Approximation of functions from the isotropic Nikol'skii-Besov classes in the uniform and integral metrics

DOI10.1007/S11253-016-1175-8zbMath1386.41008OpenAlexW2394728187MaRDI QIDQ1684601

Sergii Ya. Yanchenko

Publication date: 11 December 2017

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

Full work available at URL: https://doi.org/10.1007/s11253-016-1175-8

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Trigonometric approximation (42A10) Multidimensional problems (41A63) Approximation by other special function classes (41A30) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (2)

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

Cites Work

• Approximation of the classes \(B^{\omega}_{p,\theta}\) of periodic functions of several variables by polynomials with a spectrum in cubic domains
• Approximation of functions of many variables from the classes \(B_{p,\theta}^\Omega(\mathbb R^d)\) by entire functions of exponential type
• Estimations of linear widths of the classes \(B_{p,\theta}^\Omega\) of periodic functions of many variables in the space \(L_q\)
• Approximative characteristics of the isotropic classes of periodic functions of many variables
• Trigonometric and orthoprojection widths of classes of periodic functions of many variables
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