Interpolation by smooth functions under restrictions on the derivatives

DOI10.1016/0021-9045(80)90077-5zbMath0432.41001OpenAlexW2007632272MaRDI QIDQ1138735

S. H. Smith

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-9045(80)90077-5

zbMATH Keywords

Sobolev spacecubic splineconvex interpolationdegree theory of mappings in finite dimensional Euclidean space

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Approximation by other special function classes (41A30)

Related Items (17)

Smoothing noisy data under monotonicity constraints existence, characterization and convergence rates ⋮ Contrained interpolants with minimal \(W^{k,p}\)-norm ⋮ An algorithm for computing constrained smoothing spline functions ⋮ An algorithm for computing shape-preserving interpolating splines of arbitrary degree ⋮ Best interpolation in a strip. II: Reduction to unconstrained convex optimization ⋮ Условия формосохранения при интерполяции кубическими сплайнами ⋮ Near-optimal tension parameters in convexity preserving interpolation by generalized cubic splines ⋮ Duality and well-posedness in convex interpolation^∗) ⋮ Extremal Interpolation of Convex Scattered Data in $$\mathbb {R}^3$$ R 3 Using Tensor Product Bézier Surfaces ⋮ A survey on univariate data interpolation and approximation by splines of given shape ⋮ Approximation by shape preserving interpolation splines ⋮ Monotone interpolation of scattered data in \({\mathbb{R}}^ s\) ⋮ Armijo Newton method for convex best interpolation ⋮ On the construction of optimal monotone cubic spline interpolations ⋮ Spline smoothing under constraints on derivatives ⋮ Convexity-preserving interpolatory subdivision ⋮ Constrained \(L_ p\) approximation

Cites Work

• Best mean approximation by splines satisfying generalized convexity constraints
• Algorithms for Computing Shape Preserving Spline Interpolations to Data
• Monotone and Convex Spline Interpolation
• Interpolation by Convex Quadratic Splines
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