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Approximation of Differentiable Periodic Functions by Their Biharmonic Poisson Integrals

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Abstract

We determine the exact values and asymptotic decompositions of upper bounds of approximations by biharmonic Poisson integrals on classes of periodic differentiable functions.

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Authors and Affiliations

  1. Volyn University, Luts'k

    K. M. Zhyhallo & Yu. I. Kharkevych

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  1. K. M. Zhyhallo
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  2. Yu. I. Kharkevych
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Zhyhallo, K.M., Kharkevych, Y.I. Approximation of Differentiable Periodic Functions by Their Biharmonic Poisson Integrals. Ukrainian Mathematical Journal 54, 1462–1470 (2002). https://doi.org/10.1023/A:1023463801914

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