论文标题
插值，Prekopa和Brunn-Minkowski，用于$ f $ -subharmonicity
Interpolation, Prekopa and Brunn-Minkowski for $F$-subharmonicity
论文作者
论文摘要
我们将Prekopa定理和Brunn-Minkowski定理从凸度扩展到$ f $ -subharmonicity。我们将其应用于凸函数的插值问题和凸集集合，引入了新的“谐波插值”概念，我们将其视为Minkowski-Addition的概括。
We extend Prekopa's Theorem and the Brunn-Minkowski Theorem from convexity to $F$-subharmonicity. We apply this to the interpolation problem of convex functions and convex sets introducing a new notion of "harmonic interpolation" that we view as a generalization of Minkowski-addition.
