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Approximate characteristics of the classes \( {B}_{p,\theta}^{\Omega} \) of periodic functions of one variable and many ones

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Abstract

We obtained the exact-by-order estimates of some approximate characteristics of classes of the Nikol’skii–Besov type of periodic functions of one variable and many ones in the space B∞,1 such that the norm in it is not weaker than the L∞-norm.

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Authors and Affiliations

  1. Lesya Ukrainka East-European National University, Lutsk, Ukraine

    Mykhailo V. Hembars’kyi & Svitlana B. Hembars’ka

Authors
  1. Mykhailo V. Hembars’kyi
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  2. Svitlana B. Hembars’ka
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Correspondence to Mykhailo V. Hembars’kyi.

Additional information

Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 16, No. 1, pp. 88–104 January–March, 2019.

Translated from Ukrainian by V.V. Kukhtin

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Hembars’kyi, M.V., Hembars’ka, S.B. Approximate characteristics of the classes \( {B}_{p,\theta}^{\Omega} \) of periodic functions of one variable and many ones. J Math Sci 242, 820–832 (2019). https://doi.org/10.1007/s10958-019-04518-0

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  • DOI: https://doi.org/10.1007/s10958-019-04518-0

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