论文标题
凸分析和二元性
Convex Analysis and Duality
论文作者
论文摘要
凸度是非线性优化理论以及无限尺寸功能分析中的重要概念。如下所示，非常简单且强大的工具将来自基本二重性参数（这是Moreau-Fenchel Transform和Hahn Banach定理的副产品）。我们将强调针对各种变异问题的应用。将跳过一些衡量理论的论点。
Convexity is an important notion in non linear optimization theory as well as in infinite dimensional functional analysis. As will be seen below, very simple and powerful tools will be derived from elementary duality arguments (which are byproducts of the Moreau-Fenchel transform and Hahn Banach Theorem). We will emphasize on applications to a large range of variational problems. Some arguments of measure theory will be skipped.
