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Approximation of the Classes of Generalized Poisson Integrals by Fourier Sums in Metrics of the Spaces L S

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Ukrainian Mathematical Journal Aims and scope

In metrics of the spaces L s , 1 ≤ s ≤ 1, we establish asymptotic equalities for the upper bounds of approximations by Fourier sums in the classes of generalized Poisson integrals of periodic functions that belong to the unit ball in the space L 1 .

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

    A. S. Serdyuk

  2. L. Ukrainka East-European National University, Lutsk, Ukraine

    T. A. Stepanyuk

  3. Graz University of Technology, Graz, Austria

    T. A. Stepanyuk

Authors
  1. A. S. Serdyuk
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  2. T. A. Stepanyuk
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 69, No. 5, pp. 695–704, May, 2017.

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Serdyuk, A.S., Stepanyuk, T.A. Approximation of the Classes of Generalized Poisson Integrals by Fourier Sums in Metrics of the Spaces L S . Ukr Math J 69, 811–822 (2017). https://doi.org/10.1007/s11253-017-1397-4

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  • DOI: https://doi.org/10.1007/s11253-017-1397-4

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