一类关于弱对数性凸函数的对称平均

A Symmetric Mean about Weakly Logarithmically Convex Function

利用弱对数性凸函数定义了一类对称平均 ,建立了其基本不等式。得到了n元正数的第三 k次对称平均仅为该类平均之特例。同时简证了 Fan·ky不等式的一推广形式 ,作为应用 ,推广了

The author defines a symmetric mean about weakly logarithmically convex function and sets up its basic inequality.The third k-order symmetric mean is generalized there.He also simply proves the generalization of “Fan·ky”inequality and generalizes “klamkin” inequality.