Best approximation of the functions from anisotropic Nikol'skii-Besov classes defined in \(\mathbb{R}^d\)

DOI10.1007/s11253-018-1523-yzbMath1423.41044arXiv1703.10699OpenAlexW2901046290MaRDI QIDQ2274547

Sergii Ya. Yanchenko

Publication date: 20 September 2019

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.10699

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Multidimensional problems (41A63)

Cites Work

• Trigonometric approximations and Kolmogorov widths of anisotropic Besov classes of periodic functions of several variables
• Approximation of functions from the isotropic Nikol'skii-Besov classes in the uniform and integral metrics
• Optimal recovery of anisotropic Besov-Wiener classes
• Average widths and optimal recovery of multivariate Besov classes in \(L_p (\mathbb{R}^d)\)
• Optimal quadrature problem on Hardy-Sobolev classes
• Approximative characteristics of the isotropic classes of periodic functions of many variables
• Trigonometric and orthoprojection widths of classes of periodic functions of many variables
• Approximation of the classes $ S_{p,\theta }^rB\left( {{\mathbb{R}^d}} \right) $ of functions of many variables by entire functions of a special form
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