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  • Autor
    • Serdyuk, Anatoly
    • Stepaniuk, Tetiana
  • TitelLebesque-type inequalities for the Fourier sums on classes of generalized Poisson integrals
  • Datei
  • Erschienen inBulletin de la Soc. Sci. Lettres Lodz. Ser. Rech. Deform
  • Erscheinungsjahr2018
  • LicenceCC-BY
  • ZugriffsrechteCC-BY
  • Download Statistik150
  • Peer ReviewJa
  • AbstractFor functions from the set of generalized Poisson integrals \(C_β^{α,r} L_p , 1 ≤ p < ∞\), we obtain upper estimates for the deviations of Fourier sums in the uniform metric in terms of the best approximations of the generalized derivatives \(f_β^{α,r}\) of functions of this kind by trigonometric polynomials in the metric of the spaces \(L_p\) . Obtained estimates are asymptotically best possible.