The best approximation of functions from anisotropic Nikol'skii-Besov classes defined in ℝ^d

2017/03/30 by S. Ya. Yanchenko, Yanchenko, S. Ya.
Mathematics · #41A30 #41A50 #41A63 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Approximation and Integration

paper · pdf · doi:10.48550/arxiv.1703.10699

openalex publication_date 2017/03/30 · openalex created_date 2017/04/14 · openalex updated_date 2026/07/28

Abstract

We establish the exact-order estimates of the best approximations of the functions from anisotropic Nikol'skii-Besov classes of several variables by entire functions in the Lebesgue spaces.

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