Inequalities between the best approximations and homogenizations of moduli of continuity in the space \(L_{2}\)
type: Item
instance of: scholarly article
title: Inequalities between the best approximations and homogenizations of moduli of continuity in the space \(L_{2}\)
zbMATH Open document ID: 1229.41031
DOI: 10.1134/S1064562410060141
author: Gulzorkhon Amirshoevich Yusupov
author: Mirgand Shabozovich Shabozov
published in: Doklady Mathematics
publication date: 2011-06-08T00:00:00Z
review text: Exact inequalities between the best approximations of periodic differentiable functions by trigonometric polynomials and \(m\)th-order moduli of continuity in \(L^2[0,\pi]\) are obtained. Exact values of \(n\)-widths are found for some classes of functions determined by moduli of continuity.
Mathematics Subject Classification ID: 41A50
zbMATH DE Number: 5905499
reviewed by: A. R. Alimov
MaRDI profile type: Publication
full work available at URL: s1064562410060141
OpenAlex ID: W2078874328
description: scientific article; zbMATH DE number 5905499