A note on the criterion for a best approximation by superpositions of functions

被引：0

作者：

Ismailov, Vugar E. ^{[1
]}

机构：

[1] NAS Azerbaijan, Inst Math & Mech, AZ-1141 Baku, Azerbaijan

来源：

STUDIA MATHEMATICA | 2018年 / 240卷 / 02期

关键词：

Chebyshev alternation theorem; best approximation; path; weak*convergence; Banach-Alaoglutheorem; REPRESENTATION; INTERPOLATION;

D O I：

10.4064/sm170314-9-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Q be a compact subset of the d-dimensional Euclidean space, and C(Q) be the space of continuous real-valued functions on Q. We consider the problem of approximation of a function f is an element of C(Q) by superpositions of the form g o s + h o p, where s, p are fixed functions from C(Q) and g, h are variable univariate functions. We obtain a Chebyshev-type criterion for a function g0 o s + h0 o p to be a best approximation to f.

引用

页码：193 / 199

页数：7

共 25 条

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