We obtain asymptotic equalities for the least upper bounds of approximations of classes of Poisson integrals of periodic functions by a linear approximation method of special form in the metrics of the spaces C and L p .
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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 60, No. 7, pp. 976–982, July, 2008.
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Serdyuk, A.S. Approximation of Poisson integrals by one linear approximation method in uniform and integral metrics. Ukr Math J 60, 1144–1152 (2008). https://doi.org/10.1007/s11253-008-0115-7
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DOI: https://doi.org/10.1007/s11253-008-0115-7