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Direct and Inverse Theorems on the Approximation of 2π-Periodic Functions by Taylor–Abel–Poisson Operators

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Ukrainian Mathematical Journal Aims and scope

We prove direct and inverse theorems on the approximation of 2π -periodic functions by Taylor–Abel–Poisson operators in the integral metric.

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Authors and Affiliations

  1. Institute of Mathematics, University of Lübeck, Lübeck, Germany

    J. Prestin

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

    V. V. Savchuk & A. L. Shidlich

Authors
  1. J. Prestin
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  2. V. V. Savchuk
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  3. A. L. Shidlich
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Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 69, No. 5, pp. 657–669, May, 2017.

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Prestin, J., Savchuk, V.V. & Shidlich, A.L. Direct and Inverse Theorems on the Approximation of 2π-Periodic Functions by Taylor–Abel–Poisson Operators. Ukr Math J 69, 766–781 (2017). https://doi.org/10.1007/s11253-017-1394-7

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  • DOI: https://doi.org/10.1007/s11253-017-1394-7

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