The approximation in the \(L_p\) metric of differentiable functions of several variables by Fourier sums

DOI10.1007/BF00968291zbMath0314.42005MaRDI QIDQ1220677

N. S. Nikol'skaya

Publication date: 1974

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

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Multidimensional problems (41A63) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Summability and absolute summability of Fourier and trigonometric series (42A24) Approximation by arbitrary linear expressions (41A45)

Related Items

Approximation of classes of smooth functions of several variables ⋮ Fourier-Laplace series on a sphere ⋮ Multiple Fourier series and integrals

Cites Work

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• On multipliers preserving convergence of trigonometric series almost everywhere
• Sur les multiplicateurs des séries de Fourier