2017
Том 69
№ 6

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Approximation of functions from the classes $C^{\psi}_{\beta, \infty}$ by biharmonic Poisson integrals

Kharkevych Yu. I., Zhyhallo K. M.

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Abstract

Asymptotic equalities are obtained for upper bounds of deviations of biharmonic Poisson integrals on the classes of $(\psi, \beta)$-differentiable periodic functions in the uniform metric.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 7, pp 1083-1107.

Citation Example: Kharkevych Yu. I., Zhyhallo K. M. Approximation of functions from the classes $C^{\psi}_{\beta, \infty}$ by biharmonic Poisson integrals // Ukr. Mat. Zh. - 2011. - 63, № 7. - pp. 939-959.

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