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拟凸函数的若干充分条件

Some Sufficient Conditions to Quasi-Convex Functions
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摘要 本文提出了中点拟凸函数的概念,在可测函数空间中,给出了中点拟凸函数拟凸的若干个充分条件. The concept of the midpoint quasi-convex function is introduced, and some conditions are obtained to ensure that midpoint quasi-convex function is quasi-convex in the measurable function space.
作者 许亚善
出处 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2007年第1期41-46,共6页 数学研究与评论(英文版)
基金 the National Natural Science Foundation of China(10371024)
关键词 拟凸函数 中点拟凸 可测函数 quasi-convex midpoint quasi-convex measurability
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参考文献3

  • 1AUBIN J P.Optima and Equilibria.An Introduction to Nonlinear Analysis[M].Translated from the French by Stephen Wilson,Springer-Verlag,Berlin,1993.
  • 2MUKHERJEA A,POTHOVEN K.Real and Functional Analysis.Part A.Real Analysis[M].Second edition.Mathematical Concepts and Methods in Science and Engineering,27.Plenum Press,New York,1984.
  • 3YANG Xin-min.Quasi-convexity of upper semicontious functions[J].Chinese Journal of Operations Research,1999,3(1):48-51.

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