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Approximation of the Classes \( {C}_{\beta}^{\psi } \)H𝛼 By Biharmonic Poisson Integrals

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Ukrainian Mathematical Journal Aims and scope

We study the problem of approximation of functions (ψ, β)-differentiable (in the Stepanets sense) whose (ψ, β)-derivative belongs to the class H𝛼 by biharmonic Poisson integrals in the uniform metric.

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Authors and Affiliations

  1. “Manas” Kyrgyz–Turkish University, Mersin University, Bishkek, Kyrgyzstan, Turkey

    F. G. Abdullayev

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

    Yu. I. Kharkevych

Authors
  1. F. G. Abdullayev
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  2. Yu. I. Kharkevych
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Corresponding authors

Correspondence to F. G. Abdullayev or Yu. I. Kharkevych.

Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 72, No. 1, pp. 20–35, January, 2020.

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Abdullayev, F.G., Kharkevych, Y.I. Approximation of the Classes \( {C}_{\beta}^{\psi } \)H𝛼 By Biharmonic Poisson Integrals. Ukr Math J 72, 21–38 (2020). https://doi.org/10.1007/s11253-020-01761-6

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  • DOI: https://doi.org/10.1007/s11253-020-01761-6

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