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Best Orthogonal Trigonometric Approximations of the Nikol’skii–Besov-Type Classes of Periodic Functions in the Space B∞,1

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Ukrainian Mathematical Journal Aims and scope

Exact-order estimates are obtained for the best orthogonal trigonometric approximations of the Nikol’skii–Besov-type classes of periodic functions of one and many variables in the space B∞,1.

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Authors and Affiliations

  1. L. Ukrainka Volyn National University, Lutsk, Ukraine

    S. B. Hembars’ka

  2. I. Sikorsky Kyiv Polytechnic Institute, National Technical University of Ukraine, Kyiv, Ukraine

    P. V. Zaderei

Authors
  1. S. B. Hembars’ka
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  2. P. V. Zaderei
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Correspondence to S. B. Hembars’ka.

Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, No. 6, pp. 772–783, June, 2022. Ukrainian DOI: https://doi.org/10.37863/umzh.v74i6.7070.

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Hembars’ka, S.B., Zaderei, P.V. Best Orthogonal Trigonometric Approximations of the Nikol’skii–Besov-Type Classes of Periodic Functions in the Space B∞,1. Ukr Math J 74, 883–895 (2022). https://doi.org/10.1007/s11253-022-02115-0

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  • DOI: https://doi.org/10.1007/s11253-022-02115-0

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