Trigonometric widths of classes of periodic functions of many variables

DOI10.1007/S11253-013-0709-6zbMath1270.42002OpenAlexW2153015377MaRDI QIDQ352155

N. V. Derev'yanko

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/s11253-013-0709-6

zbMATH Keywords

trigonometric width

Mathematics Subject Classification ID

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

Related Items (2)

Characteristics of the linear and nonlinear approximations of the Nikol'skii-Besov-type classes of periodic functions of several variables ⋮ Estimations of linear widths of the classes \(B_{p,\theta}^\Omega\) of periodic functions of many variables in the space \(L_q\)

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
• On the minimum of norms of mixed derivatives of trigonometric polynomials with given number of harmonics
• The infinite-dimensional widths and optimal recovery of generalized Besov classes
• On best \(m\)-term approximations and the entropy of sets in the space \(L^ 1\)
• Trigonometric and orthoprojection widths of classes of periodic functions of many variables
• DIAMETERS OF SETS IN NORMED LINEAR SPACES AND THE APPROXIMATION OF FUNCTIONS BY TRIGONOMETRIC POLYNOMIALS
• Best $ M$-term trigonometric approximations of Besov classes of periodic functions of several variables
• Certain problems of closest approximation
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