论文标题
有条件的$ h $ -convexity具有应用程序
Conditional $h$-convexity with applications
论文作者
论文摘要
在本文中，我们介绍了条件$ H $ -CONVEX函数的概念，并证明了有条件的$ H $ -CONVEX函数的Jensen不等式的操作员版本。使用这种类型的功能，我们为Ky-Fan的不平等，算术几何不平等，CHRYSTAL不等式以及H $ \ ddot {O} $ lder-McCarthy不平等提供了一些改进。可以通过应用这一新概念来完善许多其他不平等现象。
In this paper, we introduce the notion of conditional $h$-convex functions and we prove an operator version of the Jensen inequality for conditional $h$-convex functions. Using this type of functions, we give some refinements for Ky-Fan's inequality, arithmetic-geometric mean inequality, Chrystal inequality, and H$\ddot{o}$lder-McCarthy inequality. Many of the other inequalities can be refined by applying this new notion.
