单个函数平移和伸缩的叠加在L^p(R^d)中的逼近(英)

Appoximation by the Superpositions of One Function with its Translation and Dilation in L^P(R^d)

本文主要讨论单个函数平移和伸缩的线性组合对Lp（Rn）中任一紧集内函数的逼近．给出一个很强的逼近结果．这在神经网络应用研究中具有重要意义．

In this paper, we give a strong approximate result to the functions in the compact set of LP(Rn) by the linear combinations of one function with its dilation and translation, this topic comes from the study of neural networks.