【摘要】 考虑对数凸函数的对数凸性,针对对数凸函数的几何平均,利用对数凸函数的Jensen不等式,应用定积分的定义,通过定积分运算,得到了对数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 logarithmic convex function,the geometric mean-type Hadamard inequality of logarithmic convex function is derived and the simple application is also elicited by considering the logarithmic convexity of logarithmic convex function and applying the Jensen-type inequality of logarithmic convex function as well as the definition and operation of definite integral.更多还原