E-拟凸函数的新性质及应用

  • 彭再云 ,
  • 林志 ,
  • 刘亚威
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  • 重庆交通大学,理学院,重庆,400074

网络出版日期: 2009-11-25

基金资助

国家自然科学基金,重庆市自然科学基金,重庆市教委科学技术研究项目

New Characters and Applications of E-quasiconvex Functions

  • PENG Zai-yun ,
  • LIN Zhi ,
  • LIU Ya-wei
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Online published: 2009-11-25

摘要

对一类重要的广义凸函数--E-拟凸函数作了进一步研究.首先,用E-拟凸函数的1个例子来说明此类广义凸函数的存在性.然后,得到了E-拟凸函数的几个新的性质以及E-拟凸函数的2个重要的判别定理.最后,给出了E-拟凸函数在数学规划问题中的2个重要结果.

本文引用格式

彭再云 , 林志 , 刘亚威 . E-拟凸函数的新性质及应用[J]. 河北大学学报(自然科学版), 2009 , 29(6) : 564 -566,569 . DOI: 10.3969/j.issn.1000-1565.2009.06.002

Abstract

A class of important generalized convex functions-E-quasiconvex function is futher discussed in this paper. First,an important example is given in part one, which show that E-quasiconvex functions is exist. Secondly, some new characters and two criteria of E-quasiconvex functions are given.Thirdly, two results for the extremum problemwhich the objective function is E-quasiconvex function are presented.

参考文献

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