Best approximation of periodic functions of several variables from the classes \( MB_{p,\theta}^\omega\)

DOI10.1007/s11253-012-0635-zzbMath1257.41016OpenAlexW2105586774MaRDI QIDQ1933320

Sergei A. Stasyuk

Publication date: 23 January 2013

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

Full work available at URL: https://doi.org/10.1007/s11253-012-0635-z

zbMATH Keywords

trigonometric polynomialsbest approximationperiodic functions

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50)

Cites Work

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• Approximation of the classes \(B^{\omega}_{p,\theta}\) of periodic functions of several variables by polynomials with a spectrum in cubic domains
• Diameters and best approximation of the classes \(B^r_{p,\theta}\) of periodic functions of several variables
• Representation and approximation of periodic functions of several variables with given mixed modulus of continuity
• On approximation and characterization of periodic multivariate functions which have a majorant of the mixed moduli of continuity of specific kind
• Approximation characteristics of the classes B p,θ Ω of periodic functions of many variables
• Best approximations and widths of classes of periodic functions of several variables

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