We study the approximative properties of generalized Abel–Poisson integrals P(δ), 0 < 𝛾 ≤ 2, on the Weil–Nagy classes \( {W}_{\beta, \infty}^r \) under the condition 0 < r ≤ 𝛾 in the uniform metric.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, No. 4, pp. 507–515, April, 2022. Ukrainian DOI: https://doi.org/10.37863/umzh.v74i4.7164.
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Kal’chuk, I.V., Kharkevych, Y.I. Approximation of the Classes \( {W}_{\beta, \infty}^R \) by Generalized Abel–Poisson Integrals. Ukr Math J 74, 575–585 (2022). https://doi.org/10.1007/s11253-022-02084-4
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DOI: https://doi.org/10.1007/s11253-022-02084-4