Approximation by superpositions of a sigmoidal function

被引：4

作者：

Lewicki, G

Marino, G

机构：

[1] Jagiellonian Univ, Dept Math, PL-30059 Krakow, Poland

[2] Univ Calabria, Dept Math, IT-87036 Arcavacata Di Rende, Cosenza, Italy

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2003年 / 22卷 / 02期

关键词：

Holder continuity property; sigmoidal function; phi-variation; uniform approximation;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We generalize a result of Gao and Xu [4] concerning the approximation of functions of bounded variation by linear combinations of a fixed sigmoidal function to the class of functions of bounded phi-variation (Theorem 2.7). Also, in the case of one variable, [1: Proposition 1] is improved. Our proofs are similar to that of [4].

引用

页码：463 / 470

页数：8

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