On Smoothest Interpolants

DOI10.1137/0519106zbMath0693.41005OpenAlexW2101299512MaRDI QIDQ3468054

Allan Pinkus

Publication date: 1988

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0519106

zbMATH Keywords

Sobolev spacesminimum \(L^ p\)-norm

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Interpolation in approximation theory (41A05)

Related Items (9)

Parametric approximation of data using ODR splines ⋮ An algorithm for quantile smoothing splines ⋮ Unnamed Item ⋮ Extension of the operator of best polynomial approximation in \(L^p(\Omega )\) ⋮ Quasi-elastic cubic splines in \(\mathbb{R}^d\) ⋮ Geometric dual formulation for first-derivative-based univariate cubic \(L_{1}\) splines ⋮ Sparsest piecewise-linear regression of one-dimensional data ⋮ Smoothest interpolation in the mean ⋮ Kolmogorov's problem on the class of multiply monotone functions

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