Best trigonometric and bilinear approximations of classes of functions of several variables

DOI10.1134/S0001434613090095zbMath1286.42008OpenAlexW2037641219MaRDI QIDQ2436373

A. S. Romanyuk

Publication date: 24 February 2014

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

Full work available at URL: https://doi.org/10.1134/s0001434613090095

zbMATH Keywords

best trigonometric approximationMinkowski inequalitybest bilinear approximationFourier sumNikol'skii-Besov class of periodic functionsVallee-Poussin kernel

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05)

Related Items (4)

Estimate for the order of orthoprojection width of the Nikol'skii-Besov class in the metric of anisotropic Lorentz spaces ⋮ Characteristics of the linear and nonlinear approximations of the Nikol'skii-Besov-type classes of periodic functions of several variables ⋮ On the Order of the Trigonometric Diameter of the Anisotropic Nikol’skii–Besov Class in the Metric of Anisotropic Lorentz Spaces ⋮ Estimation of the best linear approximations for the classes \(B_{\mathrm{p},\theta}^{\mathrm{r}}\) and singular numbers of the integral operators

Cites Work

• Bilinear approximation and applications
• Greedy algorithm and \(m\)-term trigonometric approximation
• Nonlinear approximation by trigonometric sums
• Best $ M$-term trigonometric approximations of Besov classes of periodic functions of several variables
• Bilinear and trigonometric approximations of periodic functions of several variables of Besov classes $ B_{p, \theta}^r$
• Approximation of classes of periodic functions of several variables
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