Best trigonometric and bilinear approximations for the classes of \((\psi,\beta)\)-differentiable periodic functions

DOI10.1007/S11253-016-1232-3zbMath1490.42005OpenAlexW2544738653MaRDI QIDQ1729443

V. V. Shkapa

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/s11253-016-1232-3

zbMATH Keywords

exact-order estimatesbest trigonometric approximations

Mathematics Subject Classification ID

Trigonometric approximation (42A10)

Related Items (1)

Estimation of the best bilinear approximations for the classes of \((\psi, \beta)\)-differentiable periodic multivariable functions

Cites Work

• Estimates for bilinear approximations of the classes \(S_{p,\theta}^\Omega B\) of periodic functions of two variables
• Best trigonometric approximations for some classes of periodic functions of several variables in the uniform metric
• Bilinear approximation and applications
• Order estimates for the best approximations and approximations by Fourier sums of the classes of \((\psi, \beta)\)-differential functions
• The best trigonometric and bilinear approximations for functions of many variables from the classes \(B^ r_{p,\theta}\). II
• Asymptotic estimates for the best trigonometric and bilinear approximations of classes of functions of several variables
• [https://portal.mardi4nfdi.de/wiki/Publication:3138196 Best trigonometric and bilinear approximations of functions of several variables from the classes Bp,?r� I]
• Best $ M$-term trigonometric approximations of Besov classes of periodic functions of several variables
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