Lebesgue constants for some interpolating \(L\)-splines

DOI10.1134/S008154381802013XzbMath1396.41007OpenAlexW2804588849MaRDI QIDQ721521

Sergey I. Novikov

Publication date: 19 July 2018

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

Full work available at URL: https://doi.org/10.1134/s008154381802013x

zbMATH Keywords

interpolationsplinesLebesgue constant

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Spline approximation (41A15)

Cites Work

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• Sharp Lebesgue constants for bounded cubic interpolation \(\mathcal L\)-splines
• Exact Lebesgue constants for interpolatory \(\mathbb L\)-splines of third order
• Approximation of a class of differentiable functions by \({\mathcal L}\)- splines
• On the Lebesgue constants for cardinal \({\mathcal L}\)-spline interpolation
• A problem of extremal interpolation
• The Lebesgue constants for cardinal spline interpolation
• Best bounds for the uniform periodic spline interpolation operator
• On the Interval of Disconjugacy of Linear Autonomous Differential Equations
• Lebesgue Constants for Cardinal -Spline Interpolation
• Asymptotic behaviour of the Lebesgue constants of periodic interpolation splines with equidistant nodes

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