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Estimate for the Order of Orthoprojection Width of the Nikol’skii–Besov Class in the Metric of Anisotropic Lorentz Spaces

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We obtain a sharp estimate for the order of the orthoprojection width of the Nikol’skii–Besov class with mixed smoothness and mixed metric in the metric of anisotropic Lorentz spaces.

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Authors and Affiliations

  1. Kazakhstan Branch of Lomonosov Moscow State University, 11, Kazhymukan St., Nur-Sultan, Kazakhstan, 010010

    K. A. Bekmaganbetov & Y. Toleugazy

  2. Institute of Mathematics and Mathematical Modeling MES RK, 125, Pushkina St, Almaty, Kazakhstan, 050010

    K. A. Bekmaganbetov & Y. Toleugazy

  3. Karaganda Buketov University, 28, University St., Kereganda, Kazakhstan, 100024

    K. E. Kervenev

Authors
  1. K. A. Bekmaganbetov
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  2. K. E. Kervenev
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  3. Y. Toleugazy
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Corresponding author

Correspondence to K. A. Bekmaganbetov.

Additional information

Translated from Problemy Matematicheskogo Analiza 116, 2022, pp. 59-67.

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Bekmaganbetov, K.A., Kervenev, K.E. & Toleugazy, Y. Estimate for the Order of Orthoprojection Width of the Nikol’skii–Besov Class in the Metric of Anisotropic Lorentz Spaces. J Math Sci 264, 552–561 (2022). https://doi.org/10.1007/s10958-022-06016-2

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  • DOI: https://doi.org/10.1007/s10958-022-06016-2

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