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Approximation of (ψ, β)-differentiable functions by Poisson integrals in the uniform metric

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Ukrainian Mathematical Journal Aims and scope

We obtain asymptotic equalities for upper bounds of approximations of functions from the class C ψβ,∞ by Poisson integrals in the metric of the space C.

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Authors and Affiliations

  1. Volyn National University, Luts’k, Ukraine

    T. V. Zhyhallo & Yu. I. Kharkevych

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  1. T. V. Zhyhallo
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  2. Yu. I. Kharkevych
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 11, pp. 1497–1515, November, 2009.

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Zhyhallo, T.V., Kharkevych, Y.I. Approximation of (ψ, β)-differentiable functions by Poisson integrals in the uniform metric. Ukr Math J 61, 1757–1779 (2009). https://doi.org/10.1007/s11253-010-0311-0

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  • DOI: https://doi.org/10.1007/s11253-010-0311-0

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