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Approximation in the mean of linear combinations of shifts of certain functions

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Publication:1171718
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DOI10.1007/BF01086078zbMath0499.41017OpenAlexW2020138922MaRDI QIDQ1171718

S. A. Pichugov, Vladislav F. Babenko

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1007/bf01086078


zbMATH Keywords

trigonometric polynomialsapproximation in the meanbest one-sided


Mathematics Subject Classification ID

Trigonometric approximation (42A10) Best approximation, Chebyshev systems (41A50) Convolution, factorization for one variable harmonic analysis (42A85) Approximation by arbitrary linear expressions (41A45)


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Norms of projections in \(L_ p(\mu)\) with ``small kernels ⋮ On geometric properties of the spaces \(L^{p(x)}\) ⋮ Minimal projections in tensor-product spaces



Cites Work

  • On one-sided approximation by trigonometrical polynomials
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