【摘要】 在文献[1]中,杨新民教授分别介绍了拟凸函数、严格拟凸函数和强拟凸函数的一些特性,以及它们在一定条件下的性质.如果将条件适当加以削弱,仍得到同样的结果.并进一步讨论拟凸和r-凸的关系,为研究此类广义凸函数拓展了新思路.更多还原

【Abstract】 In Ref.[1],Yang presented characterizations of quasiconvex functions,strictly quasiconvex functions,and strongly quasiconvex functions respectively under a certain set of conditions.In this note,we show that the same results or even general ones can be obtained under weaker assumptions.what’s more,we discuss the relation between the r-convex function and quasiconvex function.so it offers a new idea about how to study general convex functions.更多还原