函数的凸性与广义凸性在数学规划以及最优化理论中起着非常重要的作用。

Convexity and generalized convexity of functions play an important role in mathematical programming and optimal theory.

youdao

用集合的近似凸性研究函数的拟凸性。在较弱假设下，获得了拟凸性的一些等价条件。

Quasiconvex functions are studied by applying nearly convexity of sets. Under weaker assumptions, some equivalent conditions for quasiconvexity are derived.

youdao

用集合的近似凸性研究函数的预不变凸性，在较弱的假设下获得了预不变凸性的一些等价条件。

Preconvex functions are studied by applying nearly convexity of sets in this paper. Under weaker assumptions, some equivalent conditions for preconvexity are derived.

youdao