A note on continuous sums of ridge functions

被引：5

作者：

Aliev, Rashid A. ^{[1
,2
]}

Asgarova, Aysel A. ^{[3
]}

Ismailov, Vugar E. ^{[1
]}

机构：

[1] NAS Azerbaijan, Inst Math & Mech, Baku, Azerbaijan

[2] Baku State Univ, Baku, Azerbaijan

[3] Azerbaijan Univ Languages, Baku, Azerbaijan

来源：

JOURNAL OF APPROXIMATION THEORY | 2019年 / 237卷

关键词：

Cauchy functional equation; Modulus of continuity; Ridge function; APPROXIMATION;

D O I：

10.1016/j.jat.2018.09.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove that if a continuous multivariate function is represented by a sum of arbitrarily behaved ridge functions, then, under a suitable condition, it can be represented by a sum of continuous ridge functions. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：210 / 221

页数：12

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