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Approximation properties of Poisson integrals for the classes C ψ β H α

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Abstract

Questions dealing with the approximation of functions from the classes C ψ β H α by Poisson integrals are studied. The Kolmogorov-Nikol’skii problem for Poisson integrals for the classes C ψ β H α is solved in the uniform metric.

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Correspondence to Yu. I. Kharkevich.

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Original Russian Text © Yu. I. Kharkevich, T. A. Stepanyuk, 2014, published in Matematicheskie Zametki, 2014, Vol. 96, No. 6, pp. 939–952.

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Kharkevich, Y.I., Stepanyuk, T.A. Approximation properties of Poisson integrals for the classes C ψ β H α . Math Notes 96, 1008–1019 (2014). https://doi.org/10.1134/S0001434614110406

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  • DOI: https://doi.org/10.1134/S0001434614110406

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