Abstract
We obtained the exact order estimates of deviations of functions from the anisotropic Nikol’skii–Besov classes \( {B}_{p,\theta}^r\left({\mathrm{\mathbb{R}}}^d\right) \) from their sections of the Fourier integral. The error of the approximation is evaluated in the metric of the Lebesgue space L∞(ℝd).
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Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 14, No. 4, pp. 595–604 October–December, 2017.
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Yanchenko, S.Y. Order Estimates of Approximation Characteristics of Functions From the Anisotropic Nikol'skii–Besov Classes. J Math Sci 234, 98–105 (2018). https://doi.org/10.1007/s10958-018-3984-9
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DOI: https://doi.org/10.1007/s10958-018-3984-9