关于几个广义凸函数的新性质

Some New Properties of the Generalized Convex Functions

E 凸函数、半 E 凸函数、拟 半 E 凸函数及伪 半 E 凸函数都是对凸函数的推广 ,即它们都是广义的凸函数。在文献 [1,2 ]中 ,二位作者已经得出一些重要的性质 ,本文在此基础上又得出了这些函数的一些新性质。

E-convex function, semi-E-convex function,quasi-semi-E-convex function and pseudo-semi-E-convex function are all the generations of convex function,i.e, generalized convex functions .In the literatures[1,2],the two authors have obtained some important properties of these functions. This paper provides some new properties of these functions on the basis of their findings.