Order estimates of approximation characteristics of functions from\n anisotropic Nikol'skii-Besov classes

2017/09/14 by S. Ya. Yanchenko, Yanchenko, S. Ya.
Mathematics · #Mathematical Approximation and Integration #Approximation Theory and Sequence Spaces

paper · pdf · doi:10.48550/arxiv.1709.04650

Abstract

We obtained exact order estimates of the deviation of functions from\nanisotropic Nikol'skii-Besov classes\nB^ boldsymbolr_p,\θ(\ℝ^d) from their sections of the\nFourier integral. The error of the approximation is estimated in the metric of\nLebesgue space L_\∞(\ℝ^d).\n

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