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The generalized Marcinkiewicz-Zygmund inequality for trigonometric polynomials

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Publication:1189684
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DOI10.1016/0022-247X(91)90344-YzbMath0752.42001OpenAlexW2077588304MaRDI QIDQ1189684

Yuan Xu

Publication date: 27 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(91)90344-y


zbMATH Keywords

Marcinkiewicz-Zygmund inequalitytrigonometric polynomialmean convergence


Mathematics Subject Classification ID

Trigonometric interpolation (42A15) Trigonometric polynomials, inequalities, extremal problems (42A05)


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Polynomial wavelets on the interval ⋮ Trigonometric wavelets for Hermite interpolation ⋮ The natural integral equations of plane elasticity problem and its wavelet methods. ⋮ On \(L_p\)-error of bivariate polynomial interpolation on the square ⋮ On Lagrange Interpolation at Disturbed Roots of Unity



Cites Work

  • Sur l'approximation d'une fonction périodique et de ses dérivées successives par un polynôme trigonométrique et par ses dérivées successives
  • Замечания об ихтерполировании
  • Quadrature Sums Involving pth Powers of Polynomials
  • Convergence of lacunary trigonometric interpolation on equidistant nodes
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