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].
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页码：463 / 470
页数：8
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