Sharp estimates for the mean-square approximations of convolution classes by shift spaces on the axis

DOI10.1134/S0037446623010160MaRDI QIDQ2687467

A. Yu. Ulitskaya

Publication date: 2 March 2023

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

zbMATH Keywords

best approximationsharp constantshift spaceconvolution class

Mathematics Subject Classification ID

Approximations and expansions (41Axx) Harmonic analysis in several variables (42Bxx) Inequalities in real analysis (26Dxx)

Cites Work

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• Approximation by multivariate quasi-projection operators and Fourier multipliers
• Structural characterization of deviations of quasi-projectors on the real line
• MEAN DIMENSION, WIDTHS, AND OPTIMAL RECOVERY OF SOBOLEV CLASSES OF FUNCTIONS ON THE LINE
• Approximation from Shift-Invariant Subspaces of L 2 (ℝ d )
• Sharp constants for approximations of convolution classes with an integrable kernel by spaces of shifts
• Classes of convolutions with a singular family of kernels: Sharp constants for approximation by spaces of shifts
• Sharp estimates for mean square approximations of classes of periodic convolutions by spaces of shifts
• On exact values of \(n\)-widths in a Hilbert space

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