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Approximation of Poisson Integrals by de la Vallée Poussin Sums

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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.

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  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    A. S. Serdyuk

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  1. A. S. Serdyuk
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Serdyuk, A.S. Approximation of Poisson Integrals by de la Vallée Poussin Sums. Ukrainian Mathematical Journal 56, 122–134 (2004). https://doi.org/10.1023/B:UKMA.0000031707.50226.b9

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  • DOI: https://doi.org/10.1023/B:UKMA.0000031707.50226.b9

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