Estimates for the approximate characteristics of the classes \(B_{p,\Theta}^{\Omega}\) of periodic functions of two variables with given majorant of mixed moduli of continuity
type: Item
instance of: scholarly article
title: Estimates for the approximate characteristics of the classes \(B_{p,\Theta}^{\Omega}\) of periodic functions of two variables with given majorant of mixed moduli of continuity
zbMATH Open document ID: 1246.41007
author: A. F. Konohrai
published in: Ukrainian Mathematical Journal
publication date: 2012-03-19T00:00:00Z
review text: Bilateral estimates are given for the orthoprojective widths and certain related widths on Besov type spaces for periodic functions of two variables. These estimates are of power-logarithmic form with respect to the dimension of the approximating subspace.
reviewed by: Elijah Liflyand
Mathematics Subject Classification ID: 41A46
Mathematics Subject Classification ID: 42B05
Mathematics Subject Classification ID: 42B35
zbMATH DE Number: 6015576
zbMATH Keywords: width
zbMATH Keywords: Besov space
zbMATH Keywords: orthoprojection
zbMATH Keywords: modulus of continuity
MaRDI profile type: Publication
full work available at URL: s11253-011-0499-7
OpenAlex ID: W2054133692
cites work: The orthoprojection widths of some classes of periodic functions of two variables with a given majorant of the mixed moduli of continuity
cites work: Q4231101
cites work: Representation and approximation of periodic functions of several variables with given mixed modulus of continuity
cites work: Approximation characteristics of the classes B p,θ Ω of periodic functions of many variables
cites work: Q3027578
cites work: Q3808629
cites work: Q4780968
cites work: Q4780972
DOI: 10.1007/S11253-011-0499-7
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description: scientific article; zbMATH DE number 6015576