\(H^{m,p}\)-extensions by \(H^{m,p}\)-splines

DOI10.1016/0021-9045(72)90017-2zbMath0259.41010OpenAlexW2027887808MaRDI QIDQ2560391

Michael Golomb

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1016/0021-9045(72)90017-2

Mathematics Subject Classification ID

Spline approximation (41A15)

Related Items (16)

Limits of interpolatory processes ⋮ Nonlinear interpolation and norm minimization ⋮ Extremal functional -interpolation on an arbitrary mesh on the real axis ⋮ Limits of 𝐻^{𝑘},𝑝-splines ⋮ Approximation rates for interpolation of Sobolev functions via Gaussians and allied functions ⋮ Extension criteria for homogeneous Sobolev spaces of functions of one variable ⋮ How small can one make the derivatives of an interpolating function? ⋮ Spline solutions to L\(^1\) extremal problems in one and several variables ⋮ Wsup(r,p)(R)-splines ⋮ Extremal functional interpolation and approximation by splines ⋮ Summability of Lagrange type interpolation series ⋮ Preferred NBV-splines ⋮ Nonlinear classes of splines and variational problems ⋮ Quasi-uniqueness in \(L^\infty\) extremal problems ⋮ On pLg-splines ⋮ Characterizations of absolute continuity and essential boundedness for higher order derivatives

Cites Work

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• Prolongateurs de fonctions différentiables d'une variable réelle
• Cardinal interpolation and spline functions
• Prolongement extremal de fonctions différentiables d'une variable
• SPLINE INTERPOLATION AND THE HIGHER DERIVATIVES
• Characterizations of Functions with Higher Order Derivatives in ℒ p
• On the extension of differentiable functions

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