Optimal subspaces for mean square approximation of classes of differentiable functions on a segment

DOI10.1134/S1063454120030164zbMath1458.41005OpenAlexW3088807590MaRDI QIDQ2227897

O. L. Vinogradov, A. Yu. Ulitskaya

Publication date: 16 February 2021

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

Full work available at URL: https://doi.org/10.1134/s1063454120030164

zbMATH Keywords

splines\(n\)-widthsspaces of shifts

Mathematics Subject Classification ID

Spline approximation (41A15)

Cites Work

• 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
• Optimal spline spaces for \(L^2\ n\)-width problems with boundary conditions
• Approximation by periodic spline interpolants on uniform meshes
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