2017
Том 69
№ 5

All Issues

Approximation of Poisson Integrals by de la Vallée Poussin Sums

Serdyuk A. S.

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Abstract

On the classes of Poisson integrals of functions belonging to unit balls in the spaces C and L, we obtain asymptotic equalities for the upper bounds of approximations by de la Vallée Poussin sums in the uniform metric and the integral metric, respectively.

English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 1, pp 122-134.

Citation Example: Serdyuk A. S. Approximation of Poisson Integrals by de la Vallée Poussin Sums // Ukr. Mat. Zh. - 2004. - 56, № 1. - pp. 97-107.

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