We solve the Kolmogorov–Nikol’skii problem for biharmonic Poisson integrals on the classes of (ψ, β)-differentiable periodic functions of low smoothness in the uniform metric.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 12, pp. 1602–1622, December, 2011.
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Zhyhallo, K.M., Kharkevych, Y.I. Approximation of (ψ, β)-differentiable functions of low smoothness by biharmonic poisson integrals. Ukr Math J 63, 1820–1844 (2012). https://doi.org/10.1007/s11253-012-0616-2
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DOI: https://doi.org/10.1007/s11253-012-0616-2