Estimation of the best linear approximations for the classes \(B_{\mathrm{p},\theta}^{\mathrm{r}}\) and singular numbers of the integral operators

DOI10.1007/s11253-017-1304-zzbMath1499.42012OpenAlexW2601546786MaRDI QIDQ1729555

A. S. Romanyuk, V. S. Romanyuk

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/s11253-017-1304-z

zbMATH Keywords

integral operatorsexact-order estimatesNikol'skii-Besov classesbest bilinear approximationsorders of singular numbers

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Best approximation, Chebyshev systems (41A50) Multidimensional problems (41A63)

Related Items (1)

Kolmogorov widths and bilinear approximations of the classes of periodic functions of one and many variables

Cites Work

• Bilinear approximation and applications
• Summability of singular values of \(L_2\) kernels. Analogies with Fourier series
• Best bilinear approximations of functions from Nikol'skii-Besov classes
• Best bilinear approximations for the classes of functions of many variables
• Best trigonometric and bilinear approximations of classes of functions of several variables
• Asymptotic estimates for the best trigonometric and bilinear approximations of classes of functions of several variables
• The Eigen-Values and Singular Values of Integral Equations^†
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Estimation of the best linear approximations for the classes \(B_{\mathrm{p},\theta}^{\mathrm{r}}\) and singular numbers of the integral operators