2017
Том 69
№ 9

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Approximation of (ψ, β)-differentiable functions of low smoothness by biharmonic Poisson integrals

Kharkevych Yu. I., Zhyhallo K. M.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 12, pp 1641-1659.

Citation Example: Kharkevych Yu. I., Zhyhallo K. M. Approximation of (ψ, β)-differentiable functions of low smoothness by biharmonic Poisson integrals // Ukr. Mat. Zh. - 2011. - 63, № 12. - pp. 1602-1622.

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