Convex interval interpolation with cubic splines

DOI10.1007/BF01933717zbMath0624.65007OpenAlexW4231948784MaRDI QIDQ578836

Jochen W. Schmidt

Publication date: 1986

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01933717

zbMATH Keywords

algorithmsolvabilitycubic splinesconvex interpolationinterval-valued function datasystem of weakly coupled inequalities

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Spline approximation (41A15)

Related Items (7)

Quadratic and related exponential splines in shape preserving interpolation ⋮ An unconstrained dual program for computing convex \(C^ 1\)-spline approximants ⋮ Staircase algorithm and construction of convex spline interpolants up to the continuity \(C^3\) ⋮ Shape preserving approximations by polynomials and splines ⋮ Determination of shape preserving spline interpolants with minimal curvature via dual programs ⋮ Convex interval interpolation with cubic splines. II ⋮ A local algorithm for constructing non-negative cubic splines

Uses Software

• pchip

Cites Work

• Unnamed Item
• Schwach verkoppelte Ungleichungssysteme und konvexe Spline-Interpolation
• Convex spline interpolants with minimal curvature
• Determination of shape preserving spline interpolants with minimal curvature via dual programs
• Uniform approximation by some Hermite interpolating splines
• Monotone Piecewise Cubic Interpolation
• Monotone and Convex Spline Interpolation
• Convex Cubic Splines
• Convex cubic Hermite-spline interpolation

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