Order estimates for the approximating characteristics of functions from the classes \(S_{p,\theta}^\Omega B(\mathbb{R}^d)\) with a given majorant of mixed modules of continuity in the uniform metric

DOI10.1007/S11253-017-1342-6zbMath1490.41020OpenAlexW2620607383MaRDI QIDQ1729414

Sergii Ya. Yanchenko

Publication date: 27 February 2019

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

Full work available at URL: https://doi.org/10.1007/s11253-017-1342-6

zbMATH Keywords

entire functions of exponential typeapproximation of functions of several variablesexact-order estimates

Mathematics Subject Classification ID

Multidimensional problems (41A63) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Cites Work

• Approximation of functions from Nikolskii-Besov type classes of generalized mixed smoothness
• Spaces of functions of mixed smoothness from the decomposition point of view
• Approximation of the Besov classes of periodic functions of several variables in the space \(L_ q\)
• Best approximations of periodic functions of several variables from the classes \(B_{p,\theta}^{\Omega}\)
• Approximation of multidimensional functions with a given majorant of mixed moduli of continuity
• Approximation of functions from the classes \(S^R_{P,\theta}B\) in the uniform metric
• Approximation of classes of periodic functions of several variables
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