线性空间中s-orlicz拟凸函数的性质

Properties of s-orlicz convex functions in linear spaces

凸性及广义凸性的研究是最优化理论中的重要内容,而凸性条件的弱化在极值问题最优性条件的讨论中有非常重要的作用,这里新定义了线性空间中的s-orlicz拟凸函数的概念,讨论了这类新凸函数的数质,拓广了经典凸函数的相关结论.

The research into convex and generalized convex is the important content in optimum theory but the weakening of convex condition in the discussion of optimum condition of extreme value plays an important role.S-orlicz convex functions on s-orlicz convex set in linear spaces were defined and some properties were discussed.