Fair upper bounds for the curvature in univariate convex interpolation

DOI10.1007/BF02510362zbMath0893.41003OpenAlexW2087069103MaRDI QIDQ1378474

Walter Heß, Jochen W. Schmidt

Publication date: 30 August 1998

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02510362

zbMATH Keywords

convex interpolation

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Approximation with constraints (41A29) Spline approximation (41A15)

Cites Work

• A survey on univariate data interpolation and approximation by splines of given shape
• Powell-Sabin splines in range restricted interpolation of scattered data
• Staircase algorithm and construction of convex spline interpolants up to the continuity \(C^3\)
• Interpolation in a derivative strip
• Scattered data interpolation subject to piecewise quadratic range restrictions
• An always successful method in univariate convex \(C^ 2\) interpolation
• On Shape Preserving Quadratic Spline Interpolation
• Monotone and Convex Spline Interpolation
• Shape Preserving C³ Data Interpolation and C³ Histopolation with Splines on Threefold Refined Grids
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