2017
Том 69
№ 9

All Issues

Complete Asymptotics of the Deviation of a Class of Differentiable Functions from the Set of Their Harmonic Poisson Integrals

Kharkevych Yu. I., Zhyhallo K. M.

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Abstract

On a class of differentiable functions W r and the class \(\overline W ^r \) of functions conjugate to them, we obtain a complete asymptotic expansion of the upper bounds \(\mathcal{E}(\mathfrak{N},A\rho )_C \) of deviations of the harmonic Poisson integrals of the functions considered.

English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 1, pp 51-63.

Citation Example: Kharkevych Yu. I., Zhyhallo K. M. Complete Asymptotics of the Deviation of a Class of Differentiable Functions from the Set of Their Harmonic Poisson Integrals // Ukr. Mat. Zh. - 2002. - 54, № 1. - pp. 43-52.

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