\(C^2\) rational quartic interpolation spline with local shape preserving property

DOI10.1016/j.aml.2015.02.005zbMath1323.41013OpenAlexW2075855635MaRDI QIDQ494241

Yuanpeng Zhu, Xu-li Han

Publication date: 31 August 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.02.005

zbMATH Keywords

convergence analysisapproximation ordershape-preserving interpolationrational quartic interpolation spline

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Spline approximation (41A15)

Related Items (7)

A class of blending functions with \(C^{\infty}\) smoothness ⋮ Cubic Hermite interpolation with minimal derivative oscillation ⋮ Piecewise polynomial curves with normalized derivatives ⋮ \(C^2\) positivity-preserving rational interpolation splines in one and two dimensions ⋮ \(C^2\) rational quartic/cubic spline interpolant with shape constraints ⋮ \(C^2\) rational interpolation splines with region control and image interpolation application ⋮ Shape-preserving piecewise rational interpolation with higher order continuity

Cites Work

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• Monotone and convex interpolation by weighted quadratic splines
• Discrete weighted cubic splines
• An explicit method of \(C^ 2\) interpolation using splines
• A survey on univariate data interpolation and approximation by splines of given shape
• Monotonicity-preserving image rational cubic spline for monotone data
• Convexity-Preserving Piecewise Rational Quartic Interpolation
• Shape Preserving Interpolation to Convex Data by Rational Functions with Quadratic Numerator and Linear Denominator

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