摘要
考虑几何凸函数的几何凸性,针对几何凸函数的几何平均,利用几何凸函数的Jensen型不等式,应用定积分的定义及分部积分法,得到了几何凸函数的几何平均型Hadamard不等式,并给出了简单应用.
According to the geometric mean of geometric convex function,the geometric mean-type Hadamard inequality of geometric convex function is derived and the simple application is also elicited by considering the geometric convexity of geometric convex function and applying the Jensen-type inequality of geometric convex function as well as the definition of definite integral and integration by parts.
出处
《首都师范大学学报（自然科学版）》
2011年第4期14-17,共4页
Journal of Capital Normal University：Natural Science Edition
基金
湖北省高等学校教学研究项目(20060422)
