Extremal functional -interpolation on an arbitrary mesh on the real axis

DOI10.1070/SM9628OpenAlexW4207003118MaRDI QIDQ5084682

Yu. N. Subbotin, Valerii T. Shevaldin

Publication date: 28 June 2022

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm9628

zbMATH Keywords

derivativesplinedifference equationdivided differenceextremal interpolation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Best approximation, Chebyshev systems (41A50) Interpolation in approximation theory (41A05) Spline approximation (41A15)

Cites Work

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• How small can one make the derivatives of an interpolating function?
• Extremal problems of functional interpolation and interpolation-in-the- mean splines
• Favard's interpolation problem in one or more variables
• Interpolation by functions with \(n\)th derivative of minimum norm
• \(H^{m,p}\)-extensions by \(H^{m,p}\)-splines
• Sur l'interpolation

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