论文标题
抽象凸性的应用和问题
Application and issues in abstract convexity
论文作者
论文摘要
抽象凸度的理论，也称为无线性的凸度，是经典凸分析的扩展。有许多显着的结果，主要是关于二元性的，但是一些数值方法，但是该领域尚未找到许多实际应用。在本文中，我们研究了抽象凸度在功能近似中的应用。本文解决的另一个重要的研究方向是与所谓的公理凸度的联系。
The theory of abstract convexity, also known as convexity without linearity, is an extension of the classical convex analysis. There are a number of remarkable results, mostly concerning duality, and some numerical methods, however, this area has not found many practical applications yet. In this paper we study the application of abstract convexity to function approximation. Another important research direction addressed in this paper is the connection with the so-called axiomatic convexity.
