广义凸函数的几个控制不等式(英文)

Some Control Ineaualities for Generalized Convex Functions

相对于一元实值凸函数,基于n-维线性空间上一般意义下两类(厂义的)凸函数-n维线性空间上凸函数及强凸函数的定义,讨论了广义凸函数及强凸函数的几个控制不等式.推广了相关结论.

Relative to the conception of real convex function in a 1 - dimensional space, the definitions of some generalized convex functions - - convex functions in an n - dimensional linear space and forcible convex functions in an n - dimensional linear space are introduced, and several control inequalities for generalized convex functions are diseussed by the definitions of generalized convex functions and forcible - convex function. In a sense, the results in this paper extend correlative results in works [2- 3].