逼近论中的宽度问题

On Approximation Theory of Width Problem

主要根据几种宽度定义提出对应的实例,讨论了周期函数Besov函数类的逼近问题,并简单介绍宽度的发展。

In this paper the several definitions of n-width are introduced. Based on which the authors present some new examples of each definition. Further more the approximation problem on periodic functions of Besov is discussed in detail. Finaly, the authors introduce the development of N-widths in brief.