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.
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.
出处
《湖南理工学院学报（自然科学版）》
CAS
2011年第1期8-11,共4页
Journal of Hunan Institute of Science and Technology(Natural Sciences)
基金
湖北省高等学校教学研究项目(20060422)
