论文标题
操作员凸功能及其应用
Operator convex functions and their applications
论文作者
论文摘要
在本文中,我们介绍了运算符的地球凸和操作员凸函数的功能,并表征了它们的某些属性。然后应用这些类别的功能来介绍几个操作员Azcél和Minkowski类型的不等式,以扩展一些已知结果。还考虑了凹面对应物。
In this paper, we introduce operator geodesically convex and operator convex-log functions and characterize some properties of them. Then apply these classes of functions to present several operator Azcél and Minkowski type inequalities extending some known results. The concavity counterparts are also considered.