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Approximation characteristics of the Nikol’sky-Besov-type classes of periodic single- and multivariable functions in the B1,1 space

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Abstract

Exact order-of-magnitude estimates of the orthowidths and similar to them approximate characteristics of the Nikol’sky-Besov-type classes of periodic single- and multivariable functions in the B1, 1 space have been obtained.

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Authors and Affiliations

  1. Lesya Ukrainka East-European National University, Luts’k, Ukraine

    Svitlana B. Hembars’ka & Oksana V. Fedunyk-Yaremchuk

Authors
  1. Svitlana B. Hembars’ka
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  2. Oksana V. Fedunyk-Yaremchuk
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Correspondence to Svitlana B. Hembars’ka.

Additional information

Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 18, No. 3, pp. 389–405, July–September, 2021.

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Hembars’ka, S.B., Fedunyk-Yaremchuk, O.V. Approximation characteristics of the Nikol’sky-Besov-type classes of periodic single- and multivariable functions in the B1,1 space. J Math Sci 259, 75–87 (2021). https://doi.org/10.1007/s10958-021-05600-2

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  • DOI: https://doi.org/10.1007/s10958-021-05600-2

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