Widths of some classes of functions defined by the generalized moduli of continuity \(\omega_\gamma\) in the space \(L_2\)
type: Item
instance of: scholarly article
title: Widths of some classes of functions defined by the generalized moduli of continuity \(\omega_\gamma\) in the space \(L_2\)
zbMATH Open document ID: 1381.42003
author: S. B. Vakarchuk
published in: Journal of Mathematical Sciences (New York)
publication date: 2017-12-07T00:00:00Z
Mathematics Subject Classification ID: 42A10
Mathematics Subject Classification ID: 41A46
zbMATH DE Number: 6816374
zbMATH Keywords: best polynomial approximation
zbMATH Keywords: Fourier coefficients
zbMATH Keywords: \(n\)-width
MaRDI profile type: Publication
full work available at URL: s10958-017-3577-z
OpenAlex ID: W2761182005
cites work: Jackson-type inequalities with generalized modulus of continuity and exact values of the \(n\)-widths for the classes of \((\psi,\beta)\)-differentiable functions in \(L_2\). I
cites work: Jackson-type inequalities with generalized modulus of continuity and exact values of the \(n\)-widths for the classes of \((\psi, \beta)\)-differentiable functions in \(L_2\). II
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cites work: Widths in \(L_ 2\) of classes of differentiable functions, defined by higher-order moduli of continuity
cites work: On the best polynomial approximations in \(L_2\) of some classes of \(2\pi\)-periodic functions and of the exact values of their \(n\)-widths
cites work: Best Polynomial Approximations in L 2 and Widths of Some Classes of Functions
cites work: Jackson-type inequalities and widths of function classes in \(L_{2}\)
cites work: A sharp inequality of Jackson-Stechkin type in \(L_{2}\) and the widths of functional classes
cites work: Jackson-Stechkin type inequalities for special moduli of continuity and widths of function classes in the space \(L_2\)
cites work: On the best polynomial approximation in the space \(L_2\) and widths of some classes of functions
cites work: Generalized smoothness characteristics in Jackson-type inequalities and widths of classes of functions in \(L_2\)
cites work: Inequalities between best polynomial approximations and some smoothness characteristics in the space \(L_2\) and widths of classes of functions
DOI: 10.1007/S10958-017-3577-Z
description: scientific article; zbMATH DE number 6816374