摘要
在已有凸函数文献的基础上,讨论了凸函数的13种不同定义,并对各种定义形式之间的等价性进行了完整的分析和证明,对凸函数理论及已有文献中的相应结论进行了进一步的改进.
Based on the known results, the thirteen kinds of definitions were summarized about convex function and the equivalence of them was discussed completely. Further improvement is made on convex function theory and con- clusions in literature.
出处
《重庆工商大学学报（自然科学版）》
2009年第2期171-173,182,共4页
Journal of Chongqing Technology and Business University:Natural Science Edition
关键词
凸函数
连续
可导
等价性
convex functions
continuity
differentiability
equivalence
