We deduce asymptotic equalities for the upper bounds of deviations of biharmonic Poisson integrals on the classes of (ψ, β)-differentiable periodic functions in the uniform metric.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 7, pp. 939–959, July, 2011.
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Zhyhallo, K.M., Kharkevych, Y.I. Approximation of functions from the classes \( C_{\beta, \infty }^\psi \) by biharmonic Poisson integrals. Ukr Math J 63, 1083–1107 (2011). https://doi.org/10.1007/s11253-011-0565-1
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DOI: https://doi.org/10.1007/s11253-011-0565-1