n-维线性空间上两类凸函数的几个控制不等式

Several Control Inequalities for Two Class Convex Functions on n-Dimensional Linear Space

相应于一维实值凸函数的定义及相关不等式,引入线性空间中的轨道和有关排序实数组的优先顺序等概念,基于n 维线性空间上一般意义下两类(广义的)凸函数n 维线性空间上凸函数及强凸函数的定义,得到广义凸函数及强凸函数的几个控制不等式.在某种意义下推广有关文献的结论.

On the basis of the conception of real convex function in 1-dimensional space and its inequalities,the concepts,which are a kind of orbit in n-dimensional linear space and a kind of preferential order for real-number group according to some order,are introduced.Based on the definitions of two generalized convex functions-convex function in n-dimensional linear space and forcible conve function in n-dimensional linear space,several control inequalities for generalized convex functions are obtained.In a sense,the conclusions in this paper extend the results in literature.