sets, E-convex function and semi- E-convex function and obtained some properties of them. This paper provides some new properties of semi-E- convex functions based on their findings and perfects semi-E-convex functions.
作者 焦合华
出处 《洛阳师范学院学报》 2007年第2期9-10,共2页 Journal of Luoyang Normal University
关键词 E-凸集 E-凸函数 半-E-凸函数 伪-半-E-凸函数. E-convex set E-convex function semi-E-convex function pseudo-semi-E-convex
  • 相关文献

参考文献5

  • 1YOUNESS E.A.E-Convex Sets,E-Convex Functions,and E-Convex Programming[J].Journal of Optimization Theory and Applications,1999,102(2):439-450.
  • 2CHEN.X.S.Some Properties of Semi-E-convex.functions[J].Math.Appl,2002,275(3):251-262.
  • 3X..M.Yang,on E-convex set,E-convex function and E-convex programming[J].Optim.Theory Appl.2001,109:699-703.
  • 4黄应全,赵克全.E-凸集,E-凸函数和半-E-凸函数[J].河北大学学报(自然科学版),2005,25(1):13-15. 被引量:13
  • 5史树中.凸分析[M].上海:上海科学技术出版社,1986.

二级参考文献4

  • 1YOUNESS E A.E-Convex sets,E-Convex functions and E-Convex programmimg[J]. Journal of Optimization Theory and Applications ,1999,102(2):439-450.
  • 2CHEN XIUSU.Some properties of semi-E-convex functions[J]. Journal of Optimization Theory and Applications ,2002,275:251-262.
  • 3YANG X M.Technical note on E-Convex sets,E-Convex functions and E-Convex programming[J]. Journal of Optimization Theory and Applications, 2001,109(3):699-704.
  • 4冯得兴.凸分析基础[M].北京:科学出版社,1995..

共引文献12

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