Approximating characteristics of the classes \(L_{\beta,p}^\psi\) of periodic functions in the space \(L_q\)

DOI10.1007/S11253-016-1152-2zbMath1380.42002OpenAlexW2319633067MaRDI QIDQ1688170

V. V. Shkapa

Publication date: 5 January 2018

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

Full work available at URL: https://doi.org/10.1007/s11253-016-1152-2

zbMATH Keywords

exact-order estimatestrigonometric widths

Mathematics Subject Classification ID

Trigonometric approximation (42A10)

Cites Work

• Order estimates for the best approximations and approximations by Fourier sums of the classes of \((\psi, \beta)\)-differential functions
• On the minimum of norms of mixed derivatives of trigonometric polynomials with given number of harmonics
• Trigonometric and orthoprojection widths of classes of periodic functions of many variables
• Best orthogonal trigonometric approximations of the classes B Ω p,θ of periodic functions of many variables
• Best M-term orthogonal trigonometric approximations of the classes ${\boldsymbol{B}}^{\boldsymbol\Omega }_{{\boldsymbol{p},\boldsymbol\Theta }}$ of periodic functions of many variables
• DIAMETERS OF SETS IN NORMED LINEAR SPACES AND THE APPROXIMATION OF FUNCTIONS BY TRIGONOMETRIC POLYNOMIALS
• Direct methods for the approximate solution of systems of singular integral equations in the case of nonnegative partial indices
• Best $ M$-term trigonometric approximations of Besov classes of periodic functions of several variables
• Jubilees Iosyp Zakharovych Shtokalo (on the 100th anniversary of his birth)
• Approximation of classes of periodic functions of several variables
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