Approximation of the classes \(B_{p,\theta}^\Omega\) of periodic functions of many variables by Fourier sums in the space \(L_p\) with \(p=1,\infty\)

DOI10.1007/S11253-013-0722-9zbMath1270.42003OpenAlexW2063648291MaRDI QIDQ352167

Vitalii Myroniuk

Publication date: 4 July 2013

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

Full work available at URL: https://doi.org/10.1007/s11253-013-0722-9

zbMATH Keywords

trigonometric approximationgeneralized Besov class

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Fourier series and coefficients in several variables (42B05)

Related Items (1)

Trigonometric approximations and Kolmogorov widths of anisotropic Besov classes of periodic functions of several variables

Cites Work

• Approximation of the classes \(B^{\omega}_{p,\theta}\) of periodic functions of several variables by polynomials with a spectrum in cubic domains
• The \(N\)-width for a generalized periodic Besov classes
• The infinite-dimensional widths and optimal recovery of generalized Besov classes
• Best M-Term trigonometric approximations of the classes $$ B_{p,\theta }^\Omega $$ of periodic functions of many variables
• Best orthogonal trigonometric approximations of the classes B Ω p,θ of periodic functions of many variables
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