摘要
类比凸函数的概念,给出了AH-凸函数的定义,导出了AG-凸函数的充要条件及其判定定理,建立了AH-凸函数的Jensen型不等式.应用AH-凸函数及其Jensen型不等式得到若干新不等式.
The concept of analogy convex function provides the definition of AH - convex function, derives the necessary and sufficient conditions of AG - convex function and its judging theorem, and establishes the Jensen type inequality of AH - convex function. By applying AH - convex function and its Jensen type inequality, several new inequalities have been obtained
出处
《湖北职业技术学院学报》
2013年第2期106-109,105,共5页
Journal of Hubei Polytechnic Institute
基金
湖北职业技术学院立项课题"定义在区间上的凸函数类型研究"(课题编号:2012B12)的阶段性成果