Fifty years of Schoenberg's problem on the convergence of spline interpolation

DOI10.1134/S0081543815020236zbMath1323.41011OpenAlexW2324328828MaRDI QIDQ2516611

Yu. N. Subbotin, Yuriy S. Volkov

Publication date: 3 August 2015

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543815020236

zbMATH Keywords

interpolationconvergencepolynomial splines

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) History of mathematics in the 21st century (01A61) Spline approximation (41A15) History of approximations and expansions (41-03)

Related Items (12)

Boundary-consistent B-spline filtering schemes and application to high-fidelity simulations of turbulence ⋮ Construction of approximation functionals for minimal splines ⋮ Estimates for solutions of bi-infinite systems of linear equations ⋮ Estimates of solutions to infinite systems of linear equations and the problem of interpolation by cubic splines on the real line ⋮ Условия формосохранения при интерполяции кубическими сплайнами ⋮ Convergence of quartic interpolating splines ⋮ Study of the convergence of interpolation processes with splines of even degree ⋮ On error estimates of local approximation by splines ⋮ Efficient computation of Favard constants and their connection to Euler polynomials and numbers ⋮ One problem of extremal functional interpolation and the Favard constants ⋮ The general problem of polynomial spline interpolation ⋮ Convergence of spline interpolation processes and conditionality of systems of equations for spline construction

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