On the best approximation of functions of many variables by algebraic polynomials
type: Item
instance of: scholarly article
zbMATH Open document ID: 0865.41010
publication date: 1997-07-08T00:00:00Z
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 41A50
zbMATH DE Number: 982580
zbMATH Keywords: approximation of non-periodic functions
author: V. A. Abilov
MaRDI profile type: Publication
title: On the best approximation of functions of many variables by algebraic polynomials
published in: East Journal on Approximations
review text: The author considers problems concerning the approximation of non-periodic functions of \(N\) variables by algebraic polynomials. For this purpose he introduces the notation of \(k\)-th difference that characterizes the smoothness of functions of \(N\) variables. Utilizing this he proves several interesting theorems pertaining to the relations between the structural properties of non-periodic functions of \(N\) variables and their best approximation by algebraic polynomials.
reviewed by: László Leindler
description: scientific article; zbMATH DE number 982580