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

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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.

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Zhyhallo, K.M., Kharkevych, Y.I. Complete Asymptotics of the Deviation of a Class of Differentiable Functions from the Set of Their Harmonic Poisson Integrals. Ukrainian Mathematical Journal 54, 51–63 (2002). https://doi.org/10.1023/A:1019789402502

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  • DOI: https://doi.org/10.1023/A:1019789402502

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