论文标题
根部凸函数
Radical Convex Functions
论文作者
论文摘要
在本文中，我们通过揭示凸性行为的新界限进一步探讨了凸功能。特别是，我们定义了所谓的自由基凸函数并研究其特性。我们将看到，此类凸功能是由新曲线而不是直线界定的。将提出包括离散和连续的詹森不平等，亚辅助行为，Hermite-Hadamard和积分不平等的应用。
In this article, we further explore convex functions by revealing new bounds, resulting from stronger convexity behavior. In particular, we define the so called radical convex functions and study their properties. We will see that such convex functions are bounded above by new curves, rather than straight lines. Applications including discrete and continuous Jensen inequalities, subadditivity behavior, Hermite-Hadamard and integral inequalities will be presented.
