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Kolmogorov Widths of the Nikol’skii–Besov Classes of Periodic Functions of Many Variables in the Space of Quasicontinuous Functions

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Ukrainian Mathematical Journal Aims and scope

We obtain order estimates for the M-dimensional Kolmogorov widths of the Nikol’skii–Besov classes of periodic functions of many variables with predominant mixed derivative in the metric of the space of quasicontinuous functions (QC-space).

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Authors and Affiliations

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

    A. S. Romanyuk & S. Ya. Yanchenko

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  1. A. S. Romanyuk
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Correspondence to S. Ya. Yanchenko.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, No. 2, pp. 220–232, February, 2022. Ukrainian DOI: https://doi.org/10.37863/umzh.v74i2.6932.

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Romanyuk, A.S., Yanchenko, S.Y. Kolmogorov Widths of the Nikol’skii–Besov Classes of Periodic Functions of Many Variables in the Space of Quasicontinuous Functions. Ukr Math J 74, 251–265 (2022). https://doi.org/10.1007/s11253-022-02061-x

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