Sharp estimates for mean square approximations of classes of differentiable periodic functions by shift spaces

DOI10.3103/S1063454118010120zbMath1402.41003OpenAlexW2802943153MaRDI QIDQ1792122

O. L. Vinogradov, A. Yu. Ulitskaya

Publication date: 11 October 2018

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1063454118010120

zbMATH Keywords

best approximationsharp constantsshift spaces

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by other special function classes (41A30) Best constants in approximation theory (41A44)

Related Items (4)

Sharp estimates for the mean-square approximations of convolution classes by shift spaces on the axis ⋮ Fourier analysis in spaces of shifts ⋮ Optimal subspaces for mean square approximation of classes of differentiable functions on a segment ⋮ Sharp estimates for mean square approximations of classes of periodic convolutions by 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
• Periodic spline orthonormal bases
• Approximation by periodic spline interpolants on uniform meshes
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Sharp estimates for mean square approximations of classes of differentiable periodic functions by shift spaces