Sharp estimates for mean square approximations of classes of periodic convolutions by spaces of shifts

DOI10.1090/spmj/1650zbMath1464.41003OpenAlexW3135165234WikidataQ114093814 ScholiaQ114093814MaRDI QIDQ5858897

A. Yu. Ulitskaya

Publication date: 15 April 2021

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1650

zbMATH Keywords

best approximationsharp constantsspaces of shiftsclasses of convolutions

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (2)

Sharp estimates for the mean-square approximations of convolution classes by shift spaces on the axis ⋮ Fourier analysis in spaces of shifts

Cites Work

• Best approximation of certain classes of smooth functions on the real axis by splines of a higher order
• Sharp inequalities for approximations of classes of periodic convolutions by odd-dimensional subspaces of shifts
• Sharp estimates for mean square approximations of classes of differentiable periodic functions by shift spaces
• Periodic spline orthonormal bases
• Approximation by periodic spline interpolants on uniform meshes
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