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Trigonometric diameters of the Sobolev classes \(W^ r_ p\) in the space \(L_ q\)

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Publication:1091553
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DOI10.1007/BF01159113zbMath0623.41024MaRDI QIDQ1091553

Vitaly Maiorov

Publication date: 1986

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

estimatesSobolev classKolmogorov diametertrigonometric n-diameters


Mathematics Subject Classification ID

Approximation by arbitrary nonlinear expressions; widths and entropy (41A46) Trigonometric polynomials, inequalities, extremal problems (42A05)


Related Items

Constructive sparse trigonometric approximation for functions with small mixed smoothness ⋮ An extrapolation theorem for nonlinear approximation and its applications ⋮ Incremental Greedy Algorithm and Its Applications in Numerical Integration ⋮ On estimates of \(m\)-term approximations on classes of functions with bounded mixed derivative in the Lorentz space ⋮ Sparse Approximation by Greedy Algorithms ⋮ Deterministic constructions of compressed sensing matrices ⋮ Kolmogorov and linear widths of weighted Sobolev-type classes on a finite interval. II



Cites Work

  • DIAMETERS OF SETS IN NORMED LINEAR SPACES AND THE APPROXIMATION OF FUNCTIONS BY TRIGONOMETRIC POLYNOMIALS
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