Widths of classes of periodic differentiable functions in the space \(L_{2} [0, 2\pi]\)
type: Item
instance of: scholarly article
title: Widths of classes of periodic differentiable functions in the space \(L_{2} [0, 2\pi]\)
zbMATH Open document ID: 1202.46041
DOI: 10.1134/S0001434610030351
published in: Mathematical Notes
publication date: 2010-09-24T00:00:00Z
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 41A46
zbMATH DE Number: 5791086
zbMATH Keywords: differentiable periodic function
zbMATH Keywords: width in the sense of Bernstein
zbMATH Keywords: width in the sense of Kolmogorov
zbMATH Keywords: width in the sense of Gelfand
zbMATH Keywords: trigonometric polynomial
zbMATH Keywords: Fourier series
zbMATH Keywords: modulus of continuity
zbMATH Keywords: linear operator
author: Mirgand Shabozovich Shabozov
MaRDI profile type: Publication
cites work: Widths in \(L_ 2\) of classes of differentiable functions, defined by higher-order moduli of continuity
cites work: Exact constants in Jackson-type inequalities and exact values of widths
cites work: Jackson-type inequalities and widths of function classes in \(L_{2}\)
cites work: Best Polynomial Approximations in L 2 and Widths of Some Classes of Functions
cites work: On the best approximation and exact evaluation of the widths of some classes of functions in the Bergman space \(B_{p}\), \(1 \leq p \leq \infty\)
cites work: Q3344608
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description: scientific article; zbMATH DE number 5791086