【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.更多还原

【Abstract】 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.更多还原