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Approximation of Functions from the Isotropic Nikol’skii–Besov Classes in the Uniform and Integral Metrics

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Ukrainian Mathematical Journal Aims and scope

We obtain the exact-order estimations for the approximation of the isotropic Nikol’skii–Besov classes of functions of several variables by the de la Vallée-Poussin-type sums in metrics of the spaces L ∞(ℝd) and L ∞(ℝd).

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

    S. Ya. Yanchenko

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  1. S. Ya. Yanchenko
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, No. 10, pp. 1423–1433, October, 2015.

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Yanchenko, S.Y. Approximation of Functions from the Isotropic Nikol’skii–Besov Classes in the Uniform and Integral Metrics. Ukr Math J 67, 1599–1610 (2016). https://doi.org/10.1007/s11253-016-1175-8

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  • DOI: https://doi.org/10.1007/s11253-016-1175-8

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