On Second-Order Generalized Convexity

被引：0
|
作者：
C. Zălinescu
机构：
[1] University Alexandru Ioan Cuza,Faculty of Mathematics
[2] Romanian Academy,Octav Mayer Institute of Mathematics
来源：
Journal of Optimization Theory and Applications | 2016年 / 168卷
关键词：
Second-order (generalized) convex function; Semidefinite matrix; Quadratic function; 26B25; 90C26;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Second-order convex functions were introduced by Mond (Opsearch 11(2–3):90–99, 1974) in order to deal with second-order duality. Then that notion was generalized again and again, using more and more parameters introduced using several quantifiers. In the present paper, we show that most of these notions have quite simple intrinsic characterizations. This paper can be viewed as a continuation of our paper (Zălinescu in An Ştiinţ Univ Al I Cuza Iaşi Secţ I a Mat 35(3):213–220, 1989) in which we characterized generalized bonvex functions.
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页码：802 / 829
页数：27
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