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Best Approximation of the Functions from Anisotropic Nikol’skii–Besov Classes Defined in ℝd

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Ukrainian Mathematical Journal Aims and scope

We establish the exact-order estimates for the best approximations of functions from the anisotropic Nikol’skii–Besov classes of functions of several variables by entire functions in the Lebesgue spaces.

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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. 70, No. 4, pp. 574–582, April, 2018.

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Yanchenko, S.Y. Best Approximation of the Functions from Anisotropic Nikol’skii–Besov Classes Defined in ℝd. Ukr Math J 70, 661–670 (2018). https://doi.org/10.1007/s11253-018-1523-y

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  • DOI: https://doi.org/10.1007/s11253-018-1523-y

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