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Extended \(L^p\)-error bounds for spline and \(L\)-spline interpolation

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Publication:1221063
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DOI10.1016/0021-9045(74)90067-7zbMath0315.41005OpenAlexW2088104828MaRDI QIDQ1221063

Stephen Demko, Richard S. Varga

Publication date: 1974

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(74)90067-7


Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15)


Related Items

Quadratic splines, Conformally flat Riemannian metrics, Schrödinger operators, and semiclassical approximation



Cites Work

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  • Piecewise Hermite interpolation in one and two variables with applications to partial differential equations
  • L-splines
  • A general method for the construction of interpolating or smoothing spline-functions
  • Application of Besov spaces to spline approximation
  • Error bounds for spline and L-spline interpolation
  • Extension of the range of a differentiable function
  • 𝑂(ℎ^{2𝑛+2-𝑙}) bounds on some spline interpolation errors
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